You have a uniform beam of length L with a fulcrum x feet from one end (see figure). Objects with weights W1 and W2 are placed at opposite ends of the beam. The beam balances when W1x = W2(L ˆ’ x).

Find x such that each beam will balance.
(a) Two children weighing 50 pounds and 75 pounds are playing on a seesaw that is 10 feet long.
(b) A person weighing 200 pounds is attempting to move a 550-pound rock with a bar that is 5 feet long.

Transcribed Image Text:

W2 W1 -L-A