- 19.19.1: Determine the maximum velocity and maximum acceleration of a partic...
- 19.19.2: A particle moves in simple harmonic motion. Knowing that the amplit...
- 19.19.3: Determine the amplitude and maximum velocity of a particle which mo...
- 19.19.4: A 32-kg block is attached to a spring and can move without friction...
- 19.19.5: A 13-kg block is supported by the spring shown. If the block is mov...
- 19.19.6: An instrument package A is bolted to a shaker table as shown. The t...
- 19.19.7: A simple pendulum consisting of a bob attached to a cord oscillates...
- 19.19.8: A simple pendulum consisting of a bob attached to a cord of length ...
- 19.19.9: An instrument package B is placed on the shaking table C as shown. ...
- 19.19.10: A 5-kg fragile glass vase is surrounded by packing material in a ca...
- 19.19.11: A 3-lb block is supported as shown by a spring of constant k 5 2 lb...
- 19.19.12: In Prob. 19.11, determine the position, velocity, and acceleration ...
- 19.19.13: The bob of a simple pendulum of length l 5 40 in. is released from ...
- 19.19.14: A 150-kg electromagnet is at rest and is holding 100 kg of scrap st...
- 19.19.15: A variable-speed motor is rigidly attached to beam BC. The rotor is...
- 19.19.16: A small bob is attached to a cord of length 1.2 m and is released f...
- 19.19.17: A 5-kg block, attached to the lower end of a spring whose upper end...
- 19.19.18: A 75-lb block is supported by the spring arrangement shown. The blo...
- 19.19.19: A 75-lb block is supported by the spring arrangement shown. The blo...
- 19.19.20: A 13.6-kg block is supported by the spring arrangement shown. If th...
- 19.19.21: An 11-lb block, attached to the lower end of a spring whose upper e...
- 19.19.22: Block A of mass m is supported by the spring arrangement as shown. ...
- 19.19.23: The period of vibration of the system shown is observed to be 0.2 s...
- 19.19.24: The period of vibration of the system shown is observed to be 0.8 s...
- 19.19.25: The 100-lb platform A is attached to springs B and D, each of which...
- 19.19.26: The period of vibration for a barrel floating in salt water is foun...
- 19.19.27: From mechanics of materials it is known that for a cantilever beam ...
- 19.19.28: From mechanics of materials it is known that when a static load P i...
- 19.19.29: Denoting by dst the static deflection of a beam under a given load,...
- 19.19.30: A 40-mm deflection of the second floor of a building is measured di...
- 19.19.31: If h 5 700 mm and d 5 500 mm and each spring has a constant k 5 600...
- 19.19.32: The force-deflection equation for a nonlinear spring fixed at one e...
- 19.19.33: Expanding the integrand in Eq. (19.19) of Sec. 19.4 into a series o...
- 19.19.34: Using the formula given in Prob. 19.33, determine the amplitude um ...
- 19.19.35: Using the data of Table 19.1, determine the period of a simple pend...
- 19.19.36: Using the data of Table 19.1, determine the length in inches of a s...
- 19.19.37: The uniform rod shown has mass 6 kg and is attached to a spring of ...
- 19.19.38: A belt is placed around the rim of a 500-lb flywheel and attached a...
- 19.19.39: An 8-kg uniform rod AB is hinged to a fixed support at A and is att...
- 19.19.40: Solve Prob. 19.39, assuming that pin C is removed and that the disk...
- 19.19.41: A 15-lb slender rod AB is riveted to a 12-lb uniform disk as shown....
- 19.19.42: A 30-lb uniform cylinder can roll without sliding on a 15 incline. ...
- 19.19.43: A square plate of mass m is held by eight springs, each of constant...
- 19.19.44: Two small weights w are attached at A and B to the rim of a uniform...
- 19.19.45: Two 40-g weights are attached at A and B to the rim of a 1.5-kg uni...
- 19.19.46: A three-blade wind turbine used for research is supported on a shaf...
- 19.19.47: A connecting rod is supported by a knife-edge at point A; the perio...
- 19.19.48: A 75-mm-radius hole is cut in a 200-mm-radius uniform disk which is...
- 19.19.49: A uniform disk of radius r 5 250 mm is attached at A to a 650-mm ro...
- 19.19.50: A small collar of mass 1 kg is rigidly attached to a 3-kg uniform r...
- 19.19.51: For the uniform square plate of side b 5 12 in., determine (a) the ...
- 19.19.52: A compound pendulum is defined as a rigid slab which oscillates abo...
- 19.19.53: A rigid slab oscillates about a fixed point O. Show that the smalle...
- 19.19.54: Show that if the compound pendulum of Prob. 19.52 is suspended from...
- 19.19.55: The 8-kg uniform bar AB is hinged at C and is attached at A to a sp...
- 19.19.56: Two uniform rods, each of mass m 5 12 kg and length L 5 800 mm, are...
- 19.19.57: A 45-lb uniform square plate is suspended from a pin located at the...
