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A block of mass m = 0.5 kg is attached to a horizontal spring whose spring constant is k = 50 N/m. At t = 0.1 s, the position is x = 0.30 m, and velocity is v = 2.65 m/s. a) Find the equation of position as a function of time in the form: x = Acos(wt + 4) b) When does the condition x = 0.30 m, and v = -2.65 m/s. occur for the first time?

A block of mass m = 0.5 kg is attached to a horizontal spring whose spring constant is k = 50 N/m. At t = 0.1 s, the position is x = 0.30 m, and velocity is v = 2.65 m/s. a) Find the equation of position as a function of time in the form: x = Acos(wt + 4) b) When does the condition x = 0.30 m, and v = -2.65 m/s. occur for the first time?

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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A block of mass m = 0.5 kg is attached to a horizontal spring whose spring constant is k = 50 N/m. At t = 0.1 s, the position is x = 0.30 m, and velocity is v = 2.65 m/s. a) Find the equation of position as a function of time in the form: x = Acos(wt + P) b) When does the condition x = 0.30 m, and v = -2.65 m/s. occur for the first time?
Transcribed Image Text:A block of mass m = 0.5 kg is attached to a horizontal spring whose spring constant is k = 50 N/m. At t = 0.1 s, the position is x = 0.30 m, and velocity is v = 2.65 m/s. a) Find the equation of position as a function of time in the form: x = Acos(wt + P) b) When does the condition x = 0.30 m, and v = -2.65 m/s. occur for the first time?
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