A 6.50-cm-diameter, 320 g solid sphere is released from rest at the top of a 1.70-m-long, 18.0degree incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline Express your answer with the appropriate units.     What fraction of its kinetic energy is rotational

The rectangular block shown rotates about the diagonal OA with a constant angular velocity of 5.8 rad/s. Knowing that the rotation is counterclockwise as viewed from A, determine the velocity and acceleration of point B at the instant shown. 5 in. 12 in. 15.6 in. 15.6 in. The velocity of corner Bis -( 32.123 in./s)i + ( 10.295 in./s)j - ( 13.38 in./s)k. The acceleration of corner Bis -(186.3134| in./s²)i – (| 31.0764 in. in./s²)j + o in./s2)k.

A cylindrical shaped object of mass 5.0 kg and radius 0.25 m is rotating at 11 rad/s. An object is dropped so that it sticks to the cylinder at a distance of 0.10 m from the axis of rotation, and the system’s angular speed decreases to 10.5 rad/s. What is the mass of the dropped object?

A pitcher throws a curveball that reaches the catcher in 0.64 s. The ball curves because it is spinning at an average angular velocity of 380 rev/min (assumed constant) on its way to the catcher's mitt. What is the angular displacement of the baseball (in radians) as it travels from the pitcher to the catcher?