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Help with physics problem please!?

A horizontal circular platform (m = 80 kg, r = 4m) rotates about a frictionless vertical axle. A student (m = 63kg) walks slowly from the rim of the platform toward the center. The angular velocity, omega, of the system is 4.5 rad/s when the student is at the rim. Find omega when the student is 3m from the center.

I've tried several ways of going about solving this but i end up at a dead end. Please leave an in depth detailed explanation. Im talking step by step. Just answers wont help me Ive changed the values around a little bit from the original problem so i don't get accused of cheating. Thanks!

1 Answer

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  • 8 years ago
    Favorite Answer

    When an object is a specific distance from the center, I = m * r^2

    The total moment of inertia is the sum of the individual moments of inertia.

    This is a conservation of angular momentum problem.

    For the platform, I = ½ * 80 * 4^2 = 640

    For the student at the rim, I = 63 * 4^2 = 1008

    Total I = 640 + 1008 = 1648

    Initial angular momentum = 1648 * 4.5 = 7416

    For the student at the 3 m, I = 63 * 3^2 =567

    Total I = 640 + 567 = 1207

    Final angular momentum = 1207 * ωf

    1207 * ωf = 7416

    ωf = 7416 ÷ 1207 ≈ 6.144 rad/s

    I hope this helps you understand how to solve this type of problem. If you have any specific questions, you can contact me at morrison60957@yahoo.com .

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