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lder the equations of position, velocity, and acceleration for a mass at deal, massless spring. We will assume that the displacement is at its p um at t = 0 such that o = 0, making the equations: %3D x= XmaxCOS (@t) v=-WXmaxsin (wt) a =-wXmaxCos (wt) assume that this initial displacement is 20.0 cm, the attached mass is 4. e spring has a spring constant of 50.0 N/m.

lder the equations of position, velocity, and acceleration for a mass at deal, massless spring. We will assume that the displacement is at its p um at t = 0 such that o = 0, making the equations: %3D x= XmaxCOS (@t) v=-WXmaxsin (wt) a =-wXmaxCos (wt) assume that this initial displacement is 20.0 cm, the attached mass is 4. e spring has a spring constant of 50.0 N/m.

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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(1) to an ideal, massless spring. We will assume that the displacement is at its positive maximum at t = 0 such that 0 = 0, making the equations: Consider the equations of position, velocity, and acceleration for a mass attached x = XmaxCOS (@t) v=-WXmaxSin (wt) a = - w*XmaxCos (wt) Further assume that this initial displacement is 20.0 cm, the attached mass is 4.00 kg, and the spring has a spring constant of 50.0 N/m. What is the ordinary frequency of oscillation? (a) What is the velocity at t= 0? (b) (c) Where in the motion does x=-Xmax? Specify a general condition (that is, an What is the acceleration at t = 0? (d) equation) that provides all times (or, alternatively, positions) that apply. Repeat (d) but for where the acceleration is at its negative maximum, that is, a <0 (e) but Ja| is as large as possible. Repeat (d) but for where the acceleration is equal to 0. (f)
Transcribed Image Text:(1) to an ideal, massless spring. We will assume that the displacement is at its positive maximum at t = 0 such that 0 = 0, making the equations: Consider the equations of position, velocity, and acceleration for a mass attached x = XmaxCOS (@t) v=-WXmaxSin (wt) a = - w*XmaxCos (wt) Further assume that this initial displacement is 20.0 cm, the attached mass is 4.00 kg, and the spring has a spring constant of 50.0 N/m. What is the ordinary frequency of oscillation? (a) What is the velocity at t= 0? (b) (c) Where in the motion does x=-Xmax? Specify a general condition (that is, an What is the acceleration at t = 0? (d) equation) that provides all times (or, alternatively, positions) that apply. Repeat (d) but for where the acceleration is at its negative maximum, that is, a <0 (e) but Ja| is as large as possible. Repeat (d) but for where the acceleration is equal to 0. (f)
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