A jack-in-the-box undergoes simple harmonic motion after it pops out of its box

Question

A jack-in-the-box undergoes simple harmonic motion after it pops out of its box with a frequency of 3.8 Hz and an amplitude of 13 cm.

(a) What is the maximum acceleration experienced by the jack-in-the-box? 74 Correct: Your answer is correct. m/s2

(b) If the mass of the jack-in-the-box is 0.160 kg, what is the maximum net force it experiences during the motion? 11.84 Correct: Your answer is correct. N

(c) If the initial phase angle is /3 rad, write an equation that describes the net force as a function of time. (Assume SI base units and the angles are in radians. Do not include units in your answer. Use the following as necessary: t.)

F(t) = ?

Explanation / Answer

F(t) = Fmax*cos(wt+phi)

Force was oscillates between Fmax to -Fmax

and phi is the pahse = pi/3

w is the angular frequency w= 2*pi*f =

then
F(t) = 11.84*cos(2*pi*f*t + pi/3) = 11.84*cos(23.87*t + 1.04)

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