What is the translational speed of a point on the edge

Reference no: EM13798869

Question 1. A merry-go-round of radius R = 1.5 m has a moment of inertia of I = 175 kg m2. The merry go round is given an initial angular speed of 1.6 rad/s. Shortly after the merry go round begins rotating a cylindrical weight is dropped on the merry-go-round.

(a) The cylindrical weight has a mass of 120 kg and a radius of 0.50 m. Find the new angular speed of the merry-go-round if the cylinder is dropped in the middle (or center) of the merry-go-round.

(b) What is the translational speed of a point on the edge of the merry-go-round after the cylindrical mass has been dropped on the merry go round?

Question 2. A mass m hangs vertically while attached to a rope that is wrapped around a wheel of mass M and radius R. The spokes on the wheel are so light that their mass can be neglected and the entire wheel can be treated as a hoop..

(a.) Find an expression for the magnitude of the angular acceleration of the wheel?

(b) Find an expression for the magnitude of the Torque on the wheel?

Reference no: EM13798869

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