Objects of equal mass are oscillating up and down in simple harmonic motion on two different...

Question:

Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 186 N/m. The motion of the object on spring 1 has 3 times the amplitude as the motion of the object on spring 2. The magnitude of the maximum velocity is the same in each case. Find the spring constant of spring 2.

Spring Force:

The type of force employed by the spring, when a certain amount of displacement occurs, is known as a spring force. The spring force is dependent on the spring constant and can be evaluated by Hooke's Law.

Answer and Explanation:

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Given data

  • The spring constant of spring 1 is {eq}{k_1} = 186\;{\rm{N/m}} {/eq}.


As it is given that, the amplitude of spring 1 is three times the...

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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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