A string is tight between an oscillator at one end and a pole at the other. The other end at the pole is not tied down and is free to move. The string has a mass of 4.9 g, a length of 0.70 m, a tension of 110 N, and oscillates with the second overtone. Find the frequency of the oscillation.
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
A string is tight between an oscillator at one end and a pole at the other. The other end at the pole is not tied
down and is free to move. The string has a mass of 4.9 g, a length of 0.70 m, a tension of 110 N, and oscillates
with the second overtone. Find the frequency of the oscillation.
Given:
The mass of the string is 4.9 g.
The length of the string is 0.7 m.
The tension in the string is 110 N.
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