A cable weighing 2 lb/ft is 16 ft long. If a 20-lb weight is attached to the end, find the work done in winding up the chain.
To find the work done in winding up the chain, we need to calculate the total force exerted and the distance over which the force is applied.
First, let's calculate the weight of the cable itself. The cable weighs 2 lb/ft, and it is 16 ft long. So, the weight of the cable is:
Weight of cable = 2 lb/ft * 16 ft = 32 lb
Next, let's calculate the total weight attached to the end of the cable. A 20-lb weight is attached to the end.
Total weight = Weight of cable + Weight attached = 32 lb + 20 lb = 52 lb
Now, we have the total weight attached to the end of the cable.
The work done in winding up the chain can be calculated by multiplying the total weight by the distance over which it is lifted.
The distance over which the weight is lifted is the length of the cable, which is 16 ft.
Work done = Total weight * Distance lifted = 52 lb * 16 ft = 832 ft-lb
So, the work done in winding up the chain is 832 ft-lb.