1.

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

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)`
`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)
Solving Eqs. (i), (ii), and(iii) we get `a_(2)=-7a_(1)`
Which is desired RELATION between `a_(1) "and" a_(2)`


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