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A spring has damping constant 14, and a force of 12 N is required to keep the spring stretched...

Question:

A spring has damping constant 14, and a force of 12 N is required to keep the spring stretched 0.5 m beyond its natural length. Find the mass that would produce critical damping.

Hooke's Law:

Hooke's law is a physical law describing the relation between the force and the change in the length of a spring due to this force. This law states that the mentioned force varies linearly with the change in the length with the spring stiffness as the proportionality constant.

Answer and Explanation:

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Hooke's law is given by:

{eq}\displaystyle F = -kx {/eq}

where

  • {eq}F {/eq} is the restoring force
  • {eq}k {/eq} is the spring constant
  • {eq}k {...

See full answer below.


Learn more about this topic:

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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