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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) = 36a`, i.e. `a=T_(2)/36 =1 m//s^(2), T_(3)-T_(2)= 27a`
`3-T_(2) = 27 xx 1, therefore T_(2) = 9 N`
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