Find the final angular speed of the target

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Reference no: EM131383246

A fairground target consists of a uniform circular disk of mass M and radius a that can turn freely about a diameter which is fixed in a vertical position. Initially the target is at rest.

A bullet of mass m is moving with speed u along a horizontal straight line at right angles to the target. The bullet embeds itself in the target at a point distance b from the rotation axis.

Find the final angular speed of the target. [The moment of inertia of the disk about its rotation axis is Ma²/4.] Show also that the energy lost in the impact is

1/2mu²(Ma² / (Ma²+4mb²))

Reference no: EM131383246

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