First slide

Simple hormonic motion

Question

Which one of the following equations of motion represents simple harmonic motion?

Moderate

A

Acceleration = $- k_{0} x + k_{1} x^{2}$
B

Acceleration = $- k (x + a)$
C

Acceleration $= k (x + a)$
D

Acceleration = kx

Solution

Acceleration $\propto - (displacement)$
$A \propto - y$
A = - $ω^{2} y$
A = $- \frac{k}{m} y$
A = -ky
Here, y = x+a
$∴ acceleration = - k (x + a)$

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