A window washer is standing on a scaffold?

A window washer is standing on a scaffoldsupported by a vertical rope at each end. Thescaffold weighs 145 N and is 3.02 m long.Assume the 675 N worker stands 1.28 m fromone end of the scaffold.What is the force on the rope farther fromthe worker?Answer in units of NWhat is the force on the closer rope?Answer in units of N.

Answer:

461.40N at the nearer end and 358.60N farther end.

Force from scaffold alone = (145/2) = 72.5N. on each rope. 675/ ((3.02/1.28)) + 1) = 200.93N. on the further rope, and (675 - 200.93) = 474.07N. on the nearer. Total tension further rope = (200.93 + 72.5) = 273.43N. Total tension nearer rope = (474.07 + 72.5) = 546.57N.

Analyzing the force diagram Forces in the Upward direction:...T1,T2 (tension of the ropes) Forces in the Downward direction...M1g (scaffold), M2g (man) Fnet = 0 T1 + T2 = M1g + M2g Analyzing the moments about the center T1 is nearest man T1(1.51) =M2g(1.51 - 1.28) + T2(1.51) T1 + T2 = (675 + 145)= 820 T1 - T2 = ((675)(1.51 - 1.28))/1.51 = 102.81 sum the two equations 2T1 = 922.81 T1 = 461.5 N T1 + T2 = 820 T2 = 358.6 N