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A uniform cube of side and mass m rests ...

A uniform cube of side and mass m rests on a rough horizontal surface. A horizontal force F is applied normal to one face at point that is directly above the centre of the face at a height `(a)/(4)` above the centre. The minimum value of F for which the cube begins to topple above an edge without sliding is

A

`1/4 mg`

B

2mg

C

`1/2 mg`

D

`2/3 mg`

Text Solution

Verified by Experts

The correct Answer is:
D
For the cube to topple about P.
`tau_(F) gt tau_(mg)`
or `F(3a)/4 gt (mg)a/2` or `F gt 2/3 mg`

Minimum value of F is `2/3` mg
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