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Question

In the given figure, masses of A and B are 5 kg and 10 kg respectively. Coefficient of friction between blocks is 0.2. If the lower block is pulled rightwards with a constant force, F=50 N, time elapsed before block A falls off block B is: (There is no friction between block B and surface) and neglect the size of A)

A
2 s
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B
32 s
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C
23 s
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D
32 s
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Solution

The correct option is B 32 s
FBD of B

50fk=10a
50(0.2)(50)=10a
10a=40
a=4 ms2
FBD of A (rest frame of B)
mafk=ma1
5(4)10=5a1
a1=2 ms2
Block A has to travel a distance of 4.5 m w.r.t B, before falling off.
l=0(t)+12(a1)t2
4.5=12(2)t2t=92=32

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