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A thin plate of mass M,length L and widt...

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?

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