A merry-go-round is at rest, pivoted on a frictionless axis. A child of mass m runs along the path tangential to the rim with speed v and jumps on to merry-go-round. If R is the radius of the merry-go-round and I is the moment of inertia, then the angular velocity of the merry-go-round and the child is

Question

A merry-go-round is at rest, pivoted on a frictionless axis. A child of mass m runs along the path tangential to the rim with speed v and jumps on to merry-go-round. If R is the radius of the merry-go-round and I is the moment of inertia, then the angular velocity of the merry-go-round and the child is, m v R m R 2 + I, m v R I, m R 2 + I m v R, I m v R

MARKS App · Accepted Answer

By law of conservation of angular momentum mvR = I system ω ⇒ mvR = I + mR 2 ω ⇒ ω = mvR I + mR 2

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