Question

Calculate the relative acceleration of $A$ w.r.t $B$ if $B$ is moving with acceleration $a_0$ towards right.

Answer 1

R.E.F image

Total faction on $A=27$

Total faction on $B=37$

$\begin{array}{ccc}& A& B\\ & 27& 37\\ \text{So acceleration}& 3a& 2a\end{array}$

$a_{AB}=a_A-a_B$

$=\frac{3}{2}a-a$

$=\frac{a}{2}$

it mean acc${}^n$ of $B=a$ so acc${}^n$ of $A=3a$