ME 101 - Final Exam Review
Exam Date and place:
What is covered?
Chapter 2: Kinematics of Particles
Sections 1 through 6
Section 2/8
Section 2/9
Chapter 3: Kinetics of Particles
Sections 1 through 10
Chapter 5: Kinematics of Rigid Bodies
Sections 1 through 6
Chapter 6: Kinetics of Rigid Bodies
Sections 1 through 6
Friday, May 22, 2015
9:45 – 12:00 Noon
Room: ENGR 331
Exam
Exam Type: Closed-book, closed-notes. Formula sheet will be provided
Question Types: 10- 15 problems
What to bring: Bring a calculator, eraser, and a couple of good pencils
Grading: Partial credit is allowed for solutions that use the correct concept but has
only a small math error.
Course Topics Covered in the Exam
Chapter 2: Kinematics of Particles
Fundamental Equations
Plane Curvilinear Motion
Velocity is always tangent to the path
Rectangular Coordinates
Velocity and Acceleration in Rectangular Coordinates
Motion of a Projectile
Normal and Tangential Coordinates
For plane curvilinear motion, use the n-t coordinates
Polar Coordinates
For Plane curvilinear motion, use polar coordinates
Polar Coordinates
Direction of Velocity and Acceleration
Relative Velocities and Accelerations
To study the independent motion of two particles, use the relative motion equations.
Constrained Motion
In constrained motion, learned to use the length of the cables
Chapter 3 – Kinetics of Particles
1. Newton’s Second Law Equation
2. Work and Energy Method
3. Linear and Angular Momentum Method
1. Newton’s Second Law Equation
By Newton’s Second Law:
For rectilinear Motion
For Curvilinear motion
Work and Energy Method
Two Methods:
1. When there are non-conservative forces involved (e.g., Friction force)
2. When the forces are conservative (no friction)
Power
Power is generated when a force is applied at some speed. Therefore work depends on the
magnitude of the force and how fast the force is being applied.
Work can be defined as the rate of change of work
= F v cos𝜃
Impulse and Momentum Methods
1. Linear Impulse and Momentum
2. Angular Impulse and Momentum
Linear Impulse and Momentum
Angular Impulse and Momentum
Angular momentum about a point = moment of linear momentum. To find the direction of
angular momentum, use RHT rule.
Conservation of Angular momentum
If the sum of moment of the point where the angular momentum is calculated is zero, then
the angular momentum is conserved, so that
Impact
Two types of impact:
1. Central impact
2. Oblique impact
Impact
In the direct or oblique impacts, you have two equations to solve for unknowns:
1.
2.
Chapter 5 – Kinematics of Rigid Bodies
Rotation about a fixed axis
General Plane Motion
Relative Velocities in general plane motion
Instantaneous center of Zero Velocity
A general plane motion can sometime be treated as rotation about a fixed axis. If the rigid
body has a point of zero velocity, that point is the instantaneous center.
Instantaneous center can be found by the following three methods
Relative Acceleration
In general plane motion of rigid bodies, use of relative acceleration is required.
The equations are:
Kinetics of Rigid Bodies
Equations used in kinetics of particle are extended to include rotation. Here is a comparison
of the kinetics of particle and that of rigid body.
Particle
Newton’s 2nd
Law
Energy
Equations
Rigid Body