The stem of a mushroom is right circular cylinder of diameter 1 and length 2 and its cap is a hemisphere of a radius “a”. If the mushroom is a homogeneous solid with axial symmetry and if its center of mass lies in the plane where the stem joins the cap, find “a”. (let the center of mass be at the origin)

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Chapter10: Rotation Of A Rigid Object About A Fixed Axis
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The stem of a mushroom is right circular cylinder of diameter 1 and length 2 and its cap is a hemisphere of a radius “a”. If the mushroom is a homogeneous solid with axial symmetry and if its center of mass lies in the plane where the stem joins the cap, find “a”. (let the center of mass be at the origin)

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