Q. Length of a simple pendulum is $l$ and its maximum angular displacement is $\theta,$ then its maximum K.E. is
A) $mgl\sin\theta$
B) $mgl(1 + \sin\theta)$
C) $mgl(1 + \cos\theta)$
D) $mgl(1 - \cos\theta)$
Explanation
(d) Kinetic energy will be maximum at mean position.
From law of conservation of energy maximum kinetic energy at mean position = Potential energy at displaced position
$\Rightarrow K_{\max} = mgh = mgl(1 - \cos\theta)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.