Physics - Rotation Question with Solution | TestHub

There is a rectangular plate of mass M kg of dimensions $(\mathrm{a}\times \mathrm{b})$hinged at one end as shown. The plate is held in horizontal position by striking $n$ small balls each of mass $m$ per unit area per unit time. These are striking in the shaded half region of the plate distributed uniformly. The balls are colliding elastically with velocity v . What is v ? It is given $\mathrm{n}=100,\mathrm{M}=3\mathrm{kg},\mathrm{m}=0.01\mathrm{kg};\mathrm{b}=2\mathrm{m};\mathrm{a}=1\mathrm{m};\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2$.