College

Two window washers are on a scaffold. The scaffold weighs 70 lb, the man on the left weighs 180 lb, and the man on the right weighs 195 lb. The left support has a force of 310 lb in the cable. What is the force in the right cable?

Answer :

Final answer:

The force in the right cable supporting a scaffold with two window washers is found by subtracting the force in the left cable from the total weight. With a total weight of 445 lb and the left cable supporting 310 lb, the force in the right cable is calculated to be 135 lb.

Explanation:

To determine the force in the right cable supporting the scaffold with the two window washers, we will use the principles of static equilibrium.

Specifically, the forces acting on the scaffold must balance out, meaning that the sum of the forces vertically must equal zero since the scaffold is at rest and not moving vertically.

The scaffold system has a total weight that is the sum of the individual weights of the scaffold and the two men: 70 lb (scaffold) + 180 lb (left man) + 195 lb (right man) = 445 lb (total weight).

This total weight is supported by the two cables. Since we are given that the left support has a force of 310 lb in the cable, we can find the force in the right cable by subtracting the left cable's force from the total weight.

Force in the right cable = Total weight - Force in the left cable
Force in the right cable = 445 lb - 310 lb
Force in the right cable = 135 lb

Thus, the force in the right cable is 135 lb.

Answer:

F=135

The right support have 135N force

Explanation:

Summation of the forces along y axis equals zero.

Then, all the weights are acting downward except for the reaction acting upward.

Let the right support be F

-70-180-195+310+F=0

-135+F=0

F=135N. Upward