Figure 1 is the velocity-versus-time graph of a particle in simple harmonic motion

Physics Jan 21, 2021

Figure 1 is the velocity-versus-time graph of a particle in simple harmonic motion. What is the amplitude of the oscillation? Express your answer to three significant figures and include the appropriate units. What is the phase constant? Express your answer in radians as positive number. Express your answer to three significant figures. What is the position at t = 0 s? Express your answer to three significant figures and include the appropriate units.

Expert Solution

a) w = 2pi/T = 2pi/12 = 0.524 rad/s

Here maximum velocity = 60 cm/s

so, v = Aw =====> 60 = A*0.524 ======> A = 115 cm

b) v(t) = -?A*sin(?t + ?0)

30 = -0.524*115*sin(w*0 + ?0)

-0.4978 = sin(?0)

?0 = arcsin(-0.4978) = -0.521

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