EXPERIMENT NO.12
OBJECTIVE
To calculate the time period of Compound pendulum and compare it with the theoretical
values.
APPARATUS:
Balancing Pin, Rod, Pendulum Bob, Pin for Thread
Figure 12.1: Compound Pendulum
THEORY:
A rigid body with distributed mass able to freely pivot
about a horizontal axis which does not coincide with the center of gravity is
called a Compound Pendulum.
When the
dimensions of the suspended body are not negligible in comparison with the
distance from the axis of suspension to the center of gravity, the pendulum is
called a compound, or physical, pendulum. Any mass mounted upon a horizontal
axis so as to vibrate under the force of gravity is a compound pendulum. The
motion of such a body is an angular vibration about the axis of suspension.
Figure 12.2: Schematic Diagram of
Compound Pendulum
PROCEDURE:
1.
Measure the mass of the bob and Steel Rod.
2.
Find the center of gravity of Rod.
3.
Mount the knife edge on the Rod and insert
in the slot of the wall mount pendulum apparatus.
4.
Measure all the above define parameters (L,
h, m, M) according to diagram.
5.
Then tight the mass (bob) on the other end
of the Rod.
6.
Take the bob from its original position to
point B or C.
7.
Take a stop watch to measure total time of
oscillation.
8.
Released the bob and instantly start the
stop watch.
9.
Note the time of 20 oscillations and
calculate the time period by using formula
Time Period = (Time of
total Oscillation) / Total number oscillations (This time period will be
value).
10.
Repeat the procedure 2 to 3 times and take
the average time period.
11.
Change the positions of the mass and knife edge
on the Rod and repeat the same procedure.
12.
Compare it with theoretical values.
• Calculate the time period of Compound Pendulum analytically by using formula;
• Compare
the results of time period of Compound Pendulum obtained experimentally and
analytically.
PRECAUTIONS:
1. The
bob of pendulum should be displaced with a small angle.
2. The
amplitude of the oscillation of a simple pendulum should be small.
3. Fans
should be switched off to reduce the air resistance.
4. The
simple pendulum should be oscillating in a vertical plane.
CONCLUSION:
Discuss
·
The comparison of the results of time period
obtained experimentally and analytically.
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