The displacement of a particle executing simple harmonic motion is given by,
$y = A_{0} + A s i n ω t + B c o s ω t .$
Then, the amplitude of its oscillation is given by

Question

The displacement of a particle executing simple harmonic motion is given by, y = A 0 + A s i n ω t + B c o s ω t . Then, the amplitude of its oscillation is given by

Aicharya · Accepted Answer

y = A 0 + A sin ω t + B cos ω t = A 0 + A 2 + B 2 · A A 2 + B 2 sin ω t + B A 2 + B 2 cos ω t = A 0 + A 2 + B 2 sin ω t + φ Amplitude = A 2 + B 2

The displacement of a particle executing simple harmonic motion is given by, y = A 0 + A s i n ω t + B c o s…

Solution