(b)Derive the expression for velocity executing simple harmonic motion.
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The velocity of the mass on a spring, oscillating in SHM, can be found by taking the derivative of the position equation: v(t)=dxdt=ddt(Acos(ωt+φ))=−Aωsin(ωt+ϕ)=−vmaxsin(ωt+φ). ... The maximum velocity occurs at the equilibrium position (x=0) when the mass is moving toward x=+A .
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