HC Verma - Concepts of Physics Part 1

Book: HC Verma - Concepts of Physics Part 1

Chapter: 12. Simple Harmonic Motion

Subject: Physics - Class 11th

Q. No. 7 of Objective I

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The motion of a particle is given by x = A sin ωt + B cos ωt. The motion of the particle is

As x given in the question satisfies the simple harmonic motion equation

the above equation in question is a simple harmonic motion.

And can be represented as

Where , δ is the phase difference and .

And ,

In which can also be represented as,

δ can be written as

And becomes

Hence, amplitude becomes.

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