Conceptual Example 14 provides useful background for this problem.A playground c

Question

Conceptual Example 14 provides useful background for this problem.A playground carousel is free to rotate about its center onfrictionless bearings, and air resistance is negligible. Thecarousel itself (without riders) has a moment of inertia of 113kg·m2. When one person is standing at a distanceof 1.49 m from the center, the carousel has an angular velocity of0.649 rad/s. However, as this person moves inward to a pointlocated 0.716 m from the center, the angular velocity increases to0.768 rad/s. What is the person's mass?

Explanation / Answer

Step I : Find initial angular momentum of thesystem             L1 = ( I + mx2) 1 where x =1.49 m Step II : Find final angular momentum of thesystem               L2 = ( I + my2 ) 2 where y = 0.716 m    Step III ; Apply law of conservation ofmomentum.                  L1 = L2 Solve and get the result. Use I = 113 Solve and get the result. Use I = 113

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