The situation is shown in figure.
From right angled
The different forces acting on mass are:
(i) Weight mg in vertically downward direction. (ii) Tension T in the string along AS. Resolve the components of T as shown in figure. The component 7cosθ balances the weight mg of the mass and component 7sinθ provides the necessary centripetal force to whirl the mass.
Given,
Length of one end of wire, L = 1m
Angular velocity,=12 rad/s
Mass of the load, M=2kg
Therefore tension in the string is,
Increase in the length of the wire = (5.53 - 1) = 4.53 m
Given,
Weight of the load = 200 N
Elongation caused in the wire is given by,
To find - Elastic potential energy stored in the wire = ?
Therefore, energy stored in the wire is given by,
Length of the wire, l = 4m
Radius of the wire, r = 4 mm = 0.004 m
Force on the wire, F = 80
Strain = 0.01% = 0.0001
Now, using the formula of stress,
=
Young's modulus of the wire is given by,
Y =