First slide

Simple harmonic motion

Question

If $x = asin (ωt + \frac{π}{6})$ and $x^{'} = acosωt$ , then what is the phase difference between the two waves

Moderate

A

$π / 3$
B

$π / 6$
C

$π / 2$
D

$π$

Solution

$x = asin (ωt + \frac{π}{6})$ and $x' = acosωt = asin (ω t + \frac{π}{2})$
$∴ Δφ = (ωt + \frac{π}{2}) - (ωt + \frac{π}{6}) = \frac{π}{3}$

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