A child of mass m is standing at the edge of a carousel. Both the carousel...

 

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A child of mass m is standing at the edge of a carousel. Both the carousel and the child are initially stationary. The carousel is a large flat, uniform disc of mass M, and radius R, which turns on a frictionless pivot at its center. It has moment of inertia /= MR¹/2. The child is very small compared to the carousel. The child starts to run around the edge of he carousel at speed v. The direction of child is counter-clockwise when the carousel is viewed from above. Taking the -axis as upwards, what is the angular velocity of the carousel after the child has started running? Initial: Child and Carousel at rest R Final: Child running counterclockwise with speed v R A child of mass m is standing at the edge of a carousel. Both the carousel and the child are initially stationary. The carousel is a large flat, uniform disc of mass M, and radius R, which turns on a frictionless pivot at its center. It has moment of inertia /= MR¹/2. The child is very small compared to the carousel. The child starts to run around the edge of he carousel at speed v. The direction of child is counter-clockwise when the carousel is viewed from above. Taking the -axis as upwards, what is the angular velocity of the carousel after the child has started running? Initial: Child and Carousel at rest R Final: Child running counterclockwise with speed v R

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In this case the system consists of the child and the carousel which are initially stationar... View the full answer