A particle in SHM is described by the displacement equation x(t)=Acos(ωt+θ). If the initial (t = 0) position of the particle is 1 cm and its initial velocity is π cm/s, what is its amplitude? The angular frequency of the particle is πs-1
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a
1 cm
b
2 cm
c
2 cm
d
2.5 cm
answer is B.
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Detailed Solution
Given, v=π cm/sec, x=1 cm and ω=πs−1using v=ωa2−x2 ⇒π=πa2−1⇒1=a2-1 ⇒a=2cm
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A particle in SHM is described by the displacement equation x(t)=Acos(ωt+θ). If the initial (t = 0) position of the particle is 1 cm and its initial velocity is π cm/s, what is its amplitude? The angular frequency of the particle is πs-1