Q.

A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point directly above the centre of the face, at a height 3a/4 above the base. If m = 6 kg then find the minimum value of F in N for which the cube begins to tip about an edge.

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answer is 40.

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Detailed Solution

In the limiting case normal reaction will pass through A. The cube will tip about A if torque of F exceeds the torque of mg.Hence, F3a4>mga2  or F>23mg=23×6×10=40 NTherefore, minimum value of F is 40 N.
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