Even though the motion of a simple pendulum is not simple harmonic motion when the amplitude of oscillation is large, gravity is still a conservative force, so the total energy will be conserved. A pendulum of mass 2kg and length 0.6 m is raised to an initial angular displacement of theta= 45 degrees and released. a. What is the total energy? b. What will be the angular velocity of the pendulum when it is at the angle = 30 degrees?
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.
Even though the motion of a simple pendulum is not
a. What is the total energy?
b. What will be the
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