According to Energy conservation E bottom swing = E end swing
= > K = U
Kinetic energy is the power that an object generates while in motion. When an object is ready to accelerate, it is without a doubt necessary to apply specific forces. When force is applied, labor is required; nevertheless, after the work is done, energy is transferred to the object, causing it to move at a constant pace.
Kinetic energy (KE) is essentially the energy of all moving objects since it is the energy of a body in motion. It is one of the two primary types of energy, the other being potential energy, or the stored energy present in objects at rest.
Hence,
According to Energy conservation E bottom swing = E end swing
= > K = U
where , U = Mg (1 - cosθ)
l = Distance from the axis of rotation to the Centre of mass.
with small angle approximation i,e cosθ=1-1/2θ² θ in radian,
Thus the Kinetic Energy of the rod,
[tex]K = U = Mg (\frac{l}{2} )\frac{1}{2} \theta\)^{2}[/tex]
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