A hollow spherical shell (Ishell =2/3 M R2) has a mass 4.03 kg and radius 0.220 m. It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant angular acceleration of 1.84 rad/s2. What is the kinetic energy of the shell after it has turned through 6.00 rev?

A 39.6-cm diameter disk rotates with a constant angular acceleration of 2.70 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) Find the angular speed of the wheel at t = 2.30 s.  rad/s(b) Find the linear velocity and tangential acceleration of P at t = 2.30 s. linear velocity       m/s tangential acceleration       m/s2 (c) Find the position of P (in degrees, with respect to the positive x-axis) at t = 2.30s.

A 392 N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of a hill it is rotating at 25.0 rad/. The radius of the wheel is 0.600 m, and its moment of inertia about its rotation axis is 0.800MR2. Friction does work on the wheel as it rolls up the hill to a stop, a height h above the bottom of the hill; this work has absolute value 2600 J. Calculate h.

A large door is a uniform rectangle, with height h and width w and mass m, which is free to rotate about one long side. What is the smallest force required to open the door with constant angular acceleration a? Parameters: h = 2.70 m; w = 1.30 m; m = 50 kg; a = 0.30 rad/s^2. (in N) OA: 0.883 OB: 1.174 OC: 1.562 OD: 2.077 OE: 2.763 OF: 3.675 OG: 4.887 OH: 6.500