First slide

Simple harmonic motion

Question

The x-t graph of a particle undergoing simple harmonic motion is shown below. The equation of the particle is given by

Easy

A

$x = 1 \sin (\frac{π}{2} t)$
B

$y = 1 \sin (\frac{π}{2} t)$
C

$y = 8 \sin (\frac{π}{4} t)$
D

$x = 1 \sin (\frac{π}{4} t)$

Solution

The equation of simple harmonic motion is given by $x = A \sin (ω t + ϕ)$ . Using the value of A = 1 cm and $ω = \frac{2 π}{T} = \frac{2 π}{8} = \frac{π}{4}$ , we get

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