Homework H$\mathrm{.}4.$S

Given: Particle A $($having a mass of $m)$ is attached to rod OA$,$ with end O being pinned to a vertical shaft. Particle $A$ is also attached to particle $B($having a mass of $m)$ through rod $AB,$ with particle B being constrained to slide along the rotation axis of the shaft. At a time when the shaft is rotating with a rate of ${}_1$ and with $={}_1,$ and while particles A and B are stationary with respect to the shaft, the particles are released. Assume all surfaces to be smooth and the mass of rods OA and AB to be negligible.

Find: Determine the speed of particle B when $={}_2.$

Use the following parameters in your analysis: $m=20kg,L=0\mathrm{.}5m,{}_1=6ra\frac{d}{s},{}_1=30$ and ${}_2=90.$