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>>Velocity and Acceleration in SHM
>> $The velocity of a particle in SHM at the$

Question

The velocity of a particle in SHM at the instant when it is $0.6$ cm away from the mean position is $4$ cm /sec. If the amplitude of vibration is $1$ cm then its velocity at the instant when it is $0.8$ cm away from the mean position is:

A

$2.25$ cm/s

B

$2.5$ cm/s

C

$3.0$ cm/s

D

$3.5$ cm/s

Medium

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Updated on : 2022-09-05

Solution

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Correct option is C)

$V = ω A^{2} - x^{2}$
$V_{1} = ω A^{2} - x^{2}$
$V_{1} = ω A^{2} - (0.6)^{2}$
$V_{2} = ω A^{2} - x^{2}$
$V_{2} = ω A^{2} - (0.8)^{2}$
$\frac{V _{1}}{V _{2}} = \frac{( 1 ^{2} - ( 0 . 6 ) ^{2}}{( 1 ^{2} - ( 0 . 8 ) ^{2}}$
$\frac{4}{V _{2}} = \frac{0 . 8}{0 . 6}$
$V_{2} = 3 c m / s e c$

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