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A block with a mass 4.0 kg is held in equilibrium on an incline of angle θ = 42° by a horizontal force F.
a)Find the magnitude of the normal force.
b) Find the magnitude of F. (Ignore friction.)

  • Physics -

    a) The applied horizontal force is balanced by the weight and the normal force applied to the block by the incline.

    Let the normal force be Fn.

    Fn = M g cos42 + F sin42
    F cos42 = M g sin42

    Solve for Fn

    Fn = M g (cos42 + sin42*tan42) = 52.7 N
    W = 39.2 N
    b) F = 35.3 N

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