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Question

In the figure shown, the system is accelerated upwards with 2 m/s2 by an external force F. Find the value of Fo and tension at the mid point of the rope.
Take g=10 m/s2.

A
120 N, 4 N
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B
120 N, 48 N
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C
100 N,4 N
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D
100 N,48 N
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Solution

The correct option is B 120 N, 48 N
For calculating the value F, consider two blocks with the rope as a system. FBD of the whole system,

Fo100=10×2
Fo=120 N
For calculating the tension at the middle point, we draw FBD of 3 kg block with half of the rope (mass 1 kg) as shown.
T4g=ma=4×2
T=48 N

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