A mass moves back and forth in simple harmonic motionwith amplitude A and period T. (a) In terms of T, how much timedoes it take for the mass to move through a total distance of 2A?(b) How much time does it take for the mass to move through atotal distance of 3A?
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 mass moves back and forth in simple harmonic motion
with amplitude A and period T. (a) In terms of T, how much time
does it take for the mass to move through a total distance of 2A?
(b) How much time does it take for the mass to move through a
total distance of 3A?
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