Problem: (Figure 1) is the position-versus-time graph of a particle in simple harmonic motion.(a) What is the phase constant?(b) What is the velocity at t=0s?(c) What is vmax?

FREE Expert Solution

a.) 

Angular frequency,

ω=2πT

T = 4 s

ω = 2π/4 = π/2 rad/s

For Simple harmonic motion,

x(t)=A cos (ωt +ϕ)

Solving for Φ,

A = 10 cm = 0.1 m

x(t) = 5 cm = 0.05

t = 0 s

ϕ=cos-1(x(t)A)-ωt=cos-1(0.050.1)-ω·0

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Problem Details

(Figure 1) is the position-versus-time graph of a particle in simple harmonic motion.

(a) What is the phase constant?
(b) What is the velocity at t=0s?
(c) What is vmax?