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Math Help - static on inclined planes

  1. #1
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    static on inclined planes

    a mass of 46 kg rests on an smooth inclined plane at 38 degrees to the horizontal. It is supported by a rope held horizontally. Find the tension in the rope and the reaction of the plane on the mass.
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  2. #2
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    Hello xiukhung
    Quote Originally Posted by xiukhung View Post
    a mass of 46 kg rests on an smooth inclined plane at 38 degrees to the horizontal. It is supported by a rope held horizontally. Find the tension in the rope and the reaction of the plane on the mass.
    Draw a diagram showing the forces acting on the mass:
    • Its weight, 46g N, vertically down
    • The tension, \displaystyle T, in the rope
    • The normal reaction, \displaystyle N, between the plane and the mass

    Since the mass is in equilibrium, the sum of the vertical components of these forces is zero. So
    N\cos 38^o = 46g
    Solve for \displaystyle N.

    The sum of the horizontal components is also zero. So:
    T = N\sin38^o
    Solve for \displaystyle T.

    Can you complete this now?

    Grandad
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