A block of mass m rests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static and kinetic friction are p. The block is displaced a distance xo to the right of the unstretched position for the spring and released from rest. If the value for xo is large enough, the spring force will overcome the maximum available static friction force and the block will slide toward the unstretched position of the spring with an acceleration a= ug - k/mx, where x represents the amount of stretch (or compression) in the spring at any given location in the motion. Use the values m = 9 kg. k = 105 N/m, p = 0.50, and xo = 1110 mm and determine the final spring stretch (or compression) x, when the block comes to a complete stop. The distance x, will be positive if to the right (spring stretched) and negative if to the left (spring compressed).
A block of mass m rests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static and kinetic friction are p. The block is displaced a distance xo to the right of the unstretched position for the spring and released from rest. If the value for xo is large enough, the spring force will overcome the maximum available static friction force and the block will slide toward the unstretched position of the spring with an acceleration a= ug - k/mx, where x represents the amount of stretch (or compression) in the spring at any given location in the motion. Use the values m = 9 kg. k = 105 N/m, p = 0.50, and xo = 1110 mm and determine the final spring stretch (or compression) x, when the block comes to a complete stop. The distance x, will be positive if to the right (spring stretched) and negative if to the left (spring compressed).
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)...
Related questions
Concept explainers
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
Question
Topic: Dynamic Of Rigid Bodies
Transcribed Image Text:A block of mass mrests on a rough horizontal surface and is attached to a spring of stiffness k. The coefficients of both static and
kinetic friction are p. The block is displaced a distance xo to the right of the unstretched position for the spring and released from rest.
If the value for xo is large enough, the spring force will overcome the maximum available static friction force and the block will slide
toward the unstretched position of the spring with an acceleration a = ug - k/m x, where x represents the amount of stretch (or
compression) in the spring at any given location in the motion. Use the values m = 9 kg. k= 105 N/m, p = 0.50, and xo = 1110 mm and
determine the final spring stretch (or compression) x, when the block comes to a complete stop. The distance x, will be positive if to
the right (spring stretched) and negative if to the left (spring compressed).
Unstretched spring
position
Part 1
wwwww
xo
Unless the value for xo is large enough, no motion will occur. Verify that motion does occur in this case by calculating the minimum
value that xo must exceed in order for motion to occur?. Use the values m = 9 kg, k = 105 N/m, p = 0.50, and xo = 1110 mm.
Unstretched spring
position
Answer: Xomin=
m
xo
m
mm
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON