A solid hemisphere of radius R is on top of a static ball with the same radius. Then the hemisphere is moved slightly by angle φ (see picture below).
Assume that the hemisphere is always in contact with the ball and also assume that the ball never moves. Determine the initial angular acceleration α of the hemisphere! (gravitational acceleration is g)
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I get the answer as 15g sin(phi)/16
but given answer is 3g sin(phi)/4
I have used the fact that the distance of the c.g. of a solid hemisphere from its base = 3R/8
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