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A stick of mass M and length L is pivoted at one end. A small mass...

  1. A stick of mass M and length L is pivoted at one end. A small mass m<M is attached to the right-hand end of the stick. The stick is held horizontally and released from rest.

    1. Given that the rotational inertia of a uniform rod pivoted around one end is 1/3ML^2, determine the rotational inertia of the described system.

    2. Calculate the angular velocity of the system when it reaches a vertical position. You cannot use rotational kinematics here because angular acceleration is not constant. Use conservation of energy.

    3. Calculate the linear velocity of the small mass m when it is at its lowest position.

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