- 19.19.58: A 1300-kg sports car has a center of gravity G located a distance h...
- 19.19.59: A 6-lb slender rod is suspended from a steel wire which is known to...
- 19.19.60: A uniform disk of radius r 5 250 mm is attached at A to a 650-mm ro...
- 19.19.61: Two uniform rods, each of mass m and length l, are welded together ...
- 19.19.62: A homogeneous wire bent to form the figure shown is attached to a p...
- 19.19.63: A horizontal platform P is held by several rigid bars which are con...
- 19.19.64: A uniform disk of radius r 5 120 mm is welded at its center to two ...
- 19.19.65: A 5-kg uniform rod CD of length l 5 0.7 m is welded at C to two ela...
- 19.19.66: A 1.8-kg uniform plate in the shape of an equilateral triangle is s...
- 19.19.67: A period of 6.00 s is observed for the angular oscillations of a 4-...
- 19.19.68: The centroidal radius of gyration ky of an airplane is determined b...
- 19.19.69: A 1.8-kg collar A is attached to a spring of constant 800 N/m and c...
- 19.19.70: Two blocks, each of weight 3 lb, are attached to links which are pi...
- 19.19.71: A 14-oz sphere A and a 10-oz sphere C are attached to the ends of a...
- 19.19.72: Determine the period of small oscillations of a small particle whic...
- 19.19.73: The inner rim of an 85-lb flywheel is placed on a knife edge, and t...
- 19.19.74: A connecting rod is supported by a knife edge at point A; the perio...
- 19.19.75: A uniform rod AB can rotate in a vertical plane about a horizontal ...
- 19.19.76: A homogeneous wire of length 2l is bent as shown and allowed to osc...
- 19.19.77: A uniform disk of radius r and mass m can roll without slipping on ...
- 19.19.78: Two uniform rods, each of weight W 5 1.2 lb and length l 5 8 in., a...
- 19.19.79: A 15-lb uniform cylinder can roll without sliding on an incline and...
- 19.19.80: A 3-kg slender rod AB is bolted to a 5-kg uniform disk. A spring of...
- 19.19.81: A slender rod AB of mass m and length l is connected to two collars...
- 19.19.82: A slender rod AB of mass m and length l is connected to two collars...
- 19.19.83: An 800-g rod AB is bolted to a 1.2-kg disk. A spring of constant k ...
- 19.19.84: Three identical rods are connected as shown. If b 5 3 4 l, determin...
- 19.19.85: A 14-oz sphere A and a 10-oz sphere C are attached to the ends of a...
- 19.19.86: A 10-lb uniform rod CD is welded at C to a shaft of negligible mass...
- 19.19.87: Two uniform rods AB and CD, each of length l and mass m, are attach...
- 19.19.88: Two uniform rods AB and CD, each of length l and mass m, are attach...
- 19.19.89: An inverted pendulum consisting of a rigid bar ABC of length l and ...
- 19.19.90: Two 12-lb uniform disks are attached to the 20-lb rod AB as shown. ...
- 19.19.91: The 20-lb rod AB is attached to two 8-lb disks as shown. Knowing th...
- 19.19.92: A half section of a uniform cylinder of radius r and mass m rests o...
- 19.19.93: The motion of the uniform rod AB is guided by the cord BC and by th...
- 19.19.94: A uniform rod of length L is supported by a ball-and-socket joint a...
- 19.19.95: A section of uniform pipe is suspended from two vertical cables att...
- 19.19.96: A 0.6-kg uniform arm ABC is supported by a pin at B and is attached...
- 19.19.97: A thin plate of length l rests on a half cylinder of radius r. Deri...
- 19.19.98: As a submerged body moves through a fluid, the particles of the flu...
- 19.19.99: A 20-kg block is attached to a spring of constant k 5 8 kN/m and ca...
- 19.19.100: A 20-kg block is attached to a spring of constant k 5 8 kN/m and ca...
- 19.19.101: A 9-lb collar can slide on a frictionless horizontal rod and is att...
- 19.19.102: A collar of mass m which slides on a frictionless horizontal rod is...
- 19.19.103: A small 20-kg block A is attached to the rod BC of negligible mass ...
- 19.19.104: An 8-kg uniform disk of radius 200 mm is welded to a vertical shaft...
- 19.19.105: An 18-lb block A slides in a vertical frictionless slot and is conn...
- 19.19.106: A cantilever beam AB supports a block which causes a static deflect...
- 19.19.107: Rod AB is rigidly attached to the frame of a motor running at a con...
- 19.19.108: The crude-oil-pumping rig shown is driven at 20 rpm. The inside dia...
- 19.19.109: A simple pendulum of length l is suspended from collar C which is f...
- 19.19.110: The 2.75-lb bob of a simple pendulum of length l 5 24 in. is suspen...
- 19.19.111: An 18-lb block A slides in a vertical frictionless slot and is conn...
- 19.19.112: A variable-speed motor is rigidly attached to a beam BC. When the s...
- 19.19.113: A motor of mass M is supported by springs with an equivalent spring...
