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>>Oscillations
>>Simple Harmonic Motion
>> $The equation of motion of a particle exe$

Question

The equation of motion of a particle executing SHM is $(\frac{d ^{2} x}{d t ^{2}}) + k x = 0$ . The time period of the particle will be ?

A

$\frac{2 π}{k}$

B

$2 π$

C

$2 π k$

D

$2 π k$

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Updated on : 2022-09-05

Solution

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Correct option is A)

The equation of motion,

$\frac{d ^{2} x}{d t ^{2}} + k x = 0$

$a = - k x$

$ω^{2} = k$ ( $a = - ω^{2} x$ )

$ω = k$

$\frac{2 π}{T} = k$

Time period,

$T = \frac{2 π}{k}$

The correct option is A.

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