Determination of the modulus of rigidity of the material of a wire by the method of oscillations.

Experiment No : 05
Name of the Experiment:
Determination of the modulus of rigidity of the material of a wire by the method of oscillations (Dynamic Method).
Theory:
A cylindrical body is supported by a vertical wire of length / and radius r as shown in Fig. 5.1. The axis of the wire passes through its center of gravity. If the body is twisted through an angle and released, it will execute torsional oscillations about a vertical axis. Therefore, the motion is simple harmonic. If at any instant the angle of twist is 0, the moment of the torsional couple exerted by the wire will be
ηπρ
21
ηπε 4
=
21
is a constant and n is the modulus of rigidity
where
C
of the material of the wire.
T=2x√
Therefore, the time period for torsional oscillations is,

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