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.

Answer :

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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