a) a) A thin rod of mass M = 0.5 kg and length L= 8 m is attached to a frictionless table and is struck at a point L/4 from its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates after the collision. Consider the clay ball as a point object, therefore Iday = mr?. Calculate the moment of inertia relative to the point of rotation Q immediately after the collision. Hint: find r for the clay ball (distance from the point of rotation to the object). Apply the parallel axis theorem for the rod Irod = ICM rod + Md?, find d for the rod (distance from the point of rotation Q to the center of mass of the rod). b) CMod. b) A thin rod of mass M = 0.5 kg and length L = 8 m is initially at rest on a frictionless table and is struck at a point L/4 from its CM (as shown) by a clay ball of mass m = 1 kg moving at some speed. The ball sticks to the rod and rotates after the collision. Consider the clay ball as a point object, therefore Iclay = mr2.…

5) A disk of mass m = 75.0 g and radius r = 4.20 cm glides across an air table at a speed v = 1.5 m/s. It makes a glancing collision with a hoop of radius R = 5.80 cm and mass M = 130 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the two objects stick together and rotate after the collision. a)  What is the angular momentum of the system relative to the center of mass? b)  What is the angular speed about the center of mass?

(a) Calculate the angular momentum, in kg m²/s, of an ice skater spinning at 6.00 rev/s given his moment of inertia is 0.450 kg. m². kg-m²/s (b) He reduces his rate of spin (his angular velocity) by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia, in kg m², if his angular velocity drops to 2.15 rev/s. kg-m2 (c) Suppose instead he keeps his arms in and allows friction with the ice to slow him to 3.00 rev/s. What average torque, in N m, was exerted if this takes 19.0 seconds? (Indicate the direction with the sign of your answer. Assume that the skater's rotation is in the positive direction.) N-m