Simple Pendulum Experiment

- Aim of Experiment

Determination of the Acceleration Due to Gravity by Means of a Simple Pendulum.

- Apparatus

Apparatus:
		



1- Small pendulum bob of lead or brass
tied to a length(l m) of cotton threaded
through a supporting cork or clamped
between two small metal plates.

2- Retort-stand.


3- clamp.




Apparatus:

4- meter rule.

Apparatus:

5- stop-watch.

- Theory of Experiment

Theory of Experiment:

- The ideal simple pendulum consists of
a point mass suspended by a weightless
string For a small angular displacement the
restoring force acting on the point mass
is given by:

F = - mg sinө = -mg ө
(since ө is very small)= mg x/L
Where x is the displacement,
L is the length of a pendulum.

- Hence the equation of motion
is given by:

g(x/L) = d²x/dt².
- This is an equation of simple harmonic
motion with periodic time T = 2π√L/g

- Procedure

Procedure:

1- Measure the length of the pendulum this
the distance from a fixed hang point to
the center of the suspended bob.
2- The pendulum is given a small
displacement.
3- The time of 20 swings, measured
against a fixed mark on the bench,is taken,
and the periodic time(T) found.
4- This is repeated with different lengths (L)
of the pendulum.
5- Repeat steps 1-4 at least three times
for each length and tabulate your results.
6- A graph is drawn between Tav2 and
L from which an average value of T2/l
is obtained to determine g.