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March 28, 2017

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A train travels at a constant speed around a curve of radius 225 m. A ceiling lamp at the end of a light cord swings out to an angle of 20.0º throughout the turn.
Draw a free body diagram?
What is the speed of the train?

  • physics - ,

    Let the cord tension be T

    T*cos20 = M*g
    T*sin20 = M*V^2/R
    Divide one equation by the other to eliminate T.
    tan20*g*R = V^2
    Solve for V
    V = 28.3 m/s

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