Question 150: Oscillations

Question

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 ?

Accepted Answer

$$K.E. = {1 \over 2}m{\omega ^2}\left( {{a^2} - {x^2}} \right)$$
When $$x=0,$$ $$K.E$$ is maximum and is equal to $${1 \over 2}m{\omega ^2}{a^2}.$$

Answer

$$K.E$$ is maximum when $$x=0$$

Answer

$$T.E$$ is zero when $$x=0$$

Answer

$$K.E$$ is maximum when $$x$$ is maximum

Answer

$$P.E$$ is maximum when $$x=0$$

Oscillations

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 ?

Choose the correct answer: