5. 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.

Modern Physics
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ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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Chapter3: The Quantum Theroy Of Light
Section3.2: Blackbody Radiation
Problem 3E: An object of mass m on a spring of stiffness k oscillates with an amplitude A about its equilibrium...
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5. 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:5. 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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