Fill in the blank/s: An object that moves on a coordinate axis is in ___________ motion if its distance from the origin, d, at time t is given by either d = a cos ωt or d = a sin ωt. The motion has amplitude __________ the maximum displacement of the object from its rest position. The period of the motion is ________ and the frequency f is given by f = ________ where ω > 0.
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.
Fill in the blank/s: An object that moves on a coordinate axis is in ___________ motion if its distance from the origin, d, at time t is given by either d = a cos ωt or d = a sin ωt. The motion has amplitude __________ the maximum displacement of the object from its rest position. The period of the motion is ________ and the frequency f is given by f = ________ where ω > 0.
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