JEE MAIN - Physics (2003 - No. 44)
A body executes simple harmonic motion. The potential energy $$(P.E),$$ the kinetic energy $$(K.E)$$ and total energy $$(T.E)$$ are measured as a function of displacement $$x.$$ Which of the following statements is true ?
$$K.E$$ is maximum when $$x=0$$
$$T.E$$ is zero when $$x=0$$
$$K.E$$ is maximum when $$x$$ is maximum
$$P.E$$ is maximum when $$x=0$$
Förklaring
$$K.E. = {1 \over 2}m{\omega ^2}\left( {{a^2} - {x^2}} \right)$$
When $$x=0,$$ $$K.E$$ is maximum and is equal to $${1 \over 2}m{\omega ^2}{a^2}.$$
When $$x=0,$$ $$K.E$$ is maximum and is equal to $${1 \over 2}m{\omega ^2}{a^2}.$$