Concept explainers
a.
To find the force constant.
a.
Answer to Problem 8E
The force constant is 200 lb/inches.
Explanation of Solution
Given information: A spring has a natural length of 10 in. An 800-lb force stretches the spring to 14 inches.
Calculation:
As per the given problem,
Hence, The force constant is 200 lb/inches.
b.
To find the work done in stretching the spring from 10 inches to 12 inches.
b.
Answer to Problem 8E
400 in-lb work is done in stretching the spring from 10 in. to 12 in.
Explanation of Solution
Given information: A spring has a natural length of 10 in. An 800-lb force stretches the spring to 14 inches.
Calculation:
As per the given problem,
The amount of work can be calculated by solving the integral,
Hence, 400 in-lb work is done in stretching the spring from 10 inches to 12 inches.
c.
To find distance far beyond its natural length will a 1600-lb force stretch the spring.
c.
Answer to Problem 8E
8 inches far beyond its natural length will a 1600-lb force stretch the spring.
Explanation of Solution
Given information: A spring has a natural length of 10 inches. An 800-lb force stretches the spring to 14 inches.
Calculation:
As per the given problem,
The 1600 lb force will stretch the spring
Hence, 8 inches far beyond its natural length will a 1600-lb force stretch the spring.
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
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