Question

A particle moves on the X-axis is according to the equation $x=A+B\sin \omega t$. The motion is simple harmonic with amplitude:

• A. $A$
• B. $B$
• C. $A+B$
• D. $\sqrt{A^2+B^2}$

Answer 1

Answer: (B)

$B$

The equation $y=Bsin\left(wt\right)+A$ suggests that the particle is executing Simple Harmonic Motion about $A$ which is the mean position and the amplitude of oscillation of the SHM (about $A$) is equal to $B$.