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Q.

Two block A and B having masses m1=1 kg,m2=4 kg are arranged as shown in the figure. The pulleys P and Q are light and frictionless. All the blocks are resting on a horizontal floor and the pulleys are held such that strings remains just taut . At moment t=0  a force F=30 t(N) starts acting on the pulley P along vertically upward direction as shown in the figure. The time when the blocks A and B loose contact with ground is 4/x sec then x is

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a

5

b

3

c

2

d

4

answer is A.

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Detailed Solution

Concept: When blocks loose contact with ground normal reaction on them becomes zero.
(i) When A looses contact T=10 N ; F=3 t

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or 30t=30,t=1sec, When B looses contact
2T=40 or T=20,  F=3T or 30t=60 or t=2sec

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