Q.

The monkey B shown in figure is holding on to the tail of the monkey A which is climbing up a rope. The masses of the monkeys A and B are 5 kg and 2 kg respectively. If A can tolerate a tension of 30 N in its tail, what force should it apply on the rope in order to carry the monkey B with it? (Take, g = 10 ms-2)

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a

105 N

b

108 N

c

10.5 N

d

100 N

answer is A.

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Detailed Solution

If A is climbing with constant velocity, then T′=5g+T and T=2gT′=5g+2g=7gSuppose A is climbing with acceleration a such that       T=30NT−2g=2a30−2×10=2aor a=5ms−2Again, T′−T−5g=5aor  T′=T+5g+5aor  T′=(30+50+25)N=105N
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