Concept explainers
Determine the stiffness kT of the single spring such that the force F will stretch it by the same amount s as the force F stretches the two springs. Express kT in terms of stiffness k1, and k2 of the two springs.
The stiffness
Answer to Problem 17P
The stiffness
Explanation of Solution
Given information:
- The force F will stretch it by the same amount s as the force F stretches the two springs.
Write the magnitude of force exerted on a linearly elastic spring in an unstretched position.
Here, the stiffness of the spring is k and the stretch of the spring is s.
Write the stretch value for two springs.
Here, the stretch of the first spring is
Write the equation for the magnitude of force exerted on a linearly elastic spring 1.
Here, the stiffness of the spring 1 is
Write the equation for the magnitude of force exerted on a linearly elastic spring 2.
Here, the stiffness of the spring 2 is
Conclusion:
Substitute
Thus, the stiffness
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Chapter 3 Solutions
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