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Rotational Dynamics: Four objects of equal mass start at the topof an inclined plane. A solid cylinder, a thin walled cylinder, asolid sphere, and a thin walled sphere. All objects start at rest.Starting at rest,
A) Write down the work energy theorem including both kineticenergy terms and all potential energy terms.
B) If all four objects are released at the same moment, how longdoes each take to reach the bottom of the incline plane?
C) Find the ratio of translational (linear) kinetic energy torotational kinetic energy for each object.
D) Compare the results of the race obtained in part a to theresults obtained in part b.
E) If the ramp is 20 m long and inclined at an angle od 20degrees, what is the angular speed of the solid cylinder at thebottom of the ramp.
F) What torque is required to achieve this final angularspeed?