A spring has an unstretched length of 20 cm. A 100 g mass hanging from the spring stretches it to an equilibrium length of 30 cm.a. Suppose the mass is pulled down to where the spring’s length is 40 cm. When it is released, it begins to oscillate. What is the amplitude of the oscillation?A. 5.0 cm B. 10 cm C. 20 cm D. 40 cmb. For the data given above, what is the frequency of the oscillation?A. 0.10 Hz B. 0.62 Hz C. 1.6 Hz D. 10 Hzc. Suppose this experiment were done on the moon, where the free-fall acceleration is approximately 1/6 of that on the earth. How would this change the frequency of the oscillation?A. The frequency would decrease.B. The frequency would increase.C. The frequency would stay the same.
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 spring has an unstretched length of 20 cm. A 100 g mass hanging from the spring stretches it to an equilibrium length of 30 cm.
a. Suppose the mass is pulled down to where the spring’s length is 40 cm. When it is released, it begins to oscillate. What is the amplitude of the oscillation?
A. 5.0 cm B. 10 cm C. 20 cm D. 40 cm
b. For the data given above, what is the frequency of the oscillation?
A. 0.10 Hz B. 0.62 Hz C. 1.6 Hz D. 10 Hz
c. Suppose this experiment were done on the moon, where the free-fall acceleration is approximately 1/6 of that on the earth. How would this change the frequency of the oscillation?
A. The frequency would decrease.
B. The frequency would increase.
C. The frequency would stay the same.
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