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A solid uniform sphere of radius R and mass M rolls without slipping with angular velocity w0 when it encounters a step of height 0.4 R.

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A solid uniform sphere of radius R and mass M rolls without slipping with angular velocity w0 when it encounters a step of height 0.4 R. Find the angular velocity immediately after inelastic impact with the rough step.

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Applying conservatio principle of angular momentum about point of impact,

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