Engineering Mechanics: Statics & Dynamics 14th Edition solutions

Engineering Mechanics: Statics & Dynamics 14
The 20-kg crate is subjected to a force having a constant direction and a magnitude F = 100 N. When s = 15 m, the crate is moving to the right with a speed of 8 m>s. Determine its speed when s = 25 m. The coefficient of kinetic friction between the crate and the ground is mk = 0.25.

Engineering Mechanics: Statics & Dynamics 14
For protection, the barrel barrier is placed in front of the bridge pier. If the relation between the force and deflection of the barrier is F = (90(103)x1>2) lb, where x is in ft, determine the cars maximum penetration in the barrier. The car has a weight of 4000 lb and it is traveling with a speed

Engineering Mechanics: Statics & Dynamics 14
The crate, which has a mass of 100 kg, is subjected to the action of the two forces. If it is originally at rest, determine the distance it slides in order to attain a speed of 6 m>s. The coefficient of kinetic friction between the crate and the surface is mk = 0.2.

Engineering Mechanics: Statics & Dynamics 14
The 100-kg crate is subjected to the forces shown. If it is originally at rest, determine the distance it slides in order to attain a speed of v = 8 m>s. The coefficient of kinetic friction between the crate and the surface is mk = 0.2

Engineering Mechanics: Statics & Dynamics 14
Determine the required height h of the roller coaster so that when it is essentially at rest at the crest of the hill A it will reach a speed of 100 km>h when it comes to the bottom B. Also, what should be the minimum radius of curvature r for the track at B so that the passengers do not experience a

Engineering Mechanics: Statics & Dynamics 14
When the driver applies the brakes of a light truck traveling 40 km>h, it skids 3 m before stopping. How far will the truck skid if it is traveling 80 km>h when the brakes are applied?

Engineering Mechanics: Statics & Dynamics 14
As indicated by the derivation, the principle of work and energy is valid for observers in any inertial reference frame. Show that this is so, by considering the 10-kg block which rests on the smooth surface and is subjected to a horizontal force of 6 N. If observer A is in a fixed frame x, determine

Engineering Mechanics: Statics & Dynamics 14
A force of F = 250 N is applied to the end at B. Determine the speed of the 10-kg block when it has moved 1.5 m, starting from rest.

Engineering Mechanics: Statics & Dynamics 14
The air spring A is used to protect the support B and prevent damage to the conveyor-belt tensioning weight C in the event of a belt failure D. The force developed by the air spring as a function of its deflection is shown by the graph. If the block has a mass of 20 kg and is suspended a height d = 0

Engineering Mechanics: Statics & Dynamics 14
The force F, acting in a constant direction on the 20-kg block, has a magnitude which varies with the position s of the block. Determine how far the block must slide before its velocity becomes 15 m>s. When s = 0 the block is moving to the right at v = 6 m>s. The coefficient of kinetic friction betwe

Engineering Mechanics: Statics & Dynamics 14
The force of F = 50 N is applied to the cord when s = 2 m. If the 6-kg collar is orginally at rest, determine its velocity at s = 0. Neglect friction.

Engineering Mechanics: Statics & Dynamics 14
Design considerations for the bumper B on the 5-Mg train car require use of a nonlinear spring having the load-deflection characteristics shown in the graph. Select the proper value of k so that the maximum deflection of the spring is limited to 0.2 m when the car, traveling at 4 m>s, strikes the rig

Engineering Mechanics: Statics & Dynamics 14
The 2-lb brick slides down a smooth roof, such that when it is at A it has a velocity of 5 ft>s. Determine the speed of the brick just before it leaves the surface at B, the distance d from the wall to where it strikes the ground, and the speed at which it hits the ground.

Engineering Mechanics: Statics & Dynamics 14
Block A has a weight of 60 lb and block B has a weight of 10 lb. Determine the speed of block A after it moves 5 ft down the plane, starting from rest. Neglect friction and the mass of the cord and pulleys.

