Investigation of the relationship between period and length for a simple pendulum and the determination of g

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Investigation of the relationship between period and length for a simple pendulum and the determination of g

* Introduction

A simple pendulum consists of a point mass 'm', suspended from a fixed point using a mass less ideal string of length 'l', such that it can move forth and back from its mean position. When the simple pendulum is set in motion, it moves back and forth periodically. One complete to and fro movement of a pendulum about its mean position is known as an oscillation or vibration. The time taken for one oscillation is known as the time period (T). The time it takes to make complete oscillation is called the frequency '' of the oscillation is the number of oscillation simple pendulum made in one second: = 1 / T. Here are the laws of a simple pendulum:

o The period of a simple pendulum of constant length is independent of its mass, size, shape or material.

o The period of a simple pendulum is independent of the amplitude of oscillation, provided it is small.

o The period of a simple pendulum is directly proportional to the square root of length