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Question

# Two mass m and 2m are attached with each other by a rope passing over a frictionless and massless pulley. If the pulley is accelerated upwards with an acceleration 'a' , what is the value of tension ?

A
g+a3
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B
ga3
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C
4m(g+a)3
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D
m(ga)3
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Solution

## The correct option is A 4m(g+a)3 let, with relative to pulley the block 2 m descends with acceleration a0 for 2 m mass 2m(a−a0)=T−2mg−(1) for m mass m(a+a0)=T−mg0−(2) -from (1)&(2)2ma−2ma0=T−2mg2ma+2ma0=2T−2mg 4ma=3T−9mg on T=4m(a+q)z Option: C

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