question archive A merry-go-round has a radius of R =2 m and a moment of inertia of l = 1,000 kg m^2 about a vertical axis passing through the center of mass

A merry-go-round has a radius of R =2 m and a moment of inertia of l = 1,000 kg m^2 about a vertical axis passing through the center of mass

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A merry-go-round has a radius of R =2 m and a moment of inertia of l = 1,000 kg m^2 about a vertical axis passing through the center of mass. Friction is negligible for rotation about this vertical axis. The merry-go-round is initially at rest. A person on the ground then applies a constant tangential force of F = 250 N at the rim of the merry-go-round.

A) What is the magnitude of the torque on the merry-go-round?

B) What is the magnitude of the angular acceleration of the merry-go-around due to this torque?

C) What is the angular speed of the merry-go-round after the torque is applied for 2 s?

 

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