SATHEE: Oscillations - Result Question 13

Oscillations - Result Question 13

16. The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

(a) $π$

(b) $0.707 π$

(d) $0.5 π$

[2007]

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Answer:

Correct Answer: 16. (d)

Solution:

(d) Let $y = A \sin ω t$

$v_{inst} = \frac{d y}{d t} = A ω \cos ω t = A ω \sin (ω t + π / 2)$

Acceleration $= - A ω^{2} \sin ω t$

$= A ω^{2} \sin (π + ω t)$

$∴ ϕ = \frac{π}{2} = 0.5 π$

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Oscillations - Result Question 13

16. The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

Answer:

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