Consider a simple pendulum consisting of a mass m supported by å massless rigid Fod shown in the fig. (a) Show that the potential energy of the pendulum is given by V0=mgl 1- cos 0
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.
Please answer me this question.
![Consider a simple pendulum consisting of a mass m supported by a massless rigid rod of length I as
shown in the fig.
(a) Show that the potential energy of the pendulum is given by V0 =mgl 1- cos e
(b) Sketch the potential energy function V0
the energy conservation, also sketch the velocity-position trajectory for energies
i) E>2 mgl and ii) E<2 mgl
(c) Discuss the motion of the pendulum starting with the initial conditions 0=-n/2 and zero velocity.
in the range -AsOsn
on the scale given below. Using](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F666f1e84-aedb-4b85-8daf-d7c104454d4d%2Faa3cb4a6-92c9-4ace-99c2-4394e2ad6aab%2Fnhoadt9_processed.jpeg&w=3840&q=75)
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