A window washer is standing on a scaffold supported by vertical ropes at each end. The scaffold weighs 200. N and is 3.00 m long. What is the tension in each rope when the 700. N worker stands 1.00 m from one end?

Respuesta :

Tension in ropes are 333.33 N and 566.67 N.

Explanation:

Refer the given figure showing the arrangement.

For having stability we have torque at A and B are zero.

        Sum of Torques at A = 0

        700 x 1 + 200 x 1.5 - Q x 3 = 0

                               3Q = 1000

                                  Q = 333.33 N

        Sum of Torques at B = 0

        200 x 1.5 + 700 x 2 - P x 3 = 0

                               3P = 1700

                                  P = 566.67 N  

Tension in ropes are 333.33 N and 566.67 N.

Ver imagen agaue

Tension in each rope, which supports the scaffold on which window washer is standing, are 333.33 N and 566.67 N.

What is tension in string due to hanging weight?

Tension is the pulling force carried by the flexible mediums like ropes, cables, and string. Tension in a body due to the weight of the hanging body is the net force acting on the body.

Let the force acting on the point B is O. The summation of the torque at the point A for the attached figure,

[tex]\sum \tau_A=0\\700\times1+200\times1.5-O\times3=0\\O=333.33\rm N[/tex]

Let the force acting on the point A is N. Now, the summation of the torque at the point for the attached figure,

[tex]\sum \tau_B=0\\700\times2+200\times1.5-N\times3=0\\N=566.67\rm N[/tex]

Hence, the tension in each rope, which supports the scaffold on which the window washer is standing, are 333.33 N and 566.67 N.

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