What is the maximum speed vmax of the block during this motion? Find the acceleration a of the block as a function of time. Find Kmax, the maximum kinetic energy of the block.

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)...
icon
Related questions
icon
Concept explainers
Question
100%
  • What is the maximum speed vmax of the block during this motion?
  • Find the acceleration a of the block as a function of time.
  • Find Kmax, the maximum kinetic energy of the block.

 

To derive the formulas for the major characteristics of motion as functions of time for a
horizontal spring oscillator and to practice using the obtained formulas by answering some
basic questions.
A block of mass m is attached to a spring whose spring constant is k. The other end of the
spring is fixed so that when the spring is unstretched, the mass is located at x = 0.
(Figure 1). Assume that the +x direction is to the right.
The mass is now pulled to the right a distance A beyond the equilibrium position and
released, at time t = 0, with zero initial velocity.
Assume that the vertical forces acting on the block balance each other and that the tension
of the spring is, in effect, the only force affecting the motion of the block. Therefore, the
system will undergo simple harmonic motion. For such a system, the equation of motion is
a(t) = − x(t).
and its solution, which provides the equation for ™ (t), is
r(t) = A cos (√√t).
Transcribed Image Text:To derive the formulas for the major characteristics of motion as functions of time for a horizontal spring oscillator and to practice using the obtained formulas by answering some basic questions. A block of mass m is attached to a spring whose spring constant is k. The other end of the spring is fixed so that when the spring is unstretched, the mass is located at x = 0. (Figure 1). Assume that the +x direction is to the right. The mass is now pulled to the right a distance A beyond the equilibrium position and released, at time t = 0, with zero initial velocity. Assume that the vertical forces acting on the block balance each other and that the tension of the spring is, in effect, the only force affecting the motion of the block. Therefore, the system will undergo simple harmonic motion. For such a system, the equation of motion is a(t) = − x(t). and its solution, which provides the equation for ™ (t), is r(t) = A cos (√√t).
0=x
-X
A
Transcribed Image Text:0=x -X A
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Potential energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON