First slide

Simple harmonic motion

Question

A particle moves on the axis according to the equation, $x = x_{o} S i n 2 ω t$ . The motion is simple harmonic

Moderate

A

$w i t h a m p l i t u d e x_{o} / 2$
B

$w i t h a m p l i t u d e 2 x_{o}$
C

$w i t h t i m e p e r i o d π / ω$
D

$w i t h t i m e p e r i o d 2 π / ω$

Solution

$I f, x = A \sin w t h e r e A = a m p l i t u d e a n d T = \frac{2 π}{ω} A s p e r q u e s t i o n, x = A \sin 2 ω t H e n c e, T' = \frac{2 π}{2 ω} = \frac{π}{ω}$

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