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Question

If pulley shown in the diagram are smooth and massless and a1 and a2 are acceleration of blocks of mass 4 kg and 8 kg respectively, then

A
a1=a2
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B
a1=2a2
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C
2a1=a2
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D
a1=4a2
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Solution

The correct option is B a1=2a2
Let the accelerations of 4 kg and 8 kg blocks be downwards and rightwards respectively,

By length constraint,
2x+z+y=l

Differtiating twice
2d2xdt2+d2ydt2=0
2a2+a1=0
2a2=a1

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