A string is wrapped several times around the rim of a small hoop with radius r and mass m . The free end of the string is held in place and the hoop is released from rest. Calculate the angular speed of the rotating hoop after it has descended a distance, h. (See attached file for diagram and figures)

Could you please provide the answers and workings out to the following physics problems.
1. A wheel with a 0.10-m radius is rotating at 35 rev/s. It then slows uniformly to 15 rev/s over 3.0-s interval. What is the angular acceleration of a point on the wheel?
2. During the spin-dry cycle of a washing machine, the motor slo

A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s/s. Through what angle has the wheel turned when its angularspeed reaches 72.0 rad/s?

A hoop of radius 0.5 m and a mass of 0.2kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after being dropped from a vertical distance of 3m?
a. 5.4 m/s
b. 3.8 m/s
c. 7.7 m/s
d. 2.2 m/s

Hi
I need you help for two questions.
1. A professor steps onto a stationary turntable while holding a rotating bicycle wheel that is rotating with an angular velocity of 15 rad/s pointing upward. The wheels axis of rotation goes through the axis of the turntable. The rotational inertia of the wheel is 1.5 kg m^2 and the co

Our sun rotates in a circular orbit about the center of the Milky Way galaxy. The radius of the orbit is 2.2 1020 m, and the angularspeed of the sun is 1.2 10-15 rad/s.
(a) What is the tangential speed of the sun?
(b) How long (in years) does it take for the sun to make one revolution around the center?

A baggage carousel at an airport is rotating with an angularspeed of 0.18 rad/s when the baggage begins to be loaded onto it. The moment of inertia of the carousel is 1000.0 kgm2. Ten pieces of baggage with an average mass of 25.0 kg each are dropped vertically onto the carousel and come to rest at a perpendicular distance of 2

Please see attached.
1. The two spheres of equal mass m are able to slide along the rotating horizontal black rod. If they are initially latched in position a distance r from the axis of rotation with the assembly rotating freely with an angular velocity of Wo.
Determine the new angular velocity Wf after the spheres are rele

A 10 kg solid disk of radius 0.50 m is rotated about an axis through its center. If the disk accelerates from rest to an angularspeed of 3.0 rad/s while rotating 2.0 revolutions, what net torque is required?

A uniform solid sphere of radius 0.500 m and mass of 15.0kg turns counterclockwise about a vertical axis through its center. Find its vector angular momentum when its angularspeed is 3.00 rad/s.
I think I have worked this problem correctly. (See attachment) Please check my answer and confirm if in correct please point ou