Instructions: solve 4 of 6 problems below. All problems have equal weight: you must answer all parts of multi-part questions for full credit, show your work for full credit. The cylinder is initially at rest and mounted on a xed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axis and at a distance d < r from the center. Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. The moment of inertia of a solid cylinder is i = 1. 2 m r2, the moment of inertia of a point particle mass m a distance r from an axis of rotation is i = mr2. m vi d. R: a uniform disk with mass m = 2. 5 kg and radius r = 20 cm is mounted on a xed horizontal axle, as shown below.
