Does the Period of Simple Harmonic Motion Depend on Spring Constant and Mass?

Thread starter tahayassen
Start date Jan 27, 2013
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Coefficient Harmonic Harmonic motion Mass Motion Period Simple harmonic motion Spring

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The period of simple harmonic motion (SHO) is determined by the spring constant (k) and the mass (m) of the oscillating body, as described by the equation ω=√(k/m). The amplitude of the motion does not affect the period, confirming that it remains constant regardless of how far the spring is stretched or compressed. The relationship between frequency (f) and angular frequency (ω) is established through the equation ω=2πf. Therefore, both the stiffness of the spring and the mass are critical factors in determining the period of SHO. Understanding these relationships is essential for analyzing oscillatory systems.

Jan 27, 2013

tahayassen

Period does not depend on amplitude. Correct?

I deduced this from the equations for simple harmonic motion:

ω=2πf
ω=√(k/m)

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Jan 28, 2013

G01

Science Advisor

Gold Member

Yes, you are correct.

The period of a SHO depends on the k value, i.e. stiffness of the spring, and the mass of the oscillating body as
\omega=\sqrt{\frac{k}{m}}

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