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  4. A simple pendulum with a bob of mass m oscillates from A to C and back to A such that P B is H. If the acceleration due to gravity is g, then the velocity of the bob as it passes through B is

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Q. A simple pendulum with a bob of mass $m$ oscillates from $A$ to $C$ and back to $A$ such that $P B$ is $H$. If the acceleration due to gravity is $g$, then the velocity of the bob as it passes through $B$ isPhysics Question Image

AIPMTAIPMT 1995Oscillations

Solution:

Potential energy at $A$ (or $C$) = Kinetic energy at $B$.
Thus $ \frac{1}{2} mv_B^2 = mg H$
or $ v_b = \sqrt{ 2 g H} $