5. A pair of hoop earrings is in the form of peace signs and each earring can be made to oscillate withsimple harmonic motion about the point where the earring is attached to the hook that goes throughthe ear lope. The earrings are made of cylindrical silver wire having a density of 10.2 g/cm3and adiameter of 0.15 cm. Each earring can be thought of as consisting of a ring that is 1.5 cm in diameter, acentral vertical rod that is 1.2 cm in length and two diagonal rods, each 0.6 cm in length as shown in thediagram above. The distance from the pivot point of the earring to the center of mass of each diagonalrod is 0.975 cm. Based on this information, determine the period of this physical pendulum.
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.
5. A pair of hoop earrings is in the form of peace signs and each earring can be made to oscillate with
the ear lope. The earrings are made of cylindrical silver wire having a density of 10.2 g/cm3
and a
diameter of 0.15 cm. Each earring can be thought of as consisting of a ring that is 1.5 cm in diameter, a
central vertical rod that is 1.2 cm in length and two diagonal rods, each 0.6 cm in length as shown in the
diagram above. The distance from the pivot point of the earring to the center of mass of each diagonal
rod is 0.975 cm. Based on this information, determine the period of this physical pendulum.
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