A.) Draw and label a diagram of the cylinder showing all the forces acting on th

Question

A.) Draw and label a diagram of the cylinder showing all the forces acting on the cylinder after it is released. Label each force clearly.

B.) In terms of g, find the downward acceleration of the center of the cylinder as it unrolls from the tape.

C.) What is the angular velocity of the cylinder after it has descended 3 meters?

D.) While descending, does the center of the cylinder move toward the left, toward the right, or straight down? Explain.

A cloth tape is wound around the outside of a uniform solid cylinder (mass M, radius R) and fastened to the ceiling as shown in the diagram below. The cylinder descends, it unwinds from the tape without slipping. The moment of inertia of a uniform solid cylinder about its center is 1/2 MR^2 A.) Draw and label a diagram of the cylinder showing all the forces acting on the cylinder after it is released. Label each force clearly. B.) In terms of g, find the downward acceleration of the center of the cylinder as it unrolls from the tape. C.) What is the angular velocity of the cylinder after it has descended 3 meters? D.) While descending, does the center of the cylinder move toward the left, toward the right, or straight down? Explain.

Explanation / Answer

mgr = 1.5mr2

=a/r

mg-T = ma

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