A particle in SHM is described by the displacement
equation x(t) = A cos ( 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
The correct option is
D
Given v = π cm/sec , x = 1 cm and ω=πs−1
using v = ω√a2−x2⇒π=π√a2−1
⇒1=a2−1⇒a=√2cm.