Assignment:
Question 1. A 1.62 oz golf ball with a 1.70 in. diameter is hit by a club at point P. Velocity magnitude of the ball's center of mass is 180 ft/s after the impact. What is the angular velocity of the ball? (h = 0.2 in.)
a. 1220 rad/s
b. 1490 rad/s
c. 3050 rad/s
d. 2280 rad/s
e. 2840 rad/s
Question 2. A 1 oz. bullet with a horizontal velocity of 350 ft/s strikes a circular disk. The bullet is embedded into the disk after impact. What is the angular velocity of the cylinder with the embedded bullet after impact? The disk weighs 8 lb and has a radius of 1.2 ft. Assume the bullet's mass is uniformly distributed in the disk after impact.
a. 0.646 rad/s
b. 0.941 rad/s
c. 2.26 rad/s
d. 1.51 rad/s
e. 3.12 rad/s
Question 3. A sphere-rod body is released from rest in the horizontal position as shown. It swings down and strikes the box when it is exactly vertical. Find how far the box slides before coming to rest. The coefficient of restitution, e is 0.5. The sphere, rod, and block have a mass of 10 kg, 3 kg, and 5 kg respectively. The radius of the sphere is 0.2 m and the length of the rod is 1 m. The coefficient of friction, μ, between the block and the ground is 0.3. Neglect tipping and assume the sphere hits the block only once.
a. 2.84 m
b. 4.38 m
c. 1.96 m
d. 3.56 m
e. 5.89 m
Question 4. A 4 kg uniform rod is at rest on the frictionless horizontal x-y plane when it is struck by a 1 kg disk as shown. The coefficient of restitution of the collision is 0.6. What is the angular velocity of the rod after collison? Neglect the friction between the disk and the rod.
a. 7.07 rad/s
b. 11.7 rad/s
c. 6.00 rad/s
d. 8.12 rad/s
e. 10.4 rad/s
Question 5. A bullet weighing 2 oz was fired horizontally into a 100 lb sand box suspended on a rope 3 ft long as shown. It was calculated from the observed angle Θ that the box with the bullet imbedded in it swung to a height of 0.097 ft. What was the speed of the bullet as it entered the box? Assume the box is small and acts like a particle.
a. 1,945 ft/sec
b. 2,000 ft/sec
c. 1,850 ft/sec
d. 2,550 ft/sec
e. 2,180 ft/sec