First slide

Simple hormonic motion

Question

The equation of the displacement of two particles making SHM are represented by $y_{1} = a \sin (ωt + ϕ) & y_{2} = acos (ωt)$ . Phase difference
between velocities of two particles is

Moderate

A

$\frac{π}{2} + ϕ$
B

$- ϕ$
C

$ϕ$
D

$ϕ - \frac{π}{2}$

Solution

$\begin{array}{l} v_{1} = \frac{{dy}_{1}}{dt} = a ω \cos (ω t + φ) \\ v_{2} = \frac{{dy}_{2}}{dt} = - a ω \sin (ω t); Δ ϕ = ϕ - \frac{π}{2} \end{array}$

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