Question

A particle moves on the X-axis according to the equation x = A + B sin ωt. The motion is simple harmonic with amplitude
(a) A
(b) B
(c) A + B
(d) $\sqrt{A^2+B^2}.$

Answer 1

(b) B

At t = 0,
Displacement $\left(x_0\right)$ is given by,
x₀ = A + sin ω(0) = A

Displacement x will be maximum when sinωt is 1
or,
x_m = A + B

Amplitude will be:
x_m $-$ x_o = A + B $-$ A = B