Question

If x, v and a represent 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?

• A. $\frac{aT}{v}$
• B. aT + 2$\pi$n
• C. $\frac{aT}{x}$
• D. a2T2 + 4$\pi$2n2

Answer 1

Answer: (C)

$\frac{aT}{x}$

Answer 2

$\frac{aT}{x} = \frac{\omega^{2}xT}{x} = \omega^{2}T = \frac{4\pi^{2}}{T^{2}}T$ $\left( \because\omega = \frac{2\pi}{T} \right)$

$= \frac{4\pi^{2}}{T} = cons\tan t$