For the system as shown in fig. find the acceleration of C. the accelerations of A and B with respect to ground are marked.

Explanation

Sum of segment lengths should be zero.
`(-x_(A))+(2x_(B))+x_(C)=0`
or `x_(A)=2x_(B)+x_(C)`
or `a_(A)=2a_(B)+a_(C)`
`5=2 xx 2 +a_(C)`
`implies a_(C)=1 ms^(-2)`