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A vertical scale on a spring balance reads from 0 to 220 N. The scale has a length of 15.0 cm...

Question:

A vertical scale on a spring balance reads from 0 to 220 N. The scale has a length of 15.0 cm from the 0 to 220 N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.45 Hz.

Ignoring the mass of the spring, what is the mass m of the fish?

Spring-mass Oscillation:

The simple harmonic motion is nothing but the periodic motion of the spring-mass system and it is described by the frequency of oscillation and period of oscillation of the spring-mass system. The frequency of the oscillation is the function of a concentrated mass attached at the end of the spring and stiffness constant of the spring.

Answer and Explanation: 1

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Given data:

  • Spring force {eq}F=\rm 220 \ N {/eq}
  • Length of the scale {eq}x=\rm 15 \ cm=0.15 \ m {/eq}
  • Frequency of oscillation {eq}f=\rm 2.45 \...

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Learn more about this topic:

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Spring-Block Oscillator: Vertical Motion, Frequency & Mass

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Chapter 11 / Lesson 5
11K

After watching this video, you will be able to explain how a spring-block oscillator is an example of simple harmonic motion. You will also be able to use an equation for a spring-block oscillator that relates the frequency and mass of the block.


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