Engineering Mechanics: Statics & Dynamics 14
The two blocks A and B have weights WA = 60 lb and WB = 10 lb. If the kinetic coefficient of friction between the incline and block A is mk = 0.2, determine the speed of A after it moves 3 ft down the plane starting from rest. Neglect the mass of the cord and pulleys.

Engineering Mechanics: Statics & Dynamics 14
A small box of mass m is given a speed of v = 21 4gr at the top of the smooth half cylinder. Determine the angle u at which the box leaves the cylinder.

Engineering Mechanics: Statics & Dynamics 14
If the cord is subjected to a constant force of F = 30 lb and the smooth 10-lb collar starts from rest at A, determine its speed when it passes point B. Neglect the size of pulley C.

Engineering Mechanics: Statics & Dynamics 14
When the 12-lb block A is released from rest it lifts the two 15-lb weights B and C. Determine the maximum distance A will fall before its motion is momentarily stopped. Neglect the weight of the cord and the size of the pulleys.

Engineering Mechanics: Statics & Dynamics 14
If the cord is subjected to a constant force of F = 300 N and the 15-kg smooth collar starts from rest at A, determine the velocity of the collar when it reaches point B. Neglect the size of the pulley

Engineering Mechanics: Statics & Dynamics 14
The crash cushion for a highway barrier consists of a nest of barrels filled with an impact-absorbing material. The barrier stopping force is measured versus the vehicle penetration into the barrier. Determine the distance a car having a weight of 4000 lb will penetrate the barrier if it is originall

Engineering Mechanics: Statics & Dynamics 14
Determine the velocity of the 60-lb block A if the two blocks are released from rest and the 40-lb block B moves 2 ft up the incline. The coefficient of kinetic friction between both blocks and the inclined planes is mk = 0.10.

Engineering Mechanics: Statics & Dynamics 14
The 25-lb block has an initial speed of v0 = 10 ft>s when it is midway between springs A and B. After striking spring B, it rebounds and slides across the horizontal plane toward spring A, etc. If the coefficient of kinetic friction between the plane and the block is mk = 0.4, determine the total dis

Engineering Mechanics: Statics & Dynamics 14
The 8-kg block is moving with an initial speed of 5 m>s. If the coefficient of kinetic friction between the block and plane is mk = 0.25, determine the compression in the spring when the block momentarily stops.

Engineering Mechanics: Statics & Dynamics 14
At a given instant the 10-lb block A is moving downward with a speed of 6 ft>s. Determine its speed 2 s later. Block B has a weight of 4 lb, and the coefficient of kinetic friction between it and the horizontal plane is mk = 0.2. Neglect the mass of the cord and pulleys.

Engineering Mechanics: Statics & Dynamics 14
The 5-lb cylinder is falling from A with a speed vA = 10 ft>s onto the platform. Determine the maximum displacement of the platform, caused by the collision. The spring has an unstretched length of 1.75 ft and is originally kept in compression by the 1-ft long cables attached to the platform. Neglect

Engineering Mechanics: Statics & Dynamics 14
The catapulting mechanism is used to propel the 10-kg slider A to the right along the smooth track. The propelling action is obtained by drawing the pulley attached to rod BC rapidly to the left by means of a piston P. If the piston applies a constant force F = 20 kN to rod BC such that it moves it 0

Engineering Mechanics: Statics & Dynamics 14
The flying car is a ride at an amusement park which consists of a car having wheels that roll along a track mounted inside a rotating drum. By design the car cannot fall off the track, however motion of the car is developed by applying the cars brake, thereby gripping the car to the track and allowin

Engineering Mechanics: Statics & Dynamics 14
The 10-lb box falls off the conveyor belt at 5-ft>s. If the coefficient of kinetic friction along AB is mk = 0.2, determine the distance x when the box falls into the cart.

Engineering Mechanics: Statics & Dynamics 14
The collar has a mass of 20 kg and slides along the smooth rod. Two springs are attached to it and the ends of the rod as shown. If each spring has an uncompressed length of 1 m and the collar has a speed of 2 m>s when s = 0, determine the maximum compression of each spring due to the back-and-forth

Engineering Mechanics: Statics & Dynamics 14
The 30-lb box A is released from rest and slides down along the smooth ramp and onto the surface of a cart. If the cart is prevented from moving, determine the distance s from the end of the cart to where the box stops. The coefficient of kinetic friction between the cart and the box is mk = 0.6. 10

Engineering Mechanics: Statics & Dynamics 14
Marbles having a mass of 5 g are dropped from rest at A through the smooth glass tube and accumulate in the can at C. Determine the placement R of the can from the end of the tube and the speed at which the marbles fall into the can. Neglect the size of the can

Engineering Mechanics: Statics & Dynamics 14
The block has a mass of 0.8 kg and moves within the smooth vertical slot. If it starts from rest when the attached spring is in the unstretched position at A, determine the constant vertical force F which must be applied to the cord so that the block attains a speed vB = 2.5 m>s when it reaches B; sB

Engineering Mechanics: Statics & Dynamics 14
The 10-lb block is pressed against the spring so as to compress it 2 ft when it is at A. If the plane is smooth, determine the distance d, measured from the wall, to where the block strikes the ground. Neglect the size of the block.

Engineering Mechanics: Statics & Dynamics 14
The spring bumper is used to arrest the motion of the 4-lb block, which is sliding toward it at v = 9 ft>s. As shown, the spring is confined by the plate P and wall using cables so that its length is 1.5 ft. If the stiffness of the spring is k = 50 lb>ft, determine the required unstretched length of

Engineering Mechanics: Statics & Dynamics 14
When the 150-lb skier is at point A he has a speed of 5 ft>s. Determine his speed when he reaches point B on the smooth slope. For this distance the slope follows the cosine curve shown. Also, what is the normal force on his skis at B and his rate of increase in speed? Neglect friction and air resist

Engineering Mechanics: Statics & Dynamics 14
The spring has a stiffness k = 50 lb>ft and an unstretched length of 2 ft. As shown, it is confined by the plate and wall using cables so that its length is 1.5 ft. A 4-lb block is given a speed vA when it is at A, and it slides down the incline having a coefficient of kinetic friction mk = 0.2. If i

Engineering Mechanics: Statics & Dynamics 14
If the track is to be designed so that the passengers of the roller coaster do not experience a normal force equal to zero or more than 4 times their weight, determine the limiting heights hA and hC so that this does not occur. The roller coaster starts from rest at position A. Neglect friction.

Engineering Mechanics: Statics & Dynamics 14
If the 60-kg skier passes point A with a speed of 5 m>s, determine his speed when he reaches point B. Also find the normal force exerted on him by the slope at this point. Neglect friction

Engineering Mechanics: Statics & Dynamics 14
If the 75-kg crate starts from rest at A, determine its speed when it reaches point B. The cable is subjected to a constant force of F = 300 N. Neglect friction and the size of the pulley

Engineering Mechanics: Statics & Dynamics 14
If the 75-kg crate starts from rest at A, and its speed is 6 m>s when it passes point B, determine the constant force F exerted on the cable. Neglect friction and the size of the pulley

Engineering Mechanics: Statics & Dynamics 14
A 2-lb block rests on the smooth semicylindrical surface. An elastic cord having a stiffness k = 2 lb>ft is attached to the block at B and to the base of the semicylinder at point C. If the block is released from rest at A (u = 0), determine the unstretched length of the cord so the block begins to

Engineering Mechanics: Statics & Dynamics 14
The jeep has a weight of 2500 lb and an engine which transmits a power of 100 hp to all the wheels. Assuming the wheels do not slip on the ground, determine the angle u of the largest incline the jeep can climb at a constant speed v = 30 ft>s.

Engineering Mechanics: Statics & Dynamics 14
Determine the power input for a motor necessary to lift 300 lb at a constant rate of 5 ft>s. The efficiency of the motor is e = 0.65.

Engineering Mechanics: Statics & Dynamics 14
An automobile having a mass of 2 Mg travels up a 7 slope at a constant speed of v = 100 km>h. If mechanical friction and wind resistance are neglected, determine the power developed by the engine if the automobile has an efficiency e = 0.65.

Engineering Mechanics: Statics & Dynamics 14
The Milkin Aircraft Co. manufactures a turbojet engine that is placed in a plane having a weight of 13000 lb. If the engine develops a constant thrust of 5200 lb, determine the power output of the plane when it is just ready to take off with a speed of 600 mi>h.

Engineering Mechanics: Statics & Dynamics 14
To dramatize the loss of energy in an automobile, consider a car having a weight of 5000 lb that is traveling at 35 mi>h. If the car is brought to a stop, determine how long a 100-W light bulb must burn to expend the same amount of energy. (1 mi = 5280 ft.)

Engineering Mechanics: Statics & Dynamics 14
Escalator steps move with a constant speed of 0.6 m>s. If the steps are 125 mm high and 250 mm in length, determine the power of a motor needed to lift an average mass of 150 kg per step. There are 32 steps

Engineering Mechanics: Statics & Dynamics 14
The man having the weight of 150 lb is able to run up a 15-ft-high flight of stairs in 4 s. Determine the power generated. How long would a 100-W light bulb have to burn to expend the same amount of energy? Conclusion: Please turn off the lights when they are not in use!

Engineering Mechanics: Statics & Dynamics 14
The 2-Mg car increases its speed uniformly from rest to 25 m>s in 30 s up the inclined road. Determine the maximum power that must be supplied by the engine, which operates with an efficiency of e = 0.8. Also, find the average power supplied by the engine.

Engineering Mechanics: Statics & Dynamics 14
Determine the power output of the draw-works motor M necessary to lift the 600-lb drill pipe upward with a constant speed of 4 ft>s. The cable is tied to the top of the oil rig, wraps around the lower pulley, then around the top pulley, and then to the motor.

Engineering Mechanics: Statics & Dynamics 14
The 1000-lb elevator is hoisted by the pulley system and motor M. If the motor exerts a constant force of 500 lb on the cable, determine the power that must be supplied to the motor at the instant the load has been hoisted s = 15 ft starting from rest. The motor has an efficiency of e = 0.65.

Engineering Mechanics: Statics & Dynamics 14
The 50-lb crate is given a speed of 10 ft>s in t = 4 s starting from rest. If the acceleration is constant, determine the power that must be supplied to the motor when t = 2 s. The motor has an efficiency e = 0.65. Neglect the mass of the pulley and cable.

Engineering Mechanics: Statics & Dynamics 14
The sports car has a mass of 2.3 Mg, and while it is traveling at 28 m>s the driver causes it to accelerate at 5 m>s 2 . If the drag resistance on the car due to the wind is FD = (0.3v2) N, where v is the velocity in m>s, determine the power supplied to the engine at this instant. The engine has a ru

Engineering Mechanics: Statics & Dynamics 14
The sports car has a mass of 2.3 Mg and accelerates at 6 m>s 2 , starting from rest. If the drag resistance on the car due to the wind is FD = (10v) N, where v is the velocity in m>s, determine the power supplied to the engine when t = 5 s. The engine has a running efficiency of e = 0.68.

Engineering Mechanics: Statics & Dynamics 14
The elevator E and its freight have a total mass of 400 kg. Hoisting is provided by the motor M and the 60-kg block C. If the motor has an efficiency of e = 0.6, determine the power that must be supplied to the motor when the elevator is hoisted upward at a constant speed of vE = 4 m>s.

