Two identical simple pendulums are released from rest at different times, but from the same initial position. If both pendulums perform a simple harmonic motion, it is correct to state for these systems that the magnitude of the maximum acceleration of the motion of both pendulums will be equal. both pendulums will have different frequencies of oscillation. the pendulums will have the same phase angle. the amplitude of the motion of the pendulum that is released first will be greater.
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.
Two identical simple pendulums are released from rest at different times, but from the same initial position. If both pendulums perform a
- the magnitude of the maximum acceleration of the motion of both pendulums will be equal.
- both pendulums will have different frequencies of oscillation.
- the pendulums will have the same phase angle.
- the amplitude of the motion of the pendulum that is released first will be greater.
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