Question 156: Oscillations

Question

If $$x,$$ $$v$$ and $$a$$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $$T,$$ then, which of the following does not change with time?

Accepted Answer

For an $$SHM,$$ the acceleration $$a =  - {\omega ^2}x$$ where $${\omega ^2}$$ is a constant. Therefore $${a \over x}$$ is a constant. The time period $$T$$ is also constant. Therefore $${{aT} \over x}$$ is a constant.

Answer

$$aT/x$$

Answer

$$aT + 2\pi v$$

Answer

$$aT/v$$

Answer

$${a^2}{T^2} + 4{\pi ^2}{v^2}$$

Oscillations

If $x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T,$ then, which of the following does not change with time?

Choose the correct answer: