MET 213 Dynamics

Spring 2018


Text: Note pack available at Boiler Copy in the Union




Mark French

121 Knoy Hall

Desk: 765-494-7621

Mobile: 765-714-9382 (I’m happy to get a call or a text, but please not after 10:00 pm)










8:00 AM






8:30 AM






9:00 AM






9:30 AM



Office Hours



10:00 AM






10:30 AM

MET 503


MET 503


MET 503

11:00 AM

Knoy B031


Knoy B031


Knoy B031

11:30 AM






12:00 PM






12:30 PM

MET 213


MET 213


MET 213

1:00 PM

WTHR 320


WTHR 320


WTHR 320

1:30 PM






2:00 PM






2:30 PM






3:00 PM






3:30 PM






4:00 PM






4:30 PM






5:00 PM







Official office hours are in green. However, my door is open pretty much whenever I'm in the office.  If the door is open, you're welcome to stop by.  If, for some reason, I'm too busy to talk with you, we'll make an appointment.

When you email me, please include the following text in the subject line:  MET 213 Dynamics



You will learn much more if you do the homework.  All homework sets must be submitted electronically through Blackboard.  Each set must be submitted as a single PDF file.  Every homework problem is worth 10 points.  Feel free to work with one another on homework as long as everyone is participating and learning.  Everyone must hand in their own work.


Homework sets handed in up to one week late will be penalized 50%.Homework will not be accepted more than one week late without prior arrangement.


For all homework problems:


  • Assume g = 32.20 ft/sec2 = 9.810 m/sec2 (I know that physics classes use g= 9.8 m/sec2 and that’s fine if you can live with two significant figures, but I want us to use more than that)
  • Work all problems using six significant figures and report results using four significant figures





Exam 1


Exam 2


Exam 3








Extra Credit:

I want students to start noticing dynamics in the world outside of class.  To foster this, each student may bring in an example that demonstrates some principle from class.  You will be asked to give a 5-8 min explanation to the class.  If your example and explanation are correct and relevant, two points will be added to your final class average.  Each student may do two demonstrations during the semester.



Current Syllabus

This syllabus will be changed regularly to accommodate your needs so check back often







Supplementary Material








Intro to Dynamics





Introduction, Kinematics

Motion Diagrams

Aircraft Catapult Example


Expressions for Constant Acceleration:


Motion Diagrams:





Intro Homework


Due: 1/19


1 – A car accelerates from a standing start at a rate of 4 m/sec^2.  A truck 500m down the road accelerates from a standing start at a rate of 2 m/sec^2.  How far has the car traveled when it catches the truck?  How many seconds does it take?


2 – An MET student want to throw a golf ball to the 6th floor window of a building.  She is next to the building, so there is no horizontal motion.  The window is 22m above the release point.  What is the initial velocity of the ball?


Submit your solutions on Blackboard.





MLK Birthday




Motion Diagrams

Position, Velocity, Acceleration

Ballistic Flight

Example Problem

Two Stage Rocket Sled


Motion Diagram HW


Due: 1/26


Note:  You do not need to do the MATLAB portion of the HW



Airliner Takeoff Example

Drop Tower Example

Drop Tower Video:



Kinematics in two dimensions




Simultaneous Impact



Kinematics HW Set #1





No Class




Measuring Acceleration of Gravity Using Falling Objects


Kinematics HW Set #2






Ping Pong Ball Drop Article

Ping Pong Ball Drop Example Analysis

Kinematics Equations

Variable Acceleration

Mathcad Example  Symbolic Calculations

Ballistics Spud Gun Example

Ball drop practice data

Ball Drop Experiment

Article Showing Analytical Result


YouTube video on terminal Velocity:

Kinematics HW Set #3






Terminal Velocity

Symbolic Math in Matlab





Kinetics – bodies moving under effect of a force






Review for Exam 1

Practice Exam 1

Answer Key


Practice Exam 2

Answer Key




Exam 1


In Class Exam


Open Book, Open Notes

Work Problems to 6 sig. fig.

Report Results to 4 sig. fig.


Bring a calculator capable of solving a nonlinear algebraic equation







Inertial force

Mass moving due to a force

Block on a ramp


Kinetics HW #1










Kinetics Example: Braking and Acceleration Force

Car on Ramp

Kinetics HW #2





Ballistic Flight with Aerodynamic Drag





Accelerating Ramps










Connected Bodies and Pulleys


Pulley Example


Here are some pulley examples on the YouTube Channel:

Pulley HW











Exam Review

Practice Exam 2005 Answer key


Practice Exam 2006 Answer key




Exam 2




Kinetics of Rotation Acceleration on a circular path Car in Banked Turn

·         Race Car Turn Problem

·         Turn Problem 2

·         Race Car Downforce

Race Car Downforce 2

Banked Turn HW






Circular Motion

Merry Go Round

Acceleration on curved, non-circular path

Orbital Velocity




Circular Orbits





Non-circular orbits

Orbital Mechanics HW





Relationship between linear and rotational motion




Mass Moment of Inertia





Rotational Acceleration

Accelerating Merry Go Round

Accelerating Car in Turn


Mass Moment of Inertia HW





No Class





No Class





More Orbital Mechanics


Work and Energy HW





Work and Energy – Conservation of Energy






Impulse and Momentum





Conservation of Energy vs. Conservation of Momentum


Impulse and Momentum HW












Conservation of Momentum





Review for Exam 3



Exam 3



Dead Week

Review of Calculating Stored Energy in Catapults



Catapult Questions




Catapult Testing

Black Playing Field, 1:00 – 5:00

Here’s a link to the Google Map



Catapult Videos 1


Catapult Videos 2









As we begin this semester I want to take a few minutes and discuss emergency preparedness. Purdue University is a very safe campus and there is a low probability that a serious incident will occur here at Purdue. However, just as we receive a safety briefing each time we get on an aircraft, we want to emphasize our emergency procedures for evacuation and shelter in place incidents. Our preparedness will be critical if an unexpected event occurs.


Emergency preparedness is your personal responsibility. Purdue University is continuously preparing for natural disasters or human-caused incidents with the ultimate goal of maintaining a safe and secure campus. Let’s review the following procedures:

  • To report an emergency, call 911.
  • To obtain updates regarding an ongoing emergency, and to sign up for Purdue Alert text messages, view


·         There are nearly 300 Emergency Telephones outdoors across campus and in parking garages that connect directly to the Purdue Police Department (PUPD). If you feel threatened or need help, push the button and you will be connected immediately.


·         If we hear a fire alarm, we will immediately suspend class, evacuate the building, and proceed outdoors, and away from the building. Do not use the elevator.


  • If we are notified of a Shelter in Place requirement for a tornado warning, we will suspend class and shelter in the lowest level of this building away from windows and doors.


  • If we are notified of a Shelter in Place requirement for a hazardous materials release, or a civil disturbance, including a shooting or other use of weapons, we will suspend class and shelter in our classroom, shutting any open doors or windows, locking or securing the door, and turning off the lights.


Course Objectives:


Upon successful completion of this course, the student should be able to:


1.         Distinguish between problems requiring a Statics solution and problems requiring a Dynamics solution (i.e., Bodies that require a Statics solution have no acceleration.)


2.         Identify the different types of dynamics problem (i.e., Kinematics, Kinetics, Rigid Body, Particle).


3.         Select the appropriate solution method for the different problem types (i.e., Kinematics, Equation of Motion, Work/Energy Principles, Conservation of Energy, Impulse/Momentum, and Conservation of Momentum).


4.         Properly apply each of the solution methods.


5.         Properly construct motion diagrams for the solution of Kinematics problems.


6.         Properly draw supporting diagrams for Kinetics problems (i.e., Free Body Diagram, Kinetic Diagram, Impulse/Momentum Diagram, etc.).


7.         Properly calculate the mass moment of inertia for basic and composite shapes.


8.         Select the appropriate coordinate system type (i.e., x-y or n-t) and location for the various problem types.



EMERGENCY NOTIFICATION PROCEDURES are based on a simple concept – if you hear a fire alarm

inside, proceed outside. If you hear a siren outside, proceed inside.

·         Indoor Fire Alarms mean to stop class or research and immediately evacuate the building.

o   Proceed to your Emergency Assembly Area away from building doors. Remain outside until police, fire, or other emergency response personnel provide additional guidance or tell you it is safe to leave.

·         All Hazards Outdoor Emergency Warning Sirens mean to immediately seek shelter (Shelter in Place) in a safe location within the closest building.


This course of action may need to be taken during a tornado, a civil disturbance including a

shooting or release of hazardous materials in the outside air. Once safely inside, find out more

details about the emergency*. Remain in place until police, fire, or other emergency response

personnel provide additional guidance or tell you it is safe to leave.


*In both cases, you should seek additional clarifying information by all means possible…Purdue Emergency

Status page, text message, email alert, TV, radio, etc…review the Purdue Emergency Warning Notification

System multi-communication layers at http://www.pu




Review the Emergency Procedures Guidelines

Review the Building Emergency Plan (available on the Emergency Preparedness website or from the

building deputy) for:

o evacuation routes, exit points, and emergency assembly area

o when and how to evacuate the building.

o shelter in place procedures and locations

o additional building specific procedures and requirements.



"Shots Fired on Campus: When Lightning Strikes," is a 20-minute active shooter awareness video that

illustrates what to look for and how to prepare and react to this type of incident. See:

(Link is also located on the EP website)

All Hazards Online Awareness training video (on Webcert & Blackboard.) A 30 minute computer based

training video that provides safety and emergency preparedness information. See the EP website for sign up




Reference the Emergency Preparedness web site for additional information: