Engineering Mechanics: Dynamics 13th Edition solutions

Engineering Mechanics: Dynamics 13
The motor winds in the cable with a constant acceleration, such that the 20-kg crate moves a distance s = 6 m in 3 s. starting from rest. Determine the tension developed in the cable. The coefficient of kinetic friction between the crate and the plane is \(\mu_{k}\) = 0.3.

Engineering Mechanics: Dynamics 13
F15-7. The freight cars /\ and B have a mass of 20 Mg and 15 Mg. respectively. Determine the velocity of A after collision if the cars collide and rebound, such that B moves to the right with a speed of 2 m/s. If A and B arc in contact for 0.5 s, find the average impulsive force which acts between th

Engineering Mechanics: Dynamics 13
F14-1. The spring is placed between the wall and the 10-kg block. If the block is subjected to a force of F = 500 N. determine its velocity when s = 0.5 m. When 5 = 0, the block is at rest and the spring is uncompressed. The contact surface is smooth.

Engineering Mechanics: Dynamics 13
F13-5. The spring has a stiffness k = 200 N/m and is unstretched when the 25-kg block is at A. Determine the acceleration of the block when s = 0.4 m. The contact surface between the block and the plane is smooth.

Engineering Mechanics: Dynamics 13
F12-26. A projectile is fired with an initial velocity of vA = 150 m/s off the roof of the building. Determine the range R where it strikes the ground at B.

Engineering Mechanics: Dynamics 13
14-21. The steel ingot has a mass of 1800 kg. It travels along the conveyor at a speed v = 0.5 m/s when it collides with the nested spring assembly. If the stiffness of the outer spring is ^ = 5kN/m, determine the required stiffness kB of the inner spring so that the motion of the ingot is stopped at

Engineering Mechanics: Dynamics 13
F12-44. Determine the velocity of cylinder B if cylinder A moves downward with a speed of vA = 4 ft/s.

Engineering Mechanics: Dynamics 13
The 0.5-kg ball strikes the rough ground and rebounds with the velocities shown. Determine the magnitude of the impulse the ground exerts on the ball. Assume that the ball does not slip when it strikes the ground, and neglect the size of the ball and the impulse produced by the weight of the ball.

Engineering Mechanics: Dynamics 13
*17-32. The mountain bike has a mass of 40 kg with center of mass at point G\, while the rider has a mass of 60 kg with center of mass at point G2. Determine the maximum deceleration when the brake is applied to the front wheel, without causing the rear wheel B to leave the road. Assume that the fron

Engineering Mechanics: Dynamics 13
The motorcycle has a mass of \(0.5 \mathrm{Mg}\) and a negligible size. It passes point A traveling with a speed of \(15 \mathrm{~m} / \mathrm{s}\), which is increasing at a constant rate of \(1.5 \mathrm{~m} / \mathrm{s}^{2}\).Determine the resultant frictional force exerted by the road on the tires

Engineering Mechanics: Dynamics 13
The skier starts from rest at \(A(10 \mathrm{~m}, 0)\) and descends the smooth slope, which may be approximated by a parabola. If she has a mass of \(52 \mathrm{~kg}\), determine the normal force the ground exerts on the skier at the instant she arrives at point \(B\). Neglect the size of the skier.

Engineering Mechanics: Dynamics 13
17-46. Determine the shortest time possible for the rear-wheel drive. 2-Mg truck to achieve a speed of 16 m/s with a constant acceleration starting from rest. The coefficient of static friction between the wheels and the road surface is fis = 0.8.The front wheels arc free to roll. Neglect the mass of

Engineering Mechanics: Dynamics 13
17-33. The mountain bike has a mass of 40 kg with center of mass at point Gj, while the rider has a mass of 60 kg with center of mass at point G2. When the brake is applied to the front wheel, it causes the bike to decelerate at a constant rate of 3 m/s2. Determine the normal reaction the road exerts

Engineering Mechanics: Dynamics 13
FI 3-8. Determine the maximum speed that the jeep can travel over the crest of the hill and not lose contact with the road.

Engineering Mechanics: Dynamics 13
FI 2-30. When x = 10 ft, the crate has a speed of 20 ft/s which is increasing at 6 ft/s2. Determine the direction of the crate's velocity and the magnitude of the crates acceleration at this instant.

Engineering Mechanics: Dynamics 13
F12-31. If the motorcycle has a deceleration of a, = (0.001 s) m/s2 and its speed at position A is 25 m/s, determine the magnitude of its acceleration when it passes point B.

Engineering Mechanics: Dynamics 13
13-75. Bobs A and B of mass mA and mB (mA > mB) are connected to an inextensible light string of length / that passes through the smooth ring at C. If bob B moves as a conical pendulum such that A is suspended a distance of U from C. determine the angle 0 and the speed of bob B. Neglect the size of b

Engineering Mechanics: Dynamics 13
F12-29. If the car decelerates uniformly along the curved road from 25 m/s at T to 15 m/s at C, determine the acceleration of the car at B.

Engineering Mechanics: Dynamics 13
F12-33. The car has a speed of 55 ft/s. Determine the angular velocity 0 of the radial line OA at this instant.

Engineering Mechanics: Dynamics 13
F14-5. When s = 0.6 m, the spring is unstretched and the 10-kg block has a speed of 5 m/s down the smooth plane. Determine the distance s when the block stops.