Introductory Mathematics for Engineering Applications
Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Chapter 1, Problem 1P

A constant force F = 2   N is applied to a spring and the displacement x is measured as 0.2 m. If the spring force and displacement satisfy the linear relation F = k x , find the stiffness k of the spring.

Chapter 1, Problem 1P, A constant force F=2N is applied to a spring and the displacement x is measured as 0.2 m. If the

Expert Solution & Answer
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To determine

The stiffness k of the spring.

Answer to Problem 1P

The stiffness k of the spring is 10 N/m

Explanation of Solution

Given:

The constant force F=2 N is applied to a spring, the displacement of the spring is x=0.2 m and the linear relation of spring force and the displacement is F=kx.

Concept Used:

The relation of spring force and the displacement.

  F=kx ...... (1)

Calculation:

Substitute 2 N for F and 0.2 m for x in equation (1)

  2 N=k(0.2 m)

Rearrange for k

  k=2 N( 0.2 m)=10 N/m

Conclusion:

Thus, the stiffness k of the spring is 10 N/m

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Chapter 1 Solutions

Introductory Mathematics for Engineering Applications

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