PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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This is a dynamics problem
The pile P has a mass of 800 kg and is being driven into loose sand using the 300-kg hammer C which is dropped
a distance of 0.5 m from the top of the pile. Determine the distance the pile is driven into the sand after one
blow if the sand offers a frictional resistance against the pile of 18 kN. The coefficient of restitution between the
hammer and the pile is e-0.1. Neglect the impulses due to the weights of the pile and hammer and the impulse
due to the sand during the impact.
0.5m
Copyrig
3,163364
Determine the maximum compression of the spring after the collision.
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- The two bodies have the masses and initial velocities shown in the figure. The coefficient of restitution for the collision is e = 0.58, and friction is negligible. If the time duration of the collision is 0.015 s, determine the magnitude of the average impact force which is exerted on the 4.5-kg body. 0.41 m/s 0.51 m/s 4.5 kg 5.6 kg Answer: Fave* i Narrow_forwardThe 6-lb slider is released from rest at position 1 and slides with negligible friction in a vertical plane along the circular rod. The attached spring has a stiffness of 2 lb/in, and has an unstretched length of 24 in. Determine the velocity of the slider as it passes position 2.arrow_forwardThe 50-kg block at A is mounted on rollers so that it moves along the fixed horizontal rail with negligible friction under the action of the constant 300-N force in the cable. The block is released from rest at A, with the spring to which it is attached extended an initial amount x1 = 0.233 m. The spring has a stiffness k = 80 N/m. Calculate the velocity v of the block as it reaches position B.arrow_forward
- The three balls each weigh 0.4 lb and have a coefficient of restitution of e = 0.75. If ball A is released from rest and strikes ball B and then ball B strikes ball C, determine the velocity of each ball after the second collision has occurred. The balls slide without friction. Please explain the stepsarrow_forwardDisk A and B have a mass if 6kg and 4kg respectively. They are sliding down on the smooth hoeizontal plane with the velocities shown. the coefficient of the restitution is 0.6. a. Determine the angle between velocity of A and the line of impact after collision b. Determine the angle between velocity of B and line of impact after collisionarrow_forward4. The 12-kg package A has a speed of 2.5 m/s when it enters the smooth ramp. As it slides down the ramp, it strikes the 34-kg package B which is initially at rest. If the coefficient of restitution between A and Bis = 0.65, determine the velocity of B just after the impact.arrow_forward
- The 1580-kg car has a velocity of 25 km/h up the 11-percent grade when the driver applies more power for 12 s to bring the car up to a speed of 62 km/h. Calculate the time average F of the total force tangent to the road exerted on the tires during the 12 s. Treat the car as a particle and neglect air resistance. 11 100 Answer: F = i kNarrow_forwardThe 0.31-kg mass slides on a frictionless wire that lies in the vertical plane. The spring attached to the mass has a free length of 80 mm and stiffness of 0.13 N/mm. Calculate the smallest value of the distance b so that the mass will reach the end of the wire at B after being released from rest at A.arrow_forwardThe 2.5-kg collar is released from rest at A and slides down the inclined foxed rod in the vertical plane. The coefficient of kinetic friction is 0.61. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection of the spring 2.5 kg -0.61 Answers: 65 9- 65 0.62 m k-1.4 kN/m m/arrow_forward
- The spring has an unstretched length of 0.37 m and a stiffness of 121 N/m. The 2.5-kg slider and attached spring are released from rest at A and move in the vertical plane. Calculate the velocity v of the slider as it reaches B in the absence of friction. 0.80 m 0.64 m Anwer: v = i m/s Save for Later Attempts: unlimited Submit Answer wwarrow_forwardBodies A and B are connected by a flexible cable as shown in the picture below. The weights of bodies A and Bare 30 lb and 20 lb, respectively. The kinetic coefficient of friction between body A and the inclined surface is 0.30 while the horizontal surface supporting the body B is considered to be smooth. When the bodies are in the position shown, body B is moving to the right with a speed of 5 ft/s. Determine the tension in the cable connecting the bodies.arrow_forwardIf A is stationary and B has a velocity of 15 m/s just before collision, and the blocks couple together after impact, determine the maximum compression of the spring. Express your answer to three significant figures and include the appropriate units.arrow_forward
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