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An ideal simple pendulum consists of a heavy point mass (called bob) tied to one end of a perfectly inextensible, flexible and weightless string. In practice, we make it by tying a metallic spherical bob to a fine cotton stitching thread.
The distance between the point of suspension of the pendulum and its Centre of Gravity (C.G.), which is the C.G. of the bob, is called the length of the simple pendulum. It is represented using the aphabet ( l ).
Time period is the time taken by the bob of the simple pendulum to make one complete oscillation. It is represented by the letter T.
The time period of a simple pendulum depends on the length of the pendulum (l) and the acceleration due to gravity (g), which is expressed by the relation,
For small amplitude of oscillations,
If we know the value of l and T, we can calculate the acceleration due to gravity, g at that place.
We can plot a graph between l and T2 by taking l along the X axis and T2 along the Y axis. The graph is a straight line.
From the graph,