A pendulum is formed by pivoting a long thin rodabout a point on the rod. In a series of experiments, the period ismeasured as a function of the distance x between the pivot pointand the rod’s center. (a) If the rod’s length is L = 2.20 m and itsmass is m= 22.1 g, what is the minimum period? (b) If x is cho- sen to minimize the period and then L is increased, does the periodincrease, decrease, or remain the same? (c) If, instead,m is increasedwithout L increasing, doesthe period increase, decrease, or remainthe 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.
A pendulum is formed by pivoting a long thin rod
about a point on the rod. In a series of experiments, the period is
measured as a function of the distance x between the pivot point
and the rod’s center. (a) If the rod’s length is L = 2.20 m and its
mass is m= 22.1 g, what is the minimum period? (b) If x is cho- sen to minimize the period and then L is increased, does the period
increase, decrease, or remain the same? (c) If, instead,m is increased
without L increasing, does
the period increase, decrease, or remain
the same?
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