Engineering Mechanics: Statics & Dynamics 14
The 10-lb collar starts from rest at A and is lifted by applying a constant vertical force of F = 25 lb to the cord. If the rod is smooth, determine the power developed by the force at the instant u = 60

Engineering Mechanics: Statics & Dynamics 14
The 10-lb collar starts from rest at A and is lifted with a constant speed of 2 ft>s along the smooth rod. Determine the power developed by the force F at the instant shown.

Engineering Mechanics: Statics & Dynamics 14
The 50-lb block rests on the rough surface for which the coefficient of kinetic friction is mk = 0.2. A force F = (40 + s 2 ) lb, where s is in ft, acts on the block in the direction shown. If the spring is originally unstretched (s = 0) and the block is at rest, determine the power developed by the

Engineering Mechanics: Statics & Dynamics 14
The escalator steps move with a constant speed of 0.6 m>s. If the steps are 125 mm high and 250 mm in length, determine the power of a motor needed to lift an average mass of 150 kg per step. There are 32 steps.

Engineering Mechanics: Statics & Dynamics 14
If the escalator in Prob. 1446 is not moving, determine the constant speed at which a man having a mass of 80 kg must walk up the steps to generate 100 W of powerthe same amount that is needed to power a standard light bulb

Engineering Mechanics: Statics & Dynamics 14
If the jet on the dragster supplies a constant thrust of T = 20 kN, determine the power generated by the jet as a function of time. Neglect drag and rolling resistance, and the loss of fuel. The dragster has a mass of 1 Mg and starts from rest.

Engineering Mechanics: Statics & Dynamics 14
An athlete pushes against an exercise machine with a force that varies with time as shown in the first graph. Also, the velocity of the athletes arm acting in the same direction as the force varies with time as shown in the second graph. Determine the power applied as a function of time and the work

Engineering Mechanics: Statics & Dynamics 14
An athlete pushes against an exercise machine with a force that varies with time as shown in the first graph. Also, the velocity of the athletes arm acting in the same direction as the force varies with time as shown in the second graph. Determine the maximum power developed during the 0.3-second tim

Engineering Mechanics: Statics & Dynamics 14
The block has a weight of 80 lb and rests on the floor for which mk = 0.4. If the motor draws in the cable at a constant rate of 6 ft>s, determine the output of the motor at the instant u = 30. Neglect the mass of the cable and pulleys.

Engineering Mechanics: Statics & Dynamics 14
The block has a mass of 150 kg and rests on a surface for which the coefficients of static and kinetic friction are ms = 0.5 and mk = 0.4, respectively. If a force F = (60t 2 ) N, where t is in seconds, is applied to the cable, determine the power developed by the force when t = 5 s. Hint: First dete

Engineering Mechanics: Statics & Dynamics 14
The girl has a mass of 40 kg and center of mass at G. If she is swinging to a maximum height defined by u = 60, determine the force developed along each of the four supporting posts such as AB at the instant u = 0. The swing is centrally located between the posts.

Engineering Mechanics: Statics & Dynamics 14
The 30-lb block A is placed on top of two nested springs B and C and then pushed down to the position shown. If it is then released, determine the maximum height h to which it will rise

Engineering Mechanics: Statics & Dynamics 14
The 5-kg collar has a velocity of 5 m>s to the right when it is at A. It then travels down along the smooth guide. Determine the speed of the collar when it reaches point B, which is located just before the end of the curved portion of the rod. The spring has an unstretched length of 100 mm and B is

Engineering Mechanics: Statics & Dynamics 14
The 5-kg collar has a velocity of 5 m>s to the right when it is at A. It then travels along the smooth guide. Determine its speed when its center reaches point B and the normal force it exerts on the rod at this point. The spring has an unstretched length of 100 mm and B is located just before the en

Engineering Mechanics: Statics & Dynamics 14
The ball has a weight of 15 lb and is fixed to a rod having a negligible mass. If it is released from rest when u = 0, determine the angle u at which the compressive force in the rod becomes zero.

Engineering Mechanics: Statics & Dynamics 14
The car C and its contents have a weight of 600 lb, whereas block B has a weight of 200 lb. If the car is released from rest, determine its speed when it travels 30 ft down the 20 incline. Suggestion: To measure the gravitational potential energy, establish separate datums at the initial elevations o

Engineering Mechanics: Statics & Dynamics 14
The roller coaster car has a mass of 700 kg, including its passenger. If it starts from the top of the hill A with a speed vA = 3 m>s, determine the minimum height h of the hill crest so that the car travels around the inside loops without leaving the track. Neglect friction, the mass of the wheels,

Engineering Mechanics: Statics & Dynamics 14
The roller coaster car has a mass of 700 kg, including its passenger. If it is released from rest at the top of the hill A, determine the minimum height h of the hill crest so that the car travels around both inside the loops without leaving the track. Neglect friction, the mass of the wheels, and th

Engineering Mechanics: Statics & Dynamics 14
The assembly consists of two blocks A and B which have a mass of 20 kg and 30 kg, respectively. Determine the speed of each block when B descends 1.5 m. The blocks are released from rest. Neglect the mass of the pulleys and cords.

Engineering Mechanics: Statics & Dynamics 14
The assembly consists of two blocks A and B, which have a mass of 20 kg and 30 kg, respectively. Determine the distance B must descend in order for A to achieve a speed of 3 m>s starting from rest.

Engineering Mechanics: Statics & Dynamics 14
The spring has a stiffness k = 50 N>m and an unstretched length of 0.3 m. If it is attached to the 2-kg smooth collar and the collar is released from rest at A (u = 0), determine the speed of the collar when u = 60. The motion occurs in the horizontal plane. Neglect the size of the collar.

Engineering Mechanics: Statics & Dynamics 14
The roller coaster car having a mass m is released from rest at point A. If the track is to be designed so that the car does not leave it at B, determine the required height h. Also, find the speed of the car when it reaches point C. Neglect friction

Engineering Mechanics: Statics & Dynamics 14
The spring has a stiffness k = 200 N>m and an unstretched length of 0.5 m. If it is attached to the 3-kg smooth collar and the collar is released from rest at A, determine the speed of the collar when it reaches B. Neglect the size of the collar.

Engineering Mechanics: Statics & Dynamics 14
A 2-lb block rests on the smooth semicylindrical surface at A. An elastic cord having a stiffness of k = 2 lb>ft is attached to the block at B and to the base of the semicylinder at C. If the block is released from rest at u = 0, A, determine the longest unstretched length of the cord so the block be

Engineering Mechanics: Statics & Dynamics 14
When s = 0, the spring on the firing mechanism is unstretched. If the arm is pulled back such that s = 100 mm and released, determine the speed of the 0.3-kg ball and the normal reaction of the circular track on the ball when u = 60. Assume all surfaces of contact to be smooth. Neglect the mass of t

Engineering Mechanics: Statics & Dynamics 14
When s = 0, the spring on the firing mechanism is unstretched. If the arm is pulled back such that s = 100 mm and released, determine the maximum angle u the ball will travel without leaving the circular track. Assume all surfaces of contact to be smooth. Neglect the mass of the spring and the size o

Engineering Mechanics: Statics & Dynamics 14
If the mass of the earth is Me, show that the gravitational potential energy of a body of mass m located a distance r from the center of the earth is Vg = -GMem>r. Recall that the gravitational force acting between the earth and the body is F = G(Mem>r 2), Eq. 131. For the calculation, locate the dat

Engineering Mechanics: Statics & Dynamics 14
A rocket of mass m is fired vertically from the surface of the earth, i.e., at r = r1. Assuming that no mass is lost as it travels upward, determine the work it must do against gravity to reach a distance r2. The force of gravity is F = GMem>r 2 (Eq. 131), where Me is the mass of the earth and r the

Engineering Mechanics: Statics & Dynamics 14
The 4-kg smooth collar has a speed of 3 m>s when it is at s = 0. Determine the maximum distance s it travels before it stops momentarily. The spring has an unstretched length of 1 m.

