Question

A mass of 4.3 gm is attached to a spring of force constant 17 n/m. This mass spring system executes simple harmonic oscillations. Find out the frequency of external force which excites resonance in the system. Ignore mass of the spring.

Answer 1

This is the solution for the question

Answer 2

The frequency of external force which excites resonance in the system is 10 Hz.

Explanation:

Given that,

Mass, m =  4.3 g

Force constant, k = 17 N/m

We need to find the frequency of external force which excites resonance in the system. The frequency of external force is given by :

$f=\dfrac{1}{2\pi}\sqrt{\dfrac{k}{m}}$

$f=\dfrac{1}{2\pi}\sqrt{\dfrac{17}{4.3\times 10^{-3}}}$

f = 10.00 Hz

So, the frequency of external force which excites resonance in the system is 10 Hz. Hence, this is the required solution.

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