A seesaw is a flat board that is balanced on a fulcrum (point of balance). When the weight at either end is equal, the seesaw is balanced and both ends are at the same height. When weight is added to either side, the balance will tilt in that direction. To prevent the balance from tipping, the location of the fulcrum must be moved to accommodate the difference in weights placed on each end. A playground equipment company wants to produce a seesaw that will be perfectly balanced when an adult and a child are on either end. The company estimates that an adult, on average, weighs four times as much as a child. The length of the seesaw is 10 feet.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 73P: A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = = 4.00...
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Point Crepresents a child seated at 0 on a number line below the seesaw. Point A represents an
adult seated on the opposite end at 10 on the number line.
1. Identify the ratio of the weight of C to the weight of A.
2. Set up a formula to find the weighted average of C and A.
3. Solve for the coordinate of the weighted average.
Transcribed Image Text:Point Crepresents a child seated at 0 on a number line below the seesaw. Point A represents an adult seated on the opposite end at 10 on the number line. 1. Identify the ratio of the weight of C to the weight of A. 2. Set up a formula to find the weighted average of C and A. 3. Solve for the coordinate of the weighted average.
A seesaw is a flat board that is balanced on a fulcrum (point of balance). When the weight at
either end is equal, the seesaw is balanced and both ends are at the same height. When weight is
added to either side, the balance will tilt in that direction. To prevent the balance from tipping, the
location of the fulcrum must be moved to accommodate the difference in weights placed on each
end.
A playground equipment company wants to produce a seesaw that will be perfectly balanced
when an adult and a child are on either end. The company estimates that an adult, on average,
weighs four times as much as a child. The length of the seesaw is 10 feet.
C
A
{
01 2 3 4 5 6 7 8 9 10
Transcribed Image Text:A seesaw is a flat board that is balanced on a fulcrum (point of balance). When the weight at either end is equal, the seesaw is balanced and both ends are at the same height. When weight is added to either side, the balance will tilt in that direction. To prevent the balance from tipping, the location of the fulcrum must be moved to accommodate the difference in weights placed on each end. A playground equipment company wants to produce a seesaw that will be perfectly balanced when an adult and a child are on either end. The company estimates that an adult, on average, weighs four times as much as a child. The length of the seesaw is 10 feet. C A { 01 2 3 4 5 6 7 8 9 10
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