ES$225$ Engineering Mechanics $-$ Final, Rigid Body Dynamics, January $88$t$,\text{'}24$

Q$1.$ A $10-kg$ uniform rodABC is connected to two collars of negligible mass which slide on horizontal, frictionless rods located in the same vertical plane. If a force $P$ of magnitude $50N$ is applied at point $C,$ What kind of motion does rod ABC perform? Determine $($i$)$ the acceleration of the rod, $($ii$)$ the reaction at $B$ and $C.$