Find the acceleration of block `B` realtive to the ground if the block A moves to the left with an acceleration `a_(0)`
.

Options

A. `sqrt(31)a_(0)`
B. `sqrt(25)a_(0)`
C. `sqrt(30) a_(0)`
D. `30 a_(0)`

Answer

A

Explanation

`5Ta_(0)-Ta_(BA)=0,a_(BA)=5a_(0)`
`a_(B)=sqrt(a_(0)^(2)+(5a_(0))^(2)+2a_(0)cos60^(@)),`
`a_(B)=sqrt(31)a_(0)`