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# Translational Velocity

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An object of your choice, of radius R, is given an initial angular velocity about a horizontal axis of w_0 (omega(initial)). The object is then set down on a surface that has a friction coefficient of u and released. What is the translational velocity of the object as it rolls away from the initial point of contact?

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The expert examines translational velocity.

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4.) An object of your choice, of radius R, is given an initial angular velocity about a horizontal axis of w_0 (omega(initial)). The object is then set down on a surface that has a friction coefficient of µ and released. What is the translational velocity of the object as it rolls away from the initial point of contact?

Let the moment of inertia of the object (sphere or cylinder or a disc) is I. The angular momentum of the object due to rotational motion just before it is placed on the surface about its axis will be

As it is rotating only its angular momentum about any axis ...

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