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Q.1 If a positively charged pendulum is palced in a uniform horizontal electric field with chare q and mass m and string length l .Then find its angular velocity when it reaches the mean position if released fron an angle of 45 degreea...

Q.1 If a positively charged pendulum is palced in a uniform horizontal electric field with chare q and mass m and string length l .Then find its angular velocity when it reaches the mean position if released fron an angle of 45 degreea...

Grade:12

1 Answers

Eshan
askIITians Faculty 2095 Points
3 years ago
568-1632_horizontalforce.png
From the work-energy theorem,

Loss in gravitational potential energy= Work done against horizontal force+Gain in kinetic energy

\implies mg(1-cos45^{\circ})=qE(lsin45^{\circ})+\dfrac{1}{2}I\omega^2

\implies mg(1-\dfrac{1}{\sqrt{2}})=\dfrac{qEl}{\sqrt{2}}+\dfrac{1}{2}I\omega^2
Ifor the pendulum isml^2.

Solve the above equation will give the angular velocity\omegaat the bottom most point.

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