Question $5$

Two collars A and B with weights $2$ lb and $2\mathrm{.}3$ lb $,$ respectively, can slide without friction on a frame, consisting of the

horizontal rod OE and the vertical rod CD$,$ which is free to rotate about CD$.$ The two collars are connected by a cord

running over a pulley that is attached to the frame at O and a stop prevents collar B from moving. The frame is rotating

at the rate ${}^{}=8\mathrm{.}6ra\frac{d}{s}$ and $r=0\mathrm{.}4ft$ when the stop is removed allowing collar $A$ to move out along rod OE$.$ Neglecting

friction and the mass of the frame, determine, for the position $r=1\mathrm{.}5ft,$ the acceleration of collar A relative to the rod

OE$.$