Question

An object moves in simple harmonic motion with amplitude 11m and period 4 minutes. At time t = 0 minutes, its displacement d from rest is -11m, and initially, it moves in a positive direction. Give the equation modeling the displacement d as a function of time t.d = ?

Answer 1

Answer:

Explanation:

Angular velocity ω = 2π / T = 2 x 3 . 14 / (4 x 60 ) = .026 rad / s.

d = D Sin ( ωt + θ )  where  D = amplitude = 11 m θ = initial phase.

-11 = 11 sin ( 0 + θ ) = sin θ = -1 , θ = - π /2

So, d = D Sin ( ωt - θ )

         d = 11  Sin ( .026 t -  π /2  ) is the required equation.