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Description: A jack-in-the-box undergoes simple harmonic motion after it pops out of its box with a frequency of 3.2 Hz and an amplitude of 17 cm.(a) What is the maximum acceleration experienced by the jack-in-the-box? _________ m/s^2(b) If the mass of the jack-i

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 14P: In an engine, a piston oscillates with simple harmonic motion so that its position varies according...

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A jack-in-the-box undergoes simple harmonic motion after it pops out of its box with a frequency of 3.2 Hz and an amplitude of 17 cm.

(a) What is the maximum acceleration experienced by the jack-in-the-box? _________ m/s^2

(b) If the mass of the jack-in-the-box is 0.190 kg, what is the maximum net force it experiences during the motion? _______ 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 that the angles are in radians. Do not include units in your answer. Use the following as necessary: t.) F(t)= __________

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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