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A) Consider a 5.00 kg disk, radius 1.00 m, on a frictionless inclined plane, making an angle of 40.0° with respect to the horizontal. Set the elasticity to zero. Starting from rest,

What is the speed and acceleration of the center of mass after it slides down 25.0 m along the incline?

Calculate, the acceleration of the COM, and the speed of the COM at the end of the displacement.

B) Using the above simulation, adjust the coefficients of friction between the two objects to be 0.800. Verify that the Moment of Inertia of the cylinder is Planar (I = 0.5MR2).

Calculate the following:

(1) the acceleration of the COM,

(2) the Torque on the disk, and (3) the friction force acting on the disk. Find the following: Position, Velocity, and Acceleration of the COM, The gravitational force on the disk, the torque on the disk, and the total force on the disk.

Find the

(a) the speed of the COM at the end of the displacement along the ramp,

(b) the torque on the disk, and

C) Repeat (b) two more times, once for a shell (I = MR2) and again for a 3D sphere (I = 0.4MR2)

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