A spherical shell with a mass of 1.6 kg and a radius of 0.35 m is rolling across the level ground with an initial angular velocity of 37.7 rad/s. It is slowing at an angular rate of 4 rad/s². What is its rotational kinetic energy after 4.4 s? The moment of inertia of a spherical shell is I MR²

A 70 kg disk is spinning about a vertical axis of rotation with a radius of 1.2 m and a rotational inertia of 0.45 mr2 and it has an initial angular velocity of 10 rad/s. An unknown mass falls onto the disk 0.8 m away from the axis of rotation. After the collision, the disk is now spinning at 6 rad/s. The rotational inertia of the mass is mr2. Calculate the unknown mass that falls on the disk.

A figure skater rotating at 50.00 rad/s with arms extended has a moment of inertia of 4.5 kg. m^2. If the arms are pulled in so the moment of inertia decreases to 1.80 kg. m^2, what is the final angular speed? O 17.6 rad/s 12.25 rad/s 0.125 rad/ s 0.81 rad/s 125 rad /s

T m A 25.0 kg mass is hung from a rope that is passed over a pulley and held by a man standing on a ramp. The pulley can be treated as a solid disk with a mass of 10.0 kg that has a radius of 0.400 m. The man pulls the rope so that the pulley rotates from rest through an angular displacement of 15.0 rad in 2.00s. A. What is the angular acceleration of the disk? B. What is the tension of the rope as it pulls up on the box? C. What is the force applied by the man on the rope as he pulls the box upward?

A dentist causes the bit of a high speed drill to accelerate from an angular speed of 1.76e4 rad/s to an angular speed of 3.71e4 rad/s. In the process, the bit turns through 1.62e4 rad.Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 8.42e4 rad/s starting from rest.

A spherical shell with a mass of 1.43 kg and a radius of 0.39 m is rolling across the level ground with an initial angular velocity of 35.9 rad/s. It is slowing at an angular rate of 2.6 rad/s². What is its rotational kinetic energy after 4.7 s? The moment of inertia of a spherical shell is I = 글MR2

M, a solid cylinder (M=2.27 kg, R=0.131 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.750 kg mass, i.e., F = 7.357 N. Calculate the angular acceleration of the cylinder. R M F

A solid sphere with a radius of 0.44 and a mass 0.26 is set to rotate about its center. After a time of 12.1 s, its rotational kinetic is 29.3 J. What is its constant angular acceleration? The moment of inertia for a solid sphere is I=2/5MR2

A disk of radius 0.5 m is rotating with constant angular acceleration around an axis passing through its center as shown in the figure. It starts rotation at r = 0 with an angular velocity of 10 rad/s/ After making 30 revolutions, its angular velocity becomes 100 rad/s. Find the tangential acceleration (in m/s) of a point P on the rim of the disk P R

An ice dancer with her arms stretched out starts into a spin with an angular velocity of 2.9 rad/s. Her moment of inertia with her arms stretched out is 2.84kg m. What is the difference in her rotational kinetic energy when she pulls in her arms to make her moment of inertia 1.67 kg m2? (Answer in J)