STANDARD Physics Simple Harmonic Motion MCQ Question
The displacement of a particle varies with time according to the relation y = a sin ωt + b cos ωt.
The motion is oscillatory but not SHM.
The motion is SHM with amplitude a + b.
The motion is SHM with amplitude a² + b².
The motion is SHM with amplitude √(a² + b²).
Correct Answer
Detailed Explanation
Given y = a sin ωt + b cos ωt, let a = A cos φ and b = A sin φ. Then, y = A sin(ωt + φ), which is the equation of SHM with amplitude A = √(a² + b²).
Found an issue with this question?
Related Questions
More from
Assertion (A): The acceleration in simple harmonic motion is always directed towards the mean position. | Reason (R): In simple harmonic motion, accel...
What is the relationship between the driving frequency and the amplitude of an oscillator in Simple Harmonic Motion?
What happens to the mechanical energy of a damped oscillator during its motion?