A thin plate of mass `M`,length `L` and width `2d` is mounted vertically on a frictionless fixed axle along the `z`-axis as shown. Initially, the object is at rest. it is then tapped with a hammer to provide a torque `tau`, which produces an angular impulse `H` about the z-axis of magnitude `H = int tau dt`. What is the angular speed co of the plate about the `z`-axis after the tap?

Options

A. `H/(Md^(2))`
B. `(2H)/Md^(2)`
C. `(3H)/(Md^(2))`
D. `(4H)/(Md^(2))`

Answer

C

Explanation

`H=Iomega, here I=(M(2d)^(2))/12=(Md^(2))/3`
`omegaH/((Md^(2)//3))=(3H)/(Md^(2))`