Oscillation of pendulum
A simple pendulum is a setup in which a heavy point mass is suspended from rigid support by a weightless, inextensible, and completely flexible string.
Expression for the time period:
For an angular momentum, sin θ, so that
F = -mgsin θ
= -mgθ
= -( mg/l )y = -Ky
The time period of the simple pendulum is T=2π√L/g since Y = lθ. Only when the length of a simple pendulum () is small in comparison to the radius of the earth is this equation valid.
If a simple density rho
(ρ), the pendulum is constructed to swing in a density rho(ρ) liquid, its time period will rise in comparison to that of air, as shown by:
T=2π√L/(1- σ/ρ)
If the bob of a simple pendulum has positive charge q and the pendulum is placed in a uniform electric field E which is in vertically downward direction then the time period decreases.
T=2π√L/g+qe/m




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