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>>Class 11
>>Physics
>>Oscillations
>>Velocity and Acceleration in SHM
>> $The equation for the displacement of a p$

Question

The equation for the displacement of a particle executing SHM is y = {5 sin 2 $π$ t }cm. Then the velocity at 3 cm from the mean position is

A

2 $π$ cm/s

B

3 $π$ cm/s

C

4 $π$ cm/s

D

8 $π$ cm/s

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Updated on : 2022-09-05

Solution

Verified by Toppr

Correct option is D)

$ω = 2 π r a d / s e c$
$A = 5 c m$
$x = 3 c m$
$v = ω A^{2} - x^{2}$
$= 2 π \times 25 - 9 = 8 π c m / s$

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