Q. 17

# A uniform cube of mass m and side a is placed on a frictionless horizontal surface. A vertical force F is applied to the edge as shown in Fig. 7.8. Match the following (most appropriate choice):A. mg/4 < F mg < /2 (i) Cube will move up.B. F > mg/2 (ii) Cube will not exhibit motion.C. F > mg (iii) Cube will begin to rotate and slip at A.D. F = mg/4 (iv) Normal reaction effectively at a/3 from A, no motion.

From the problem

Cube will not move if

So a-(ii)

Cube will rotate if

So b-(iii)

If F>mg

Then cube will move up.

So, c-(i)

When the normal is a/3 from A.

So, for no rotation we balance the torque

Balancing force

Solving the above two equations

So, d-(iv)

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