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    Angular Speed of a Pencil

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    A pencil, 15.7 cm long, is released from a vertical position with the eraser end resting on a table. The eraser does not slip. Treat the pencil like a uniform rod. What is the angular speed of the pencil just before it hits the table?

    a) 13.7 rad/s
    b) 7.23 rad/s
    c) 24.5 rad/s
    d) 16.8 rad/s

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    Solution Preview

    A uniform rod of mass M and length r rotating about its end has a moment of inertia:
    I = 1/3* M*r^2

    The kinetic energy of rotation with angular speed w ...

    Solution Summary

    The solution calculates the angular speed of a dropped pencil.