Physics You have a uniform beam of length L with a fulcrum x feet from one end (see figure). Objects with weights W 1 and W 2 are placed at opposite ends of the beam. The beam balances when W 1 x = W 2 ( L − 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 that is 5 feet long.
Physics You have a uniform beam of length L with a fulcrum x feet from one end (see figure). Objects with weights W 1 and W 2 are placed at opposite ends of the beam. The beam balances when W 1 x = W 2 ( L − 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 that is 5 feet long.
Solution Summary: The author calculates the value of x such that the beam will be balanced when two children weighing 50 and 75pounds are playing on a seesaw.
Physics You have a uniform beam of length
L
with a fulcrum
x
feet from one end (see figure). Objects with weights
W
1
and
W
2
are placed at opposite ends of the beam. The beam balances when
W
1
x
=
W
2
(
L
−
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 that is 5 feet long.
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