MAE 2600 (SP13)
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This is a closed book exam. Show your work clearly and concisely!
Indicate answers and units. You have a full 50 mi
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 17: Conservative Force. Work and Potential (15.3-15.4)
1. Basic concepts
Potential energy
dV F.dr
Principle
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 18: Chapter 16.1, Principle of Impulse and Momentum
Basic Concepts
Newtons second law can be expressed as:
d
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 16: Work Done by Particular Forces (15.2)
Note: for certain types of forces, we dont need to know the path t
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 14: Chapters 13 and 14 Summary
Kinematics Review
r : position vector of P relative to origin O . Then:
dr
:
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 19: Conservation of Linear Momentum, Impact
Basic Concepts
For a system of particles, if there is no externa
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 15. Chapter 15 Work and Kinetic Energy
In this chapter we will show hoe Newtons second law, which is a vecto
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 13: Chapter 14 section (14.5)
Orbital Mechanics
Key concepts:
We can use Newtons second law expressed in
pol
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 12: Chapter 14 section (14.4)
Second Law Polar Coordinates
We can write Newtons second law as:
Fr er F e m(
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 11: Chapter 14 section (14.3)
Normal and Tangential Components
Newtons second law can be written in terms of
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 10: Chapter 14 section (14.1-14.2)
Chapter objectives:
In this chapter, we relate cause and effect using New
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 20: Oblique Central Impacts
The objects approach each other at an oblique
angle.
Incase, the forces that the
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 21: Angular Momentum
Basic Concepts
Principle of Angular Impulse and Momentum
r F r ma r m
rF
dv
dt
dH O
dt
MAE 2600 (SP13)
TEST #I
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MAE 2600 (SP13)
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1
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 28: Summary - Planar Motion of Rigid Bodies
Relative Velocities
rA rB rA / B
v A v B v A/ B
Velocity Formula
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 26: (17.6) Sliding Contact
Objective:
Study the motion of rigid bodies when relative motion involved
Introdu
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 29, (Chapter 18.1-18.2): Planar Dynamics of Rigid Bodies
Preview of Equation of Motion
The equations governi
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 27: (17.7) Moving Reference Frames
Motion of a Point Relative to a Moving Reference Frame
v A v B v Arel rA
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 22: Chapter 17.1-17.2
Planar Kinematics of Rigid Bodies
Objective:
To analyze the motion of objects, includi
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 25: (17.5) General Motion: Accelerations
Objective:
To analyze the accelerations of rigid bodies
Key equatio
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 23: 17.3 General Motion: Velocities
Objective:
To analyze motions that combine translation and rotation
Cros
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 24: 17.4: Instantaneous Centers
Objective:
Learn the concept of Instantaneous center
Learn on how to find th
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 9: Kinematics Review: More Problems
r : position vector of P relative to origin O . Then:
dr
: velocity of P
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 8: Section 13.8
Relative Motion
Objective:
Introduce the concepts relative motion
The position of A relative
057010 Dynamics
Instructor: S. Rahmatalla
College of Engineering
University of Iowa
Lecture 7: Section 13.7
Curvilinear MotionPolar and Cylindrical Coordinates
Objective:
Introduce the concepts of Pol
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Dynamics,Fa112015 Exam2 Name:. .
1. (30 pts) The four 3~kg balls are rigidly mounted to the
rotating frame and shaﬁ, which are initially rotating freely
about the vertical z—axis at the ang
Dynamics, Fall 2015 Examl Name:
1. (35 pts) The 60—kg skateboarder coasts down the
circular track of radius 4 m. If he starts from rest when
0 = 0°, determine the magnitude of the normal reaction
the
Comparing Eqns 5 and 6, we see that the post impact velocity is the same in both scenarios
Note: This result has an important implication in the real world. For example, you want to study the damage d