A solid uniform sphere of mass 2.92 kg and diameter 78.6 cm spins about an axle through its senter. Starting with an angular velocity of 11.3 rev/s, it stops after turning through 90.7 rev with uniform acceleration. The magnitude of the net torque (in N m) acting on this sphere as it is slowing down is

Masses m1= 8.0 kg and m2= 2.0 kg are attached at the ends of a massless rod 2.00 meters long, mounted to spin around a point 50.0 cm from one end. Calculate the rotational inertia around the mount point.

A solid uniform sphere of mass 116 kg and radius 1.70 m starts from rest and rolls without slipping down an inclined plane of vertical height 5.97 m. What is the angular speed of the sphere at the bottom of the inclined plane? Give your answer in rad/s.

A merry-go-round accelerates from rest to 0.74 rad/s in 33 s. Assuming the merry-go-round is a uniform disk of radius 6.0 m and mass 3.10×104 kg, calculate the net torque required to accelerate it. Express your answer to two significant figures and include the appropriate units.

A bicycle wheel, of radius 0.300 m and mass 1.16 kg (concentrated on the rim), is rotating at 4.00 rev/s. After 54.2 s the wheel comes to a stop because of friction. What is the magnitude of the average torque due to frictional forces? ____ N⋅m

A merry-go-round, having a radius of 2.5 m, is set in motion starting from rest, by students applying a force of 500 N tangential to the rim of the wheel. After five seconds of torque, the students let go and measure the rotational speed: 1.25 rad/s. What is the rotational inertia of the merry-go-round?

A bar on a hinge starts from rest and rotates with an angular acceleration a = 13 + 7t, where a is in rad/s? and t is in seconds. Determine the angle in radians through which the bar turns in the first 4.53 s. 226 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four- digit accuracy to minimize roundoff error, rad

In the figure, the block has mass m=0.45 kg and the pulley is on a frictionless horizontal axle with radius R=5.35 cm. When released from rest, the cylindrical pulley makes 10 full turns in 4.57 seconds as the block goes down. Find the rotational inertia of the pulley.

In the figure, wheel A of radius ra = 13.3 cm is coupled by belt B to wheel Cof radius rc=20.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.43 rad/s2. Find the time needed for wheel C to reach an angular speed of 58.1 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) TA Number i Units

Two Thin rectangular sheets (0.28m x 0.47 m) are identical. In the first sheet the axis of rotation lies along the 0.28 inside, and in the second it lies along 0.47m side. The same torque is applied to each sheet. The first sheet starting from rest reaches its final angular velocity in 5.2 s. How long does it take for the second seat starting from rest to reach the same Angularer velocity?