First slide

Periodic Motion

Question

Identify the function which represents a periodic motion.

Easy

A

$e^{- ωt}$
B

$e^{ωt}$
C

$\log_{e} (ωt)$
D

$sinωt + cosωt$

Solution

For periodic function
f(t) = f(t + T)
where T is time period of function
$\sin (ωt + 2 π) + \cos (ωt + 2 π) = sinωt + cosωt$

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