An object of mass M = 15.0 kg is attached to a cord that is wrapped around a wheel of radius r = 12.0 cm and mass m = 50.0 kg. The object slides down a frictionless incline which makes an angle ? = 40.0° with the horizontal. Assume the axle of the wheel to be frictionless.
a. Find the linear acceleration of the object and the angular acceleration of the wheel.
b. Determine the tension in the cord.
c. How fast will the wheel be turning after the object has traveled 10.0 m down the incline?
d. Find the time for the object to travel 10.0 m down the incline?