A pendulum has an oscillation period T which is assumed todepend on its length L , bob mass m , angle of swing θ , andthe acceleration of gravity. A pendulum 1 m long, with abob mass of 200 g, is tested on earth and found to have aperiod of 2.04 s when swinging at 20 ° . ( a ) What is its periodwhen it swings at 45 ° ? A similarly constructed pendulum, with L = 30 cm and m = 100 g, is to swing on the moon ( g =1.62 m/s 2 ) at θ = 20 ° . ( b ) What will be its period?
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 has an oscillation period T which is assumed to
depend on its length L , bob mass m , angle of swing θ , and
the acceleration of gravity. A pendulum 1 m long, with a
bob mass of 200 g, is tested on earth and found to have a
period of 2.04 s when swinging at 20 ° . ( a ) What is its period
when it swings at 45 ° ? A similarly constructed pendulum, with L = 30 cm and m = 100 g, is to swing on the moon ( g =
1.62 m/s 2 ) at θ = 20 ° . ( b ) What will be its period?
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