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Find the constraint relation between a_1, a_2 and a_3. |
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Answer» SOLUTION : Points 1,2,3 and 4 are movable. Let their dis-placements from a FIXED line be ` x_1 , x_2 , x_3 and x_4` We have ` x_1 + x_4 = l_1` ( length of first string ) ..... (i) and `(x_2 - x_4)+ (x_3 - x_4) = l_2` (length of SECOND string ) or ` x_2 + x_3 - 2x_4 = l_2`............ (ii) On double ,DIFFERENTIATING with respect to time , we get ` a_1 + a_4 =0` ............ (iii) and ` a_2 + a_3 - 2a_4 = 0` ......... (IV) But since ` a_4 = -a_1 a_4 = - a_1 ` [From equation (iii) ] we have ,` a_2 + a_3 + 2a_1 =0` This is the requiredconstraint relation between ` a_1 , a_2 and a_3` 
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