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Thread: 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, $\displaystyle 46g$ N, vertically down
    • The tension, $\displaystyle \displaystyle T$, in the rope
    • The normal reaction, $\displaystyle \displaystyle N$, between the plane and the mass

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

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

    Can you complete this now?

    Grandad
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