Child Top View 34. The diagram above shows a top view of a child of mass M on a

Question

Child Top View 34. The diagram above shows a top view of a child of mass M on a circular platform of mass 5M that is rotating counterclockwise. Assume the platform rotates without friction. Which of the following describes an action by the child that will result in an increase in the total angular momentum of the child-platform system? (A) The child moves toward the center of the (B) The child moves away from the center of the (C) The child moves along a circle concentric platform. platform. with the platform (dashed line shown) opposite the direction of the platform's rotation (D) None of the actions described will change the total angular momentum of the child- platform systenm

Explanation / Answer

34)Correct Ans is:

(D)None of the actions described will change the total angu;ar momentum of the child platform system.

explanation:

We know that, angular momentum is given by:

L = I w

From conservation of angular momentum, the total angular momentum of the system remains conserved. So even if the child moves and inertia of system increases or decreases, it will be balanced by the change in angular velocity and hence the total angular momentum of the system will remain conserved.

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