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Question

# Two blocks A and B weighing 2 kg and 8 kg respectively are tied with an inextensible string. The coefficient of kinetic and static friction between the blocks and the horizontal surface is 0.25 and 0.3 respectively. If horizontal force F=25 N, then find the acceleration of block A and B.

A
2.5 m/s2
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B
2 m/s2
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C
Zero
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D
4 m/s2
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Solution

## The correct option is C ZeroGiven, μk=0.25 μs=0.3 F=25 N Initially both the blocks are at rest, Then, maximum static friction force, Fs=μs(mA+mB)g=0.3(2+8)×10 =30 N ∵Fs≤Fs(max) A and B blocks will not move ∴ Acceleration of block A and B =0

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