(i) When a small sphere of mass 300 g is attached to a spring of length 200 mm, its length increases to 285 mm. Calculate its spring constant. (ii) The sphere is pulled down until the length of the spring is 310 mm. The sphere is then released and oscillates about a fixed point. Derive the relationship between the acceleration of the sphere and its displacement from the fixed point. (iii) Why does the sphere oscillate with simple harmonic motion?

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
Topic Video
Question
1)
(i) When a small sphere of mass 300 g is attached to a spring of length 200 mm, its length
increases to 285 mm.
Calculate its spring constant.
(ii) The sphere is pulled down until the length of the spring is 310 mm.
The sphere is then released and oscillates about a fixed point.
Derive the relationship between the acceleration of the sphere and its displacement from
the fixed point.
(iii) Why does the sphere oscillate with simple harmonic motion?
(iv) Calculate the period of oscillation of the sphere.
(v) Calculate the maximum acceleration of the sphere.
(vi) Calculate the length of the spring when the acceleration of the sphere is zero.
Transcribed Image Text:1) (i) When a small sphere of mass 300 g is attached to a spring of length 200 mm, its length increases to 285 mm. Calculate its spring constant. (ii) The sphere is pulled down until the length of the spring is 310 mm. The sphere is then released and oscillates about a fixed point. Derive the relationship between the acceleration of the sphere and its displacement from the fixed point. (iii) Why does the sphere oscillate with simple harmonic motion? (iv) Calculate the period of oscillation of the sphere. (v) Calculate the maximum acceleration of the sphere. (vi) Calculate the length of the spring when the acceleration of the sphere is zero.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Simple Harmonic Motion
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