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Question

Consider a special situtation in which both the faces of the block M0 are smooth, as shown in adjoining figure. Mark out the correct statement(s)


(A) If F=0, the blocks M and m cannot remain stationary
(B) For one unique value of F, the blocks M and m remain stationary with respect to block M0
(C) There exists a range of F for which blocks M and m remain stationary with respect to block M0
(D) Since there is no friction, therefore, blocks M and m cannot be in equillibrium with respect to block M0

A
Only Statement A is Correct
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B
Only Statement B is Correct
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C
Only Statement C is Correct
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D
Both Statement A and B are Correct
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Solution

The correct option is D Both Statement A and B are Correct
(A) If F = 0, the block cannot remains stationary

If the force F=0, block M0 will remain stationary but there will be acceleration in the system of masses m and M i.e. a=mgm+M

(B) For one unique value of F, the blocks M and m remain stationary with respect to block M0.

This case will arise when the pseudo force due to acceleration acting on M will be equal to weight mg.

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