We usually assume that the mass of the pendulum arm is negligible compared to the mass hung from it. But if not negligible, does the mass of the string increase or decrease the period of motion? (Hint: consider the equivalent force diagrams shown. How does including the string's mass affect the center of mass of the system? What happened to the period T in our experiment when the pendulum's length was shortened?). a. The period decreases. b. The period increases. c. The period stays 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.
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