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Question

Find the acceleration of block of mass 4m, assuming that the surface and pulley are smooth and the string is inextensible.

A
6g17
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B
3g17
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C
2g17
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D
g17
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Solution

The correct option is A 6g17
Let the acceleration of mass 4m and m be a1 and a2 respectively.

Using constraint relation,
a1a2a2=0a1=2a2 ... (1)
From FBD of 4m and m, we get
4mgsin30°T1=4ma1 ... (2)
2T1mg=ma2 ... (3)
Hence
4mg2T1=8ma1
2T1mg=m(a12)
Solving the above two equations, we get
3mg=ma1(172)
a1=6g17

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