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In the adjacent figure ABC is a uniform isosceles triangular lamina of mass m and AB=AC=l. The lamina is free to rotate about a fixed horizontal axis OAO' which is in the plane of the lamina. Initially the lamina is in static equilibrium with maximum gravitational potential energy. Due to slight disturbance, lamina starts rotating. Now choose the correct option (s) |
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Answer» The maximum angular speed acquired by lamina is `4sqrt((sqrt(2)g)/(3l))` `(2sqrt(2)mgl)/3=1/2.(ml^(2)omega^(2))/4` `( "moment of inertia about" OAO'=(ml^(2))/4)` `impliesomega=sqrt(16sqrt(2))/3.g/l=4sqrt((sqrt(2)g)/(3l))` `F-mg=momega^(2)R=mxx(16sqrt(2)g)/(3l).(sqrt(2)l)/3` `impliesF+mg+(32mg)/9-(41mg)/9` |
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