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March 27, 2017

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A man of mass 64.8 kg stands on a scaffold supported by a vertical rope at each end. The scaffold has a mass of 16.8 kg and is 3.9 m long. Suppose the man stands to the right from the middle of the scaffold that is a distance one sixth of the length of the scaffold. What is the tension in the right rope?

  • Physics - ,

    The man stands 3.9/6=0.65m to the right of the centre of the scaffold.
    Let the tensions be L and R respective for the left and right ropes.

    L.......16.8...64.8....R

    Sum moments about the left end:
    16.8*1.95+64.8*(1.95+0.65) - R*3.9 = 0

    Solve for R.

  • Physics - ,

    where is the 1.95 coming from?

  • Physics - ,

    1.95=3.9/2 (half of the length, at the centre of gravity of the plank).

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