A taut string is tied down at both ends. Assume that the fundamental mode of oscillation of the string has a period T0. For each of the changes described below give the factor by which the period changes. For example, if the change described resulted in a period twice as long, you would put the number "2". Do not cumulate changes. That is, before each change, assume you are back at the original starting situation. (If your answer is not an integer, you can round it off to two sigfigs.) A. The string is replaced by one of twice the mass but of the same length. _________ B. The wavelength of the starting shape is divided by three. ________ C. The amplitude of the oscillation is doubled. ___________ D. The tension of the string is halved. ___________
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 taut string is tied down at both ends. Assume that the fundamental mode of oscillation of the string has a period T0. For each of the changes described below give the factor by which the period changes. For example, if the change described resulted in a period twice as long, you would put the number "2". Do not cumulate changes. That is, before each change, assume you are back at the original starting situation. (If your answer is not an integer, you can round it off to two sigfigs.)
- A. The string is replaced by one of twice the mass but of the same length. _________
- B. The wavelength of the starting shape is divided by three. ________
- C. The amplitude of the oscillation is doubled. ___________
- D. The tension of the string is halved. ___________
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