A particle executing simple harmonic motion along y axis .its motion is described by the equation y=Asinwt+B.the amplitude of the shm is

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Solution

$y = A s i n w t + B$
$y - B = A s i n w t$
$y - B = 0, y = B ∴ o n l y m e a n p o s i t i o n s h i f t s b u t a m p l i t u d e r e m a i n s t h e s a m e .$

$w h e r e B i s t h e m e a n p o s i t i o n a b o u t w h i c h i t p e r f o r m S H M,$
$∴ a m p l i t u d e = A$

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A particle executing simple harmonic motion along y axis .its motion is described by the equation y=Asinwt+B.the amplitude of the shm is

y=Asinwt+By−B=Asinwty−B=0,y=B∴onlymeanpositionshiftsbutamplituderemainsthesame. whereBisthemeanpositionaboutwhichitperformSHM,∴amplitude=A

$y = A s i n w t + B$
$y - B = A s i n w t$
$y - B = 0, y = B ∴ o n l y m e a n p o s i t i o n s h i f t s b u t a m p l i t u d e r e m a i n s t h e s a m e .$

$w h e r e B i s t h e m e a n p o s i t i o n a b o u t w h i c h i t p e r f o r m S H M,$
$∴ a m p l i t u d e = A$