The motion of the $2\mathrm{.}5-$kgrodAB is guided by two small wheels which roll freely in horizontal slots. If a force $P$ of magnitude $8N$ is applied at $B,$ determine $($a$)$ the acceleration of the rod, $($b$)$ the reactions at A and $B.$

Ans: $($a$)a=3\mathrm{.}2\frac{m}{s^2}(b)A=3\mathrm{.}82NB=20\mathrm{.}71N$