 # Investigating the Oscillations of a Pendulum

comparative Essay
745 words
745 words Investigating the Oscillations of a Pendulum

Aim: -

To investigate the oscillations of a simple pendulum and find the

value of Â‘gÂ’, acceleration due to gravity, in the laboratory.

Apparatus: -

Retort stand with clamp

Pendulum bob

Piece of thread (â‰ˆ 110 cm) Stop watch

Two small wooden blocks metre

rule

Hypothesis and Theory:-

In this experiment the set up below is arranged. This is a simple

pendulum system which is a simple harmonic motion. In the figure below

consider a small mass m attached to the end of a length l of wire. The

other end is attached to a fixed point P and the mass oscillates along

the arc. Suppose the mass during the motion at a point B at an

instant, such that OB = y (displacement) and the angle at that moment

is Î¸ to PO. The downward force by the mass is mg so towards O it will

be horizontal component, that is, mg sin Î¸. The tension T by the

thread is balanced by the vertical component of the force by the bob.

So the only force acting is mg sin Î¸. Since Force= mass Ã—

acceleration.

-mg sin Î¸ = ma,

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#### In this essay, the author

• Considers a small mass m attached to the end of an length l of wire.
• Explains that the downward force by the mass is mg so towards o it will be î to po.
• Explains that if î is small, sin = y/l (as the angle in the summary).
• Explains how to plot a graph of t 2 against l and the slope of the graph will be =
• Advises that the length of the thread should be 100 cm. allow the pendulum to swing.
• Explains that the actual value of g is 9.8 m s -2, thus the absolute and percentage error.
• Explains how to evaluate the mean time, t, and periodic time t.