Introduction
Galileo was the first person to show that at every presumption place, all bodies big or small run freely when dropped, with the same (uniform) acceleration, if the resistance ascribable to air is negligible. The gravitative attraction of a body towards the center of the earth results in the same acceleration for all bodies at a especial(a) location, irrespective of their plenitude, shape or material, and this acceleration is called the acceleration due to gravity, g. The value of g varies from place to place, being greatest at the poles and the least at the equator. Because this value is large, bodies fall quickly to the push through of the earth when dropped, and so it is very difficult to measure their acceleration directly with considerable accuracy.
Therefore, the acceleration due to gravity is frequently arrestd by indirect methods for example, victimization a simplex pendulum or a compound pendulum. If we determine g using a simple pendulum, the result is not very straight because an ideal simple pendulum cannot be realized under testing ground conditions. Hence, you will use two different compound pendulums to determine the acceleration due to gravity in the laboratory, namely the Bar pendulum and the Katers pendulum.
Apparatus
Bar Pendulum
Small metal wedge
Spirit level
Telescope
arrest watch
Meter rod
Theory
A bar pendulum is the simplest form of compound pendulum. It is in the form of a rectangular bar (with its length much larger than the breadth and the thickness) with holes (for fixing the knife edges) drilled on its length at equal separation.
If a bar pendulum of mass M oscillates with a very small amplitude ? close a even axis passing through it, whence its angular acceleration (d2?/dt2) is proportional to the angular displacement ?. The relocation is simple harmonic and the time period T is given by
MglIT?2=, (1)
where I denotes the moment of inertia of the pendulum about the horizontal axis through its center of...If you want to get a full essay, order it on our website: Ordercustompaper.com
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