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A spring-mass system is undergoing simple harmonic motion of amplitude 2.2 cm and angular frequency 10.4 sāˆ’1. The magnitude of the maximum acceleration of the mass as it oscillates back and forth is A spring-mass system is undergoing simple harmonic motion of amplitude 2.2 and angular frequency 10.4 . The magnitude of the maximum acceleration of the mass as it oscillates back and forth is a. 0.00 m/s2. b. 0.21 m/s2. c. 2.38 m/s2. d. 15.0 m/s2.

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skyluke89

The maximum acceleration is c) [tex]2.38 m/s^2[/tex]

Explanation:

The maximum acceleration of a spring-mass system is given by

[tex]a_{max} = \omega^2 A[/tex]

where

[tex]\omega[/tex] is the angular frequency of the system

A is the amplitude of the motion

For the spring-mass system in this problem, we have

[tex]A=2.2 cm = 0.022 m[/tex] is the amplitude

[tex]\omega=10.4 rad/s[/tex] is the angular frequency

Substituting, we find the maximum acceleration:

[tex]a_{max}=(0.022)(10.4)^2=2.38 m/s^2[/tex]

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