- 19.19.114: As the rotational speed of a spring-supported 100-kg motor is incre...
- 19.19.115: A motor of weight 40 lb is supported by four springs, each of const...
- 19.19.116: A motor weighing 400 lb is supported by springs having a total cons...
- 19.19.117: A 180-kg motor is bolted to a light horizontal beam. The unbalance ...
- 19.19.118: The unbalance of the rotor of a 400-lb motor is equivalent to a 3-o...
- 19.19.119: A counter-rotating eccentric mass exciter consisting of two rotatin...
- 19.19.120: A 360-lb motor is supported by springs of total constant 12.5 kips/...
- 19.19.121: Figures (1) and (2) show how springs can be used to support a block...
- 19.19.122: A vibrometer used to measure the amplitude of vibrations consists e...
- 19.19.123: A certain accelerometer consists essentially of a box containing a ...
- 19.19.124: Block A can move without friction in the slot as shown and is acted...
- 19.19.125: A 60-lb disk is attached with an eccentricity e 5 0.006 in. to the ...
- 19.19.126: A small trailer and its load have a total mass of 250 kg. The trail...
- 19.19.127: Show that in the case of heavy damping (c . cc), a body never passe...
- 19.19.128: Show that in the case of heavy damping (c . cc), a body released fr...
- 19.19.129: In the case of light damping, the displacements x1, x2, x3, shown i...
- 19.19.130: In practice, it is often difficult to determine the logarithmic dec...
- 19.19.131: In a system with light damping (c , cc), the period of vibration is...
- 19.19.132: A loaded railroad car weighing 30,000 lb is rolling at a constant v...
- 19.19.133: A torsional pendulum has a centroidal mass moment of inertia of 0.3...
- 19.19.134: The barrel of a field gun weighs 1500 lb and is returned into firin...
- 19.19.135: A platform of weight 200 lb, supported by two springs each of const...
- 19.19.136: A 4-kg block A is dropped from a height of 800 mm onto a 9-kg block...
- 19.19.137: A 3-kg slender rod AB is bolted to a 5-kg uniform disk. A dashpot o...
- 19.19.138: A uniform rod of mass m is supported by a pin at A and a spring of ...
- 19.19.139: A machine element weighing 800 lb is supported by two springs, each...
- 19.19.140: In Prob. 19.139, determine the required value of the coefficient of...
- 19.19.141: In the case of the forced vibration of a system, determine the rang...
- 19.19.142: Show that for a small value of the damping factor c/cc, the maximum...
- 19.19.143: A counter-rotating eccentric mass exciter consisting of two rotatin...
- 19.19.144: A 15-kg motor is supported by four springs, each of constant 40 kN/...
- 19.19.145: A 220-lb motor is supported by four springs, each of constant 500 l...
- 19.19.146: A 100-lb motor is directly supported by a light horizontal beam whi...
- 19.19.147: A machine element is supported by springs and is connected to a das...
- 19.19.148: A 91-kg machine element supported by four springs, each of constant...
- 19.19.149: A simplified model of a washing machine is shown. A bundle of wet c...
- 19.19.150: For a steady-state vibration with damping under a harmonic force, s...
- 19.19.151: The suspension of an automobile can be approximated by the simplifi...
- 19.19.152: Two blocks A and B, each of mass m, are supported as shown by three...
- 19.19.153: Express in terms of L, C, and E the range of values of the resistan...
- 19.19.154: Consider the circuit of Prob. 19.153 when the capacitor C is remove...
- 19.19.155: Draw the electrical analogue of the mechanical system shown. (Hint:...
- 19.19.156: Draw the electrical analogue of the mechanical system shown. (Hint:...
- 19.19.157: Write the differential equations defining (a) the displacements of ...
- 19.19.158: Write the differential equations defining (a) the displacements of ...
- 19.19.159: An automobile wheel-and-tire assembly of total weight 47 lb is atta...
- 19.19.160: The period of vibration of the system shown is observed to be 0.6 s...
- 19.19.161: Disks A and B weigh 30 lb and 12 lb, respectively, and a small 5-lb...
- 19.19.162: For the uniform equilateral triangular plate of side Review l 5 300...
- 19.19.163: An 0.8-lb ball is connected to a paddle by means of an elastic cord...
- 19.19.164: The block shown is depressed 1.2 in. from its equilibrium position ...
- 19.19.165: A 4-lb uniform rod is supported by a pin at O and a spring at A and...
- 19.19.166: A 400-kg motor supported by four springs, each of constant 150 kN/m...
- 19.19.167: The compressor shown has a mass of 250 kg and operates at 2000 rpm....
- 19.19.168: A small ball of mass m attached at the midpoint of a tightly stretc...
- 19.19.169: A certain vibrometer used to measure vibration amplitudes consists ...
- 19.19.170: If either a simple or a compound pendulum is used to determine expe...

# Solutions for Chapter 19: Vector Mechanics for Engineers: Dynamics 10th Edition

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ISBN: 9780073398136

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