Unit 2: Kinetics of a Particle
So far, we have only been concerned with what a particle is doing, i.e.
what is the particle’s position? What is its velocity? What is its
acceleration? We have not yet asked “How do particles get that
acceleration? How do we make particles accelerate in certain ways?”
In this unit, we will use three methods to answer those questions (and
others). These three methods are really three ways of looking at
Newton’s 2^{nd} Law [ ∑F = ma ] but each will allow us to solve
certain types of problems in very efficient ways. One of the methods
can in fact save your life. We will also formulate and solve problems to
understand the practical implications of theory learned.
Unit 2 Time Advisory
This unit will take you approximately 27.5 hours to complete.
☐ Subunit 2.1: 8.5 hours
☐ Subunit 2.1.1: 2.5 hours
☐ Subunit 2.1.2: 1.5 hours
☐ Subunit 2.1.3: 0.75 hour
☐ Subunit 2.1.4: 0.75 hour
☐ Subunit 2.1.5: 0.75 hour
☐ Subunit 2.1.6: 0.75 hour
☐ Subunit 2.1.7: 1.5 hours
☐ Subunit 2.2: 9.25 hours
☐ Subunit 2.2.1: 2.5 hours
☐ Subunit 2.2.2: 1.5 hours
☐ Subunit 2.2.3: 2 hours
☐ Subunit 2.2.4: 0.75 hour
☐ Subunit 2.2.5: 1.5 hours
☐ Subunit 2.2.6: 1 hour
☐ Subunit 2.3: 9.75 hours
☐ Subunit 2.3.1: 2.5 hours
☐ Subunit 2.3.2: 0.75 hour
☐ Subunit 2.3.3: 1 hour
☐ Subunit 2.3.4: 2.5 hours
☐ Subunit 2.3.5: 2 hours
☐ Subunit 2.3.6: 1 hour
Unit2 Learning Outcomes
Upon successful completion of this unit, the student will be able to:
- Identify Newton’s second law.
- Identify equations of motion and equations of motion for a system of particles in one-dimension.
- Identify equation of motion in rectangular, normal, tangential, and cylindrical components in one-dimension.
- Identify orbital motion and space mechanics.
- Solve work, energy, power, and efficiency for particles and system of particles in one-dimension.
- Identify energy, potential energy, and conservation of energy for particles and system of particles in one-dimension.
- Identify Impulse, Momentum, and conservation of momentum for particles and system of particles in one-dimension.
- Identify angular momentum, angular impulse, and impact for particles and system of particles in one-dimension.
2.1 Force and Acceleration 2.1.1 Newton’s Second Law of Motion - Reading: Utah State University: Dr. Urroz’s “Newton’s Equations of Motion”
Link: Utah State University: Dr. Urroz’s “[Newton’s Equations of
Motion](http://www.neng.usu.edu/cee/faculty/gurro/Classes/ClassNotesAllClasses/CEE2030/Lectures/Lecture7_ENGR2030.htm)”
(PDF)
Instructions: Please click on the link above, and then select the
hyperlink for Lecture 7A, titled “Newton’s Equations of Motion” to
open the PDF file. Read the section titled “Newton’s Laws of
Motion.”
Newton’s Second Law is the first of three methods we will use to
solve the very reasonable question: “How do we get a particle to
accelerate in a particular way?” This method works for very general
problems.
Terms of Use: Please respect the copyright and terms of use
displayed on the webpage above.
Reading: Real-world-physics-problems.com: “Newton’s Law of Motion” Link: Real-world-physics-problems.com: “Newton’s Law of Motion” (HTML)
Instructions: Please click on the link above, and read the entire webpage. This lecture will introduce you to Newton’s Equation of Motion. Please take notes as you read this section.
Terms of Use: Please respect the copyright and terms of use displayed on the webpage above.Lecture: YouTube: The Saylor Foundation: Ken Manning’s “Dynamics Particle Linear Kinetics” Link: YouTube: The Saylor Foundation: Ken Manning’s “Dynamics Particle Linear Kinetics” (YouTube)
Also Available in: iTunes U
Instructions: This video is titled “Dynamics Particle Linear Kinetics” but the theme here is Newton’s Second Law which is the first of three methods we will use to solve the very reasonable question: “How do we get a particle to accelerate in a particular way?” This method works for very general problems. Please click on link above, and watch the video, which will introduce you to Newton’s Second Law. It may also help to take notes while watching the video. The video may be a little choppy, but it will help you understand the material that you have studied in this section. Please pay attention to the problems solved by the professor on the board. Please watch the entire video (1 hour 20 minutes). This video will also help you understand sections 2.12 through 2.14.Terms of Use: The linked material above has been reposted by the kind permission of Kenneth S. Manning, PhD, Professor of Engineering at SUNY Adirondack, and the original version can be found here. Please note that this material is under copyright and cannot be reproduced in any capacity without explicit permission from the copyright holder.
2.1.2 Newton’s Second Law-The Equation of Motion
- Reading: Real-world-physics-problems.com: “Newton’s Second Law”
Link: Real-world-physics-problems.com: “Newton’s Second
Law”
(HTML)
Instructions: Please click on the link above, and read the entire
webpage. This lecture will introduce you to Newton’s Equation of
Motion, which is Newton’s second law. Please take notes as you read
this section.
Terms of Use: Please respect the copyright and terms of use
displayed on the webpage above.
- Reading: University of Nebraska-Lincoln: Dr. M. Negahban’s
“Equations of Motion for a Particle: Newton’s 2nd Law”
Link: University of Nebraska-Lincoln: Dr. M. Negahban’s “Equations
of Motion for a Particle: Newton’s 2^{nd}
Law”
(PDF)
Instructions: The problems here will help you understand the equation of motion and Newton’s second law. Please click on the links for “Example 1,” “Example 2,” “Example 3,” “Example 4,” “Example 5,” and “Example 6,” and read each of these example problems.
Terms of Use: The linked material above has been reposted by the kind permission of Mehrdad Negahban, and can be viewed in its original form here. Please note that this material is under copyright and cannot be reproduced in any capacity without explicit permission from the copyright holder.