Explain all the laws of simple pendulum and with formula and example.
Answers
Explanation:
Pendulums, like masses on a spring, are examples of simple harmonic oscillators: There's a restoring force that increases depending on how displaced the pendulum is, and their motion can be described using the simple harmonic oscillator equation θ(t) = θmaxcos (2πt/T) in which θ represents the angle between the string and the vertical line down the center, t represents time and T is the period, the time necessary for one complete cycle of the pendulum's motion to occur (measured by 1/f), of the motion for a pendulum.
θmax is another way to define the maximum the angle oscillates during the pendulum's motion and is another way of defining the pendulum's amplitude. This step is explained below under the section "Simple Pendulum Definition."
Another implication of the laws of a simple pendulum is that the period of oscillation with constant length is independent of size, shape, mass and material of the object on the end of the string. This is shown clearly through the simple pendulum derivation and the equations that result.