A person is standing on a section of uniform scaffolding as shown in the figure.

Question

A person is standing on a section of uniform scaffolding as shown in the figure. The section of scaffolding is

in length, has a

mass and is supported by three ropes as shown. Determine the magnitude of the tension in each rope when a person with a weight of

is a distance

from the left end.

magnitude of T1     
Since the scaffolding is in equilibrium, we expect to use the first and second condition of equilibrium. Since the second condition of equilibrium involves torque, before starting the problem, see if you can write an expression for the torque in terms of the force producing the torque, the magnitude of the vector which locates the point of application of the force relative to the point about which we are taking the torques, and the angle between the direction of the force and the vector which locates the point of application of the force. In order to determine the torques, we have to establish the point about which we are going to determine the torques. What is a convenient choice for the point about which to determine the torques? Using this specified point, see if you can write a second condition of equilibrium statement that will allow you to express the tension T1 in terms of known quantities. N magnitude of T2
For the first response in this problem, you determined the tension T1 . Now that you know the value of the tension T1 , see if you can write a vertical first condition of equilibrium statement that will allow you to express T2 in terms of T1 and other known quantities. N magnitude of T3 N

Explanation / Answer

horizontal forces

T1COS40=T3

vertical forces

T1SIN40+T2=540+33*g

finding moment at starting point

540*0.7+33*9.8*(1.5/2)=T1sin40=620.55

T1=965.4 N

T1SIN40+T2=540+33*g

620.55+T2=863.4

T2=242.85 N

T1COS40=T3

T3=739.54 N

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