A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is negligible. The mass is displaced through a distance of 0.5 m to left of the equilibrium position and given a velocity of 2 m/s to the right. (a) Find the equation of motion of the mass together with the amplitude, period and natural frequency. (b) Find the maximum displacement. (c) Find the time when the mass returns to its equilibrium position for the first time.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter15: Oscillations
Section: Chapter Questions
Problem 29P: A mass m0is attached to a spring and hung vertically. The mass is raised a short distance in the...
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A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is negligible.
The mass is displaced through a distance of 0.5 m to left of the equilibrium position and given a
velocity of 2 m/s to the right.
(a) Find the equation of motion of the mass together with the amplitude, period and natural
frequency.
(b) Find the maximum displacement.
(c) Find the time when the mass returns to its equilibrium position for the first time.
Transcribed Image Text:A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is negligible. The mass is displaced through a distance of 0.5 m to left of the equilibrium position and given a velocity of 2 m/s to the right. (a) Find the equation of motion of the mass together with the amplitude, period and natural frequency. (b) Find the maximum displacement. (c) Find the time when the mass returns to its equilibrium position for the first time.
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