A child of mass m, stands on the edge of a merry-go-round of radius R. The merry-go-round rotates freely and has moment of inertia I about the axis through its center. The child catches a ball of mass m, thrown by a friend. The ball has a horizontal velocity of magnitude vo at angle 0 with a line tangent to the outer edge of the merry-go-around, as shown. What is the angular velocity (magnitude and direction) of the merry-go-round just after the ball is caught? pball axis View from above child

A child of mass m, stands on the edge of a merry-go-round of radius R. The merry-go-round rotates freely and has moment of inertia I about the axis through its center. The child catches a ball of mass m, thrown by a friend. The ball has a horizontal velocity of magnitude vo at angle 0 with a line tangent to the outer edge of the merry-go-around, as shown. What is the angular velocity (magnitude and direction) of the merry-go-round just after the ball is caught? pball axis View from above child