A simple pendulum exhibits simple harmonic motion
A pendulum moves in simple harmonic motion. If a graph of the pendulum's motion is drawn with respect with respect to time, the graph will be a sine wave. Pure tones are experienced when the eardrum moves in simple harmonic motion. In these cases "wave" refers not to the thing moving, but to the graph representing the movement.
The motion is likely not to be a simple harmonic motion as required for the formula for the period of a pendulum to work properly. The angle of swing is likely to reduce.
A simple pendulum, ideally consists of a large mass suspended from a fixed point by an inelastic light string. These ensure that the length of the pendulum from the point of suspension to its centre of mass is constant. If the pendulum is given a small initial displacement, it undergoes simple harmonic motion (SHM). Such motion is periodic, that is, the time period for oscillations are the same.
by using the formula we will calculat time period of simple harmonic motion
A simple pendulum exhibits simple harmonic motion
Simple harmonic motion
The motion of a simple pendulum will be simple harmonic when the angle of displacement from the vertical is small (less than 10 degrees) and the amplitude is also small.
Simple harmonic motion
Simple harmonic motion
The motion of a pendulum is periodic but not necessarily harmonic if the amplitude of the oscillation is large enough to cause deviations from simple harmonic motion due to gravitational forces.
A pendulum moves in simple harmonic motion. If a graph of the pendulum's motion is drawn with respect with respect to time, the graph will be a sine wave. Pure tones are experienced when the eardrum moves in simple harmonic motion. In these cases "wave" refers not to the thing moving, but to the graph representing the movement.
The motion of a pendulum is like that of a wave because both have regular oscillations back and forth. The swinging motion of a pendulum can be described in terms of its frequency and amplitude, similar to how a wave can be characterized by its frequency and wavelength. Additionally, both pendulum motion and wave motion involve the transfer of energy.
Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. Practical examples include a swinging pendulum or a mass-spring system. Periodic motion, on the other hand, refers to any repeated motion that follows the same path at regular intervals, such as the motion of a wheel rotating. So, while all simple harmonic motion is periodic, not all periodic motion is necessarily simple harmonic.
It is generally better to keep the amplitude of a simple pendulum small to ensure that the motion remains simple harmonic. If the amplitude is too large, the motion can become more complex and deviate from simple harmonic motion, making it more difficult to analyze and predict its behavior.
The pendulum of a clock exhibits simple harmonic motion, where it swings back and forth in a constant rhythm. A swing also exhibits simple harmonic motion as a person sits and moves back and forth, propelled by gravity and their own momentum.
Keeping the amplitude of a simple pendulum small helps maintain the simple harmonic motion, making the period of oscillation constant. For larger amplitudes, the motion becomes more complex and deviates from simple harmonic motion. Additionally, small amplitudes ensure that the restoring force is directly proportional to the displacement, as assumed in the theory of simple harmonic motion.