Concept explainers
a.
Tofindthe work done in compressing the spring in the first half inch.
a.
Answer to Problem 30E
The work done in compressing the spring in the first half inch is
Explanation of Solution
Given information:
Given a
Formula:
Hooke’s Law for springs states that the force it takes to stretch or compress a string x units from its natural length is given by
Hooke’s Law for springs states that the force it takes to stretch or compress a string xunits from its natural length is given by
Given a
Here
The work done in compressing the spring in the first half inch is given by,
Therefore, the work done in compressing the spring in the first half inch is
b.
To find the work done in compressing the spring in the second half inch.
b.
Answer to Problem 30E
The work done in compressing the spring in the first half inch is
Explanation of Solution
Given information:
Given a
Formula:
Hooke’s Law for springs states that the force it takes to stretch or compress a string xunits from its natural length is given by
Hooke’s Law for springs states that the force it takes to stretch or compress a string xunits from its natural length is given by
Given a
Here
The work done in compressing the spring in the second half inch is given by,
Therefore, the work done in compressing the spring in the first half inch is 3750 lb.in.
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
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