Theresa Honein

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Lecture Agendas

Lecture 1 - Monday Aug 26

• Dynamics: An overview.
• Review of vector geometry (dot product, cross product, magnitude, projections, Cartesian coordinates)
• Basic particle kinematics concepts (position vector, velocity, acceleration)
• Rectilinear motion (given acceleration as function of time, speed, or position)

Lecture 2 - Wednesday Aug 28

• Rectilinear motion example, MKB 2/28 from Set 1.
• Arc-length.
• Particle kinetics: BoLM and action-reaction.
• Four steps to problem solving using the balance of linear momentum (BoLM, a.k.a. Newton’s second law or Euler’s first law).
• Example: Position, Velocity, Acceleration, and Cross Product

Lecture 3 - Monday Sep 2

• Cylindrical polar coordinate system.

Lecture 4 - Wednesday Sep 4

• Explaining the components of the acceleration vector.
• Gravitational force model.
• Constrained motion.

Lecture 5 - Monday Sep 9

• The Serret-Frenet basis.

Lecture 6 - Wednesday Sep 11

• See this video.
• The Serret-Frenet basis cont. (curvature of a plane curve, the S-F relations, time permitting, example Set 5, 03/043)

September 16 - No class

September 18 - No class

Lecture 7 - Monday Sep 23

• Explaining the spring force
• Spring Force Examples
• Problem 2-151
• Explaining the friction force
• Particle on curve vs. surface
• Problem 03-071

September 25 - No class

September 30 - No class

October 2 - No class

Lecture 8 - Monday October 7

• Work and Energy for a single particle
• Problem 03-084
• Lecture recording and transcript
• Tablet Notes

Lecