A mass m is attached to a spring with spring constant k on a frictionless table. We stretch and release it a distance to away from the resting position. (a) Sketch the position, velocity, and acceleration plots (time on x-axis). (b) What is the period if: (i) the mass is doubled, (ii) or the spring constant is quadrupled, and (iii) or we double ro but the mass and spring constant remain unchanged? (c) On one plot, sketch the total energy, kinetic energy, and elastic energy with time on the xr-axis. (d) When the mass is at the position -ro/3, what is the velocity? (e) At what distance will the speed of the mass be half of its maximum speed?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: The Laws Of Motion
Section: Chapter Questions
Problem 54P: A student is asked to measure the acceleration of a glider on a frictionless, inclined plane, using...
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Problem 6 Oscillations
A mass m is attached to a spring with spring constant k on a frictionless table. We stretch and release it a
distance to away from the resting position. (a) Sketch the position, velocity, and acceleration plots (time
on x-axis). (b) What is the period if: (i) the mass is doubled, (ii) or the spring constant is quadrupled,
and (iii) or we double ro but the mass and spring constant remain unchanged? (c) On one plot, sketch
the total energy, kinetic energy, and elastic energy with time on the x-axis. (d) When the mass is at
the position -xo/3, what is the velocity? (e) At what distance will the speed of the mass be half of its
maximum speed?
Transcribed Image Text:Problem 6 Oscillations A mass m is attached to a spring with spring constant k on a frictionless table. We stretch and release it a distance to away from the resting position. (a) Sketch the position, velocity, and acceleration plots (time on x-axis). (b) What is the period if: (i) the mass is doubled, (ii) or the spring constant is quadrupled, and (iii) or we double ro but the mass and spring constant remain unchanged? (c) On one plot, sketch the total energy, kinetic energy, and elastic energy with time on the x-axis. (d) When the mass is at the position -xo/3, what is the velocity? (e) At what distance will the speed of the mass be half of its maximum speed?
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