Question

Q. 3.the phase difference at any
position between instantaneous
velocity and displacement of a linear
harmonic oscillator is ..... radian
O (A) O
O (Β) π
O (C)/2
O (D) 2n​

Answer 1

SHM is represented by x=Asinωt

Then, the velocity and acceleration after differentiation will be

v=Aωcosωt

a=−Aω

2

sinωt

Now, we see displacement is in sinωt & velocity is in cosωt

⇒ Phase difference between x & v=π/2 rad

Similarly, we see velocity in cosωt & acceleration in sinωt

⇒ Phase difference between v & a=π/2rad

Thus, we can conclude that the phase difference between x & a=π rad.

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