The angular frequency of motion whose equation is 4 d^2 y d t^2 +… - Vidyadip

MCQ

The angular frequency of motion whose equation is $4\frac{{{d^2}y}}{{d{t^2}}} + 9y = 0$ is ($y =$ displacement and $t =$ time)

A
$2.25$
B
$0.44$
✓
$1.5$
D
$0.67$

✓

Answer

Correct option: C.

$1.5$

c
$4 \frac{d^{2} y}{d t^{2}}+9 y=0$

or $\frac{d^{2} y}{d t^{2}}=\frac{-9}{4} y$

Comparing with $SHM$ equation

$\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dt}^{2}}=-\omega^{2} \mathrm{y}$

$\therefore \omega^{2}=\frac{9}{4}$

$\therefore \omega=\frac{3}{2}$

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