# A 100 coil spring has a spring constant of 670 N / m. It is cut into four shorter springs, each...

## Question:

A {eq}100 {/eq} coil spring has a spring constant of {eq}670 \ N / m {/eq} . It is cut into four shorter springs, each of which has {eq}25 {/eq} coils. One end of a {eq}25 {/eq} coil spring is attached to a wall. An object of mass {eq}38 \ kg {/eq} is attached to the other end of the spring, and the system is set into horizontal oscillation.

(a) What is the angular frequency of the motion?

## Spring-mass System:

When the spring-mass system is set into the simple harmonic motion then the angular frequency of the oscillation depends upon the spring constant as well as a mass attached to the spring but it does not depend upon the amplitude of oscillation. For springs, higher is the number of coils in the spring, smaller is the force required to compress the spring.

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{eq}\textbf {Given data:} {/eq}

• Spring constant of the spring {eq}K=670 \ N/m {/eq}
• Mass of the object is {eq}m=38 \ Kg {/eq}
• {eq}\omega {/eq}...

Practice Applying Spring Constant Formulas

from

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.