A man is raising himself and the crate on which he stands with an acceleration of 5m/s2 by a massless rope and pulley arrangement. The mass of the man is 100 kg and that of the crate is 50 kg. If g=10m/s2, then tension in the rope is
A
2250 N
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B
1125 N
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C
750 N
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D
375 N
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Solution
The correct option is B 1125 N
Let T be the tension in the string and a be the acceleration of the (man + crate) system.
Total mass of the system (man + crate) = (100 + 50)g = 150g
Free body diagram of the complete system (man + crate): 2T - 150g = 150a ⇒2T=150(a+g)=150(5+10)(∵a=5m/s2andg=10m/s2 ⇒2T=2250N ⇒T=1125N
Hence, the correct answer is option (2).