Figure 5.2 shows a spring undergoing simple har- monic motion. The points y Ao and y Ao are the endpoints of the spring's motion. Let y 0 be the equilibrium position with the mass attached to the spring. (a) At what point is the magnitude of the velocity the largest? (b) At which points is its velocity zero? (c) At which points is the magnitude of the acceleration the largest? (d) At which point is its acceleration zero? Explain your answers thoroughly. y = A。 0 y=0 Figure 5.2: Spring undergoing simple harmonic motion 35
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.
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Figure 5.2 shows a spring undergoing
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