Question

The motion of a particle is expressed by the equation acc. a = – bx where x is displacement from equilibrium position and b is constant. What is the periodic time ?

• A. $\frac{2\pi}{b}$
• B. $\frac{2\pi}{\sqrt{b}}$
• C. $\frac{\pi}{b}$
• D. $2\sqrt{\frac{\pi}{b}}$

Answer 1

Answer: (B)

$\frac{2\pi}{\sqrt{b}}$

Answer 2

T = 2p$\sqrt{\frac{x}{acc.}}$ = 2p$\frac{1}{\sqrt{b}}$ = $\frac{2\pi}{\sqrt{b}}$