The displacement of a particle in motion is given by x = a sin ot + b cos ot meter where a, b and o are constants. Show that the motion is simple harmonic. If a b = 4 cm, o = 2 rad/s, find the period, maximum velocity and maximum acceleration. = 3 cm, %3D

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The displacement of a particle in
motion is given by x= a sin ot + b cos ot meter
where a,
X =
b and o are constants. Show that the
motion is simple harmonic. If a
= 3 cm,
3 ст,
b = 4
cm, o = 2 rad/s, find the period, maximum
%3D
velocity and maximum acceleration.
Transcribed Image Text:The displacement of a particle in motion is given by x= a sin ot + b cos ot meter where a, X = b and o are constants. Show that the motion is simple harmonic. If a = 3 cm, 3 ст, b = 4 cm, o = 2 rad/s, find the period, maximum %3D velocity and maximum acceleration.
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