First slide

Simple harmonic motion

Question

The displacement time graph of an oscillating particle is as shown in the diagram. The equation of motion of the particle is

Easy

A

$x = 5 \sin (5 t)$
B

$x = 5 \sin (\frac{2 π}{5} + \frac{π}{2})$
C

$y = 5 \sin \frac{π}{2} (1 t - 1)$
D

$y = 5 \sin (\frac{5 π}{2} t + \frac{π}{2})$

Solution

The equation of simple harmonic motion is given by $x = A \sin (ω t + ϕ)$ . Using the value of A = 5 m, $ω = \frac{2 π}{5}$ and $ϕ = \frac{π}{2}$ , we get $x = 5 \sin (\frac{2 π}{5} t + \frac{π}{2})$

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