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Q2: A point particle of mass m = 0.5 kg is attached to a massless spring of constant k = 4.5 N/m and allowed to oscillate on a frictionless horizontal surface. In what follows, express the position the particle x(t) in the three different ways studied in the class (i.e., Superposition of complex exponentials, superposition of independent trigonometric functions, and a single trigonometric function with the a phase shift): (a) At t = 0, the mass is at rest stretching the spring by an amount of 0.2 m. (b) At t = 0, the mass stretches the spring by 0.25 m and at t = 0.873 s it has a velocity of 0.75 m/s. Take the direction of the spring stretching to be the +x direction and let the origin be the point at which the restoring force vanishes. No undetermined constants are allowed in your expressions of x(t).

Q2: A point particle of mass m = 0.5 kg is attached to a massless spring of constant k = 4.5 N/m and allowed to oscillate on a frictionless horizontal surface. In what follows, express the position the particle x(t) in the three different ways studied in the class (i.e., Superposition of complex exponentials, superposition of independent trigonometric functions, and a single trigonometric function with the a phase shift): (a) At t = 0, the mass is at rest stretching the spring by an amount of 0.2 m. (b) At t = 0, the mass stretches the spring by 0.25 m and at t = 0.873 s it has a velocity of 0.75 m/s. Take the direction of the spring stretching to be the +x direction and let the origin be the point at which the restoring force vanishes. No undetermined constants are allowed in your expressions of x(t).

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Q2: A point particle of mass m = 0.5 kg is attached to a massless spring of constant = 4.5 N/m and allowed to oscillate on a frictionless horizontal surface. In what follows, express the position the particle x(t) in the three different ways studied in the class (i.e., Superposition of complex exponentials, superposition of independent trigonometric functions, and a single trigonometric function with the a phase shift): k (a) At t = 0, the mass is at rest stretching the spring by an amount of 0.2 m. (b) At t = 0, the mass stretches the spring by 0.25 m and at t = 0.873 s it has a velocity of 0.75 m/s. Take the direction of the spring stretching to be the +x direction and let the origin be the point at which the restoring force vanishes. No undetermined constants are allowed in your expressions of c(t).
Transcribed Image Text:Q2: A point particle of mass m = 0.5 kg is attached to a massless spring of constant = 4.5 N/m and allowed to oscillate on a frictionless horizontal surface. In what follows, express the position the particle x(t) in the three different ways studied in the class (i.e., Superposition of complex exponentials, superposition of independent trigonometric functions, and a single trigonometric function with the a phase shift): k (a) At t = 0, the mass is at rest stretching the spring by an amount of 0.2 m. (b) At t = 0, the mass stretches the spring by 0.25 m and at t = 0.873 s it has a velocity of 0.75 m/s. Take the direction of the spring stretching to be the +x direction and let the origin be the point at which the restoring force vanishes. No undetermined constants are allowed in your expressions of c(t).
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