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

Options

A. (a)`(mvR)/(mR^(2)+I)`
B. (b)`(mvR)/(I)`
C. (c)`(mR^(2)+I)/(mvR)`
D. (d)`(I)/(mvR)`

Answer

A