The 7-kg sphere is projected horizontally with a velocity of 13 m/s against the 38-kg carriage which is backed up by the spring with stiffness of 1510 N/m. The carriage is initially at rest with the spring uncompressed. If the coefficient of restitution is 0.70, calculate the rebound velocity v', the rebound angle 6, and the maximum travel 6 of the carriage after impact. 7 kg Answers: 8- i i i 13 m/s k 1510 N/m 66% 38 kg m/s m M

The 28-lb collar A is released from rest in the position shown and slides with negligible friction up the fixed rod inclined 28° from the horizontal under the action of a constant force P = 52 lb applied to the cable. Calculate the required stiffness k of the spring so that its maximum deflection equals 6 in. The position of the small pulley at B is fixed. P B 28" 28° 6" Answer: k = i 35" lb/ft k

The mass center, G, of the 2-lb ball has a velocity of (vd - 5 ft/s when it strikes the end of the smooth 4-lb slender bar, which is at rest. The bar has a length l-Sft. The coefficient of restitution is e-0.8. The goal is to find the angular velocity of the bar after impact. Steo 5: Finally find the angular velocity of the bar after impact in rad/s. Give your answer with 2 decimal places

Disks A and B are connected by a thin rod. Disk C with a horizontal velocity vo = 3 m/s hits disk A on a frictionless surface. The disks are identical. Find the velocity of disk C after this perfectly elastic impact. Vo 0 = 40 Problem 2