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Three blocks connected together by strin...

Three blocks connected together by strings are pulled along a horizontal surface by applying force F. If `T_(3)=36 N`, What is tension `T_(2)` ?

Text Solution

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Suppose system slides with acceleration
.a.. Then for motion of blocks,
`T_(3)=F=(m_(1)+m_(2)+m_(3))a`
`T_(3)=36 a, i.e., a=(T_(3))/(36)=1m//s^(2), T_(3)-T_(2)=27a`
From above equation, `36-T_(2)=27xx1 therefore T_(2)=9N`
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