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A girl of mass M stands at the rim of a platform of radius R and...

A girl of mass M stands at the rim of a platform of radius R and rotational inertia I=aMR^2 (a is a fraction). Initially, both the girl and the platform are at rest, She throws a rock of mass m=M/3 horizontally in a direction that is tangent to the outer edge of the platform. The speed of the rock, relative to the ground, is v. If the velocity of the girl relative to the ground after she throws the rock is v/5, what is the value of alpha?

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