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Q.

A thin rod AB of length 2 m is bent at right angles at its mid point C and the bent rod rests on a smooth horizontal surface. When a force F is applied on the bent rod at point D as shown in the figure, the rod makes translational motion only. Then the length AD is

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answer is 4.

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Detailed Solution

Line of action of the applied force F must pass through the centre of mass of the L-shaped rod Now length CD=(m2l4+m2×0)(m2+m2)=l8∴ AD=l2−l8=3l8=3×28m                                  = 0.75 m
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