A particle of mass 2kg is oscillating with simple harmonic motion of period particle passes through a point A at a distance 0.5 m from the equilibrium position while travelling with speed 3 m/s. Find 5. (i) (a) the amplitude of the simple harmonic motion. (b) the magnitude of the force acting on the particle. (ii) A particle P moves in a resisting medium such that its displacement z from a fixed point O is given by the differential equation dz + 2- + 5z = 0. dt? dt Show that P undergoes a damped harmonic motion and find the period of this motion.
A particle of mass 2kg is oscillating with simple harmonic motion of period particle passes through a point A at a distance 0.5 m from the equilibrium position while travelling with speed 3 m/s. Find 5. (i) (a) the amplitude of the simple harmonic motion. (b) the magnitude of the force acting on the particle. (ii) A particle P moves in a resisting medium such that its displacement z from a fixed point O is given by the differential equation dz + 2- + 5z = 0. dt? dt Show that P undergoes a damped harmonic motion and find the period of this 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)...
Related questions
Question
Show all working explaining detailly each step
Answer must be typewritten with a computer keyboard!
Transcribed Image Text:5.
(i)
A particle of mass 2kg is oscillating with simple harmonic motion of period z seconds. The
particle passes through a point A at a distance 0.5 m from the equilibrium position while travelling with
speed 3 m/s.
Find
(a) the amplitude of the simple harmonic motion.
(b) the magnitude of the force acting on the particle.
(ii) A particle P moves in a resisting medium such that its displacement z from a fixed point O is given
by the differential equation
da
+ 2-
+ 5z = 0.
dt?
dt
Show that P undergoes a damped harmonic motion and find the period of this motion.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 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