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Find the constraint relation between a_1, a_2 and a_3.

Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> : Points 1,2,3 and 4 are movable. Let their dis-placements from a <a href="https://interviewquestions.tuteehub.com/tag/fixed-457597" style="font-weight:bold;" target="_blank" title="Click to know more about FIXED">FIXED</a> line be ` x_1 , x_2 , x_3 and x_4` <br/> We have ` x_1 + x_4 = l_1` ( length of first string ) ..... (i) <br/> and `(x_2 - x_4)+ (x_3 - x_4) = l_2` (length of <a href="https://interviewquestions.tuteehub.com/tag/second-1197322" style="font-weight:bold;" target="_blank" title="Click to know more about SECOND">SECOND</a> string ) <br/> or ` x_2 + x_3 - 2x_4 = l_2`............ (ii) <br/> On double ,<a href="https://interviewquestions.tuteehub.com/tag/differentiating-953151" style="font-weight:bold;" target="_blank" title="Click to know more about DIFFERENTIATING">DIFFERENTIATING</a> with respect to time , <br/> we get ` a_1 + a_4 =0` ............ (iii) <br/> and ` a_2 + a_3 - 2a_4 = 0` ......... (<a href="https://interviewquestions.tuteehub.com/tag/iv-501699" style="font-weight:bold;" target="_blank" title="Click to know more about IV">IV</a>) <br/> But since ` a_4 = -a_1 a_4 = - a_1 ` [From equation (iii) ] <br/> we have ,` a_2 + a_3 + 2a_1 =0` <br/> This is the requiredconstraint relation between ` a_1 , a_2 and a_3` <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/AKS_AI_PHY_V01_P1_C06_SLV_030_S01.png" width="80%"/></body></html>


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