Question

# A block of mass 1 kg is placed on a rough horizontal surface connected by a light string passing over two smooth pulleys as shown. Another block of 1 kg is connected to the other end of the string. The acceleration of the system is (coefficient of friction for rough horizontal surface is μ=0.2)

A
0.8 g
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B
0.4 g
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C
0.5 g
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D
Zero
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Solution

## The correct option is C 0.4 gLet acceleration of both blocks be a From FBD of block on rough surface N=mg=g T−f=ma T−μN=a T−μg=a T−0.2g=a...........(1) From FBD of hanging block 1g−T=1a................(2) Adding (1) and (2) ⇒0.8g=2a ⇒a=0.4g m/s2 The correct option is (b)

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