A body of mass 1 kg is made to oscillate in turn on springs on force constant 1, 4, 9, 16 N/m....

Question:

A body of mass {eq}\rm 1\ kg {/eq} is made to oscillate in turn on springs on force constant {eq}\rm 1,\ 4,\ 9,\ 16\ N/m {/eq}. Deduce the angular frequencies.

Spring-Mass Systems:

Spring-mass systems, at their simplest form, consist of a single mass connected to an ideal spring. The other end of the spring is connected to a wall. When the mass is perturbed from its equilibrium position, the spring can induce oscillatory motion onto it. The oscillatory motion falls under the category of "simple harmonic motion".

Answer and Explanation:

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Given:

  • {eq}\displaystyle \rm m = 1\ kg {/eq} is the mass
  • {eq}\displaystyle \rm k_1 = 1\ N/m {/eq} is the first spring constant
  • {eq}\displaystyle...

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Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.


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