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>> $A particle executing SHM has amplitude o$

Question

A particle executing SHM has amplitude of 4 cm., and its acceleration at a distance of 1 cm from the mean position is 3 cm $s^{- 2}$ . Its velocity be when it is at a distance of 2 cm from its mean position is

A

$2 c m / s$

B

$3 c m / s$

C

$4 c m / s$

D

$6 c m / s$

Medium

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Updated on : 2022-09-05

Solution

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Correct option is D)

$a = - ω^{2} x$
$ω^{2} = 3; ω = 3 \frac{r a d}{s e c}$
$v = ω A^{2} - x^{2}$
$= 3 \times 16 - 4$
$= 3 \times 12 = 6 c m / s$

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