(Solved): A 30kg uniform circular plate of radius r is supported by a ball-andsocket joint at point A and ...

A $$30?\mathrm{kg}$$ uniform circular plate of radius $$r$$ is supported by a ball-andsocket joint at point $$A$$ and is at rest in the vertical $$xy$$ plane when a bullet with a mass of $$15\mathrm{g}$$ is fired with the velocity $${\mathbf{v}}_0=?(210\mathrm{m}/\mathrm{s})\mathbf{k}$$ and hits the plate at point $$C$$. Knowing that $$r=400\mathrm{mm}$$ and $$h=700\mathrm{mm}$$, determine $$(a)$$ the angular velocity of the plate immediately after the bullet becomes embedded, (b) the impulsive reaction at point $$A$$, assuming that the bullet becomes embedded in $$1.1\mathrm{ms}$$.