A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 210 N and is 2.80 m long. What is the tension in each rope when the 710 N worker stands 1.80 m from one end?

smaller and larger.

4 answers

Draw a sketch:

T1================210N======710N=======T2

Take moments about the left:
T2*2.8 - 210*1.4 - 710*1.8 = 0
Solve for T2

Take moments about the right:
-T1*2.8 + 210*1.4 + 71-*(2.8-1.8) = 0
Solve for T1
i keep coming up with the wrong answer for T1. i am getting 358.57 and its wrong.
Unless your question takes T2 as the first answer, which is supposed to be (710+210)-358.57 = 561.43.

If that's not the case, verify
1. instruction for rounding of answers (to the nearest newton, two decimals, etc.)
2. order of the answers (which should add up to 710+210.
3. Check that the numbers posted correspond to the questions on the computer.
4. Sometimes after a wrong answer, the qustion gets modified by the computer. Make sure that did not happen.
-210 (1.4)<--half of 2.80<-710 (1.8) + T2 (2.8)=

-294 - 1572 + 2.8 T2=0
-1866 = -2.8 T2
-1866 = T2
_____
2.8

6666= T2

now solve for T1

T1+ T2= weigh1g+ weight 2g
we move the T2 answer to right side
T1= 710 + 210 - 666
T1= 254 N