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Using constraint equations find the relation between a_1 and a_2

Answer»

SOLUTION :Point 1,2,3 and 4 are MOVABLE. Let their dis-placement from a fixed line be ` x_1 , x_2 , x_3 and x_4`
`x_1 + x_3 =l_1`
`(x_1 - x_3 )+ ( x_4- x_3) =l_2`
` (x_1 - x_4 ) + (x_2 - x_4) = l_3`
On double DIFFERENTIATING with respect to TIME ,
we will GET following three constraint relations : ` a_1 + a_3 =0` ....... (i)
`a_1 + a_4 - 2a_3 =0`........ (ii)
`a_1 + a_2 - 2a_4 =0`............ (iii)
SolvingEqs. (i) ,(ii) and (iii) , we get ` a_2=-7a_1 `
Which is the desired relation between ` a_1 and a_2`


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