Physics, 27.01.2020 22:31 DivineMemes420

Asimple harmonic oscillator has a time period of 4s. if the mass of the system is 2kg, what is the force constant of the spring used?

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To solve this problem we will apply the concepts related to angular velocity as a function of the Period of a body. And with this angular velocity we will proceed to find the spring constant using the ratio of the mass and the square of the angular velocity. Our values are

T = 4s

m = 2kg

The angular frequency is defined as,

$\omega = \frac{2\pi}{T}$

Replacing,

$\omega = \frac{2\pi}{4}$

$\omega = \frac{\pi}{2} rad /s$

Now the constant of the spring is defined as,

$k = m\omega^2$

Replacing,

$k = (2)(\frac{\pi}{2})^2$

$k = \frac{\pi^2}{2}$

k = 4.93N/m

Therefore the force constant of the spring used is 4.93N/m

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Asimple harmonic oscillator has a time period of 4s. if the mass of the system is 2kg, what is the f...

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