Laws of Pendulum - QS Study
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From the expression for the time period of oscillations of a pendulum the following laws are enunciated:

(i) The law of length: The period of a simple pendulum varies directly as the square root of the length of the pendulum.

T ∞ √ l

(ii) The law of acceleration: The period of a simple pendulum varies inversely as the square root of the acceleration due to gravity.

T ∞ 1 / √ g,

(iii) The law of mass: The time period of a simple pendulum is independent of the mass and material of the bob.

(iv) The law of amplitude: The period of a simple pendulum is independent of the amplitude provided the amplitude is small.