Chapter 15, Problem 71P

tube A expels a 0.5 kg ball with a horizontal velocity Va = 2 m / s. Determine the horizontal distance R at which the smooth inclined plane hits. If the coefficient of restitution is e = 0.6, determine how fast it bounces off the plane at B. Make the free-body diagrams

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The 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.

A 1-lb ball A is traveling horizontally at 20 ft/s when it strikes a 10-lb block B that is at rest. If the coefficient of restitution between A and B is e = 0.6, and the coefficient of kinetic friction between the plane and the block is Uk = 0.4, determine the time for the block B to stop sliding.

If 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.

The 9.0 kg sphere A is held at an angle of 60° as shown, and then is released from rest and hits the B sphere which has a mass of 4.5 kg. In this crash the coefficient of restitution is e = 0.75. The sphere B is attached to the end of a rod lightweight rotating around the O point. The spring is initially non elongated and it is known that the maximum angle θ that the rod turned after the crash measured from the initial position was of 21.4º. Calculate: a) The speed with which sphere A impacts with sphere B. b) The magnitude and direction of the velocities of each sphere A and B after impact. c) The mechanical energy dissipated on impact. d) The spring stiffness constant k.

The 10-lb collar B is at rest, and when it is in the position shown the spring is unstretched. If another 1-lb collar A strikes it so that B slides 4 ft on the smooth rod before momentarily stopping, determine the velocity of A just after impact, and the average force exerted between A and B during the impact if the impact occurs in 0.002 s. The coefficient of restitution between A and B is e = 0.5

The 0.5-kg cylinder A is released from rest from the position shown and drops a distance h = 0.6 m. It then collides with the 0.4-kg block B, which rests on two massless springs of stiffness k₁ = 50 N/m and k₂ = 100 N/m, that have the same natural length (unstretched length). The coefficient of restitution of the collision is e = 0.8. Neglect all friction and treat both A and B as particles. (a) Show that the initial deformation of each of the two springs is approximately 0.0262 m. (b) Determine the maximum downward displacement of block B from its initial position, after the impact. (c) Determine the energy that is lost in the impact between block A and block B. MA A h MB B wwwwww wwwwww

When the rope is at an angle of a= 30°, the 1-kg sphere A has a speed v0 = 0.6 m/s. The coefficient of restitution between A and the 2-kg wedge B is 0.8 and the length of rope I = 0.9 m. The spring constant has a value of 1500 N/m and 0= 20°. Determine (a) the velocities of A and B immediately after the impact, (b) the maximum deflection of the spring, assuming A does not strike B again before this point.