The solid cylinder and cylindrical shell in FIGURE have

Chapter 12, Problem 11CQ

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QUESTION:

The solid cylinder and cylindrical shell in Figure Q12.11 have the same mass, same radius, and turn on frictionless, horizontal axles. (The cylindrical shell has lightweight spokes connecting the shell to the axle.) A rope is wrapped around each cylinder and tied to a block. The blocks have the same mass and are held the same height above the ground. Both blocks are released simultaneously. Which hits the ground first? Or is it a tie? Explain.

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QUESTION:

The solid cylinder and cylindrical shell in Figure Q12.11 have the same mass, same radius, and turn on frictionless, horizontal axles. (The cylindrical shell has lightweight spokes connecting the shell to the axle.) A rope is wrapped around each cylinder and tied to a block. The blocks have the same mass and are held the same height above the ground. Both blocks are released simultaneously. Which hits the ground first? Or is it a tie? Explain.

ANSWER:

Step 1 of 2

The block tied to the solid cylinder will hit the ground.

The moment of inertia of the solid cylinder is smaller compared to the cylindrical shell. The mass and the radius of the two cylinders are constant.

 

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