Engineering Mechanics: Statics & Dynamics 14
A 60-kg satellite travels in free flight along an elliptical orbit such that at A, where rA = 20 Mm, it has a speed vA = 40 Mm>h. What is the speed of the satellite when it reaches point B, where rB = 80 Mm? Hint: See Prob. 1482, where Me = 5.976(1024) kg and G = 66.73(10-12) m3>(kg # s 2 ).

Engineering Mechanics: Statics & Dynamics 14
The skier starts from rest at A and travels down the ramp. If friction and air resistance can be neglected, determine his speed vB when he reaches B. Also, compute the distance s to where he strikes the ground at C, if he makes the jump traveling horizontally at B. Neglect the skiers size. He has a m

Engineering Mechanics: Statics & Dynamics 14
The block has a mass of 20 kg and is released from rest when s = 0.5 m. If the mass of the bumpers A and B can be neglected, determine the maximum deformation of each spring due to the collision.

Engineering Mechanics: Statics & Dynamics 14
The 2-lb collar has a speed of 5 ft>s at A. The attached spring has an unstretched length of 2 ft and a stiffness of k = 10 lb>ft. If the collar moves over the smooth rod, determine its speed when it reaches point B, the normal force of the rod on the collar, and the rate of decrease in its speed.

Engineering Mechanics: Statics & Dynamics 14
When the 6-kg box reaches point A it has a speed of vA = 2 m>s. Determine the angle u at which it leaves the smooth circular ramp and the distance s to where it falls into the cart. Neglect friction.

Engineering Mechanics: Statics & Dynamics 14
When the 5-kg box reaches point A it has a speed vA = 10 m>s. Determine the normal force the box exerts on the surface when it reaches point B. Neglect friction and the size of the box.

Engineering Mechanics: Statics & Dynamics 14
When the 5-kg box reaches point A it has a speed vA = 10 m>s. Determine how high the box reaches up the surface before it comes to a stop. Also, what is the resultant normal force on the surface at this point and the acceleration? Neglect friction and the size of the box.

Engineering Mechanics: Statics & Dynamics 14
The roller coaster car has a speed of 15 ft>s when it is at the crest of a vertical parabolic track. Determine the cars velocity and the normal force it exerts on the track when it reaches point B. Neglect friction and the mass of the wheels. The total weight of the car and the passengers is 350 lb.

Engineering Mechanics: Statics & Dynamics 14
The 10-kg sphere C is released from rest when u = 0 and the tension in the spring is 100 N. Determine the speed of the sphere at the instant u = 90. Neglect the mass of rod AB and the size of the sphere.

Engineering Mechanics: Statics & Dynamics 14
A quarter-circular tube AB of mean radius r contains a smooth chain that has a mass per unit length of m0. If the chain is released from rest from the position shown, determine its speed when it emerges completely from the tube

Engineering Mechanics: Statics & Dynamics 14
The cylinder has a mass of 20 kg and is released from rest when h = 0. Determine its speed when h = 3 m. Each spring has a stiffness k = 40 N>m and an unstretched length of 2 m.

Engineering Mechanics: Statics & Dynamics 14
If the 20-kg cylinder is released from rest at h = 0, determine the required stiffness k of each spring so that its motion is arrested or stops when h = 0.5 m. Each spring has an unstretched length of 1 m.

Engineering Mechanics: Statics & Dynamics 14
A pan of negligible mass is attached to two identical springs of stiffness k = 250 N>m. If a 10-kg box is dropped from a height of 0.5 m above the pan, determine the maximum vertical displacement d. Initially each spring has a tension of 50 N.