Hello. Could you please attempt these? I would appreciate it if you would show all your work. The list of formulas are provided next to the title of "Torque Practice #2". Thank you for all you do!

Torque Practice #2 0 = a= AO= Ax 2ar (; = 0+2040 T=- 1 = Fir T hoop = my 1. A wheel of radius 0.250 m, which is moving initially at 43.0 m/s, rolls to a stop in 225 m. Calculate the magnitude of the linear acceleration and the angular acceleration. The rotational inertia of the wheel is 0.155 kg m' about its central axis. Calculate the magnitude of the torque about the central axis due to friction on the wheel. 2. A 2.5 kg, 11 cm radius disk, initially at rest, is free to rotate about the axis of the disk. A rope of negligible mass is wrapped around it and pulled with a force of 17 N. Assuming that the rope does not slip, find the torque exerted on the disk by the rope, the angular acceleration of the disk, and the angular speed of the disk after 0.50 s. A grinding wheel is initially at rest. A constant external torque of 50 N m is applied to the wheel for 20.0 s, giving the wheel an angular speed of 600 rev/min. The external torque is then removed, and the wheel comes to rest in 120 s. Find the moment of inertia of the wheel and torque due to friction. 4. During her launch from a board, a diver's angular speed about her center of mass changes from zero to 6.20 rad/s in 220 ms. Her rotational inertia about her center of mass is 12.0 kg m'. During the launch, what are her average angular acceleration and average external torque? 5. A thin spherical shell has a radius of 1.90 m. An applied torque of 960 N m gives the shell an angular acceleration of 6.20 rad/s' about an axis through the center of the shell. What are the rotational inertia of the shell and the mass of the shell? 6. A pulley of mass 3m and radius r is mounted on frictionless bearings and supported by a stand of mass 4m at rest on a table as shown above. The moment of inertia of this pulley about its axis is 1.5mr'. Passing over the pulley is a massless cord supporting a block of mass m on the left and a block of mass 2m on the right. The cord does not slip on the pulley, so after the block-pulley system is released from rest, the pulley begins to rotate. a. Draw and label a free body diagram for the two hanging masses. b. Write the summation equations for each of the two blocks d. Write the torque summation for the pulley d. Solve the equations in parts (b) and (c) for the acceleration of the two blocks. Determine the tension in the segment of the cord attached to the block of mass m