A rigid body is made of three identical thin rods, each with length L = 0.320 m, fastened together in the form of a letter H, as suggested by the figure here. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a position in which the plane of the H is horizontal. What is the angular speed of the body when the plane of the H is vertical? L Number i Unit

A ball (in the form of a spherical shell which has a moment of inertia of 2/3 M R^2) rolls down a roof, then falls to the ground. The ball has a mass of 1.65 g and a radius of 15.0 cm. The roof is inclined at 20.0 degrees and the ball rolls a distance of 3 meters along the roof before falling off. a)  What is the angular speed of the ball at the moment it leaves the roof? b)  If the distance from the end of the roof to the ground is 2.50 m, how many revolutions does the ball make before it hits the ground?

The uniform thin rod in the figure below has mass M = 2.50 kg and length L = 2.87 m and is free to rotate on a frictionless pin. At the instant the rod is released from rest in the horizontal position, find the magnitude of the rod's angular acceleration, the tangential acceleration of the rod's center of mass, and the tangential acceleration of the rod's free end. HINT L/2 × CG M O (a) the rod's angular acceleration (in rad/s²) rad/s² (b) the tangential acceleration of the rod's center of mass (in m/s²) (c) m/s² the tangential acceleration of the rod's free end (in m/s²) m/s²

A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 2.58 m and a rotational inertia of 255 kg·m2 about the axis of rotation. A 53.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.18 rad/s when the student starts at the rim, what is the angular speed when she is 1.79 m from the center?