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Question

The pulley and strings shown in the figure below are massless. Find the Acceleration of system.
(Take g=10 m/s2)


A
2 m/s2
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B
1 m/s2
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C
1.5 m/s2
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D
2.5 m/s2
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Solution

The correct option is B 1 m/s2
Let us suppose acceleration of blocks be a.
From the data shown in the figure

On applying F=ma for all the three blocks we get,
10T1=1×a ...(1) [For block A]
T1T2f1=1×a ...(2) [For block B]
T2f2=1×a ...(3) [For block C]
On adding (1), (2) and (3), we get
10f1f2=3×a
Limiting friction of block B:
f1=μN1=0.35×10=3.5 N
Limiting friction of block C:
f2=μN2=0.35×10=3.5 N
a=102×3.53
a=1 m/s2
Hence, option(b) is the correct answer.

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