Two window washers Bob and Joe are on a 300mlong 340N scaffo

Two window washers, Bob and Joe, are on a 3.00-m-long, 340-N scaffold supported by two cables attached to its ends. Bob weighs 780 N and stands 1.00 m from the left end, as shown in the figure below. Two meters from the left end is the 500-N washing equipment. Joe is 0.500 m from the right end and weighs 800 N. Given that the scaffold is in rotational and translational equilibrium, what are the forces on each cable?

Solution

800(.5) + 500(1) + 780(2) = 3Tr
(400 + 500 + 1560) / 3 = Tr
Tr = 820 N
820 + 340/2 = 990 N = right side

(780(1) + 500(2) + 800(2.5))/3 =Tl
Tl = 1260 N
1260 + 340/2 = 1430 N = left side