Using constraint equations find the relation between a_(1)"and" a_(2)

1.	Using constraint equations find the relation between a_(1)"and" a_(2)
Answer» <html><body><p></p>Solution :Points <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>,2,3 and 4 are movable . Let their dis-placements from a fixed line be `x_(1),x_(2),x_(3) "and" x_(4)`<br/> `x_(1)+x_(3)=l_(1)`<br/> `(x_(1)-x_(3))+(x_(4)-x_(3))=l_(2)`<br/> `(x_(1)-x_(4))+(x_(2)-x_(4))=l_(3)`<br/> On double differentiating with respect to time , <br/> we will get following three constraint <a href="https://interviewquestions.tuteehub.com/tag/relations-15885" style="font-weight:bold;" target="_blank" title="Click to know more about RELATIONS">RELATIONS</a> :`a_(1)+a_(3)=<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>`....(i)<br/>`a_(1)+a_(4)-2a_(3)=0`....(ii)<br/>`a_(1)+a_(2)-2a_(4)=0`....(iii)<br/> Solving Eqs. (i), (ii), and(iii) we get `a_(2)=-7a_(1)`<br/>Which is desired <a href="https://interviewquestions.tuteehub.com/tag/relation-1183220" style="font-weight:bold;" target="_blank" title="Click to know more about RELATION">RELATION</a> between `a_(1) "and" a_(2)`<br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/AKS_ELT_AI_PHY_XI_V01_A_C06_SLV_027_S01.png" width="80%"/></body></html>

Discussion