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8. In the procedure for measuring the frequency of oscillation, we are instructed to pull downward on the hanging mass about 10 cm. If we performed the experiment a second time and deliberately pulled down on the hanging mass by 15 cm, would our period change? Justify your answer. (5 points)

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Answer:

No

Explanation:

The frequency of oscillation of spring mass system is independent of its amplitude.

The frequency of oscillation will not change because it is not a function of amplitude.

What is the spring-mass system?

In a real spring-mass system, the spring has a non-negligible mass m. Since not all of the spring's length moves at the same velocity v as the suspended mass  M,  

To determine the frequency of oscillation, the effective mass of the spring is defined as the mass that needs to be added to  M to correctly predict the behaviour of the system.

For vertical springs, however, we need to remember that gravity stretches or compresses the spring beyond its natural length to the equilibrium position. After we find the displaced position

Thus the frequency of oscillation will not change because it is not a function of amplitude.

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