Problem 1: A simple harmonic oscillator is composed of a mass hanging from a spring. The mass of the hanging object is N 400 g and the spring constant is 0.8 “. At the time t = 0 s, the mass is 2cm above its equilibrium position. The т amplitude of the oscillation is 5 cm. a) What is the initial phase? b) Find one of the times where the mass is located at 3cm above equilibrium. c) Find the kinetic and potential energies at t = 1s. d) What is the maximum kinetic energy?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
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Problem 1:
A simple harmonic oscillator is composed of a mass hanging from a spring. The mass of the hanging object is
400 g and the spring constant is 0.8 2. At the time t = 0 s, the mass is 2cm above its equilibrium position. The
т
amplitude of the oscillation is 5 cm.
a) What is the initial phase?
b) Find one of the times where the mass is located at 3cm above equilibrium.
c) Find the kinetic and potential energies at t = 1s.
d) What is the maximum kinetic energy?
Transcribed Image Text:Problem 1: A simple harmonic oscillator is composed of a mass hanging from a spring. The mass of the hanging object is 400 g and the spring constant is 0.8 2. At the time t = 0 s, the mass is 2cm above its equilibrium position. The т amplitude of the oscillation is 5 cm. a) What is the initial phase? b) Find one of the times where the mass is located at 3cm above equilibrium. c) Find the kinetic and potential energies at t = 1s. d) What is the maximum kinetic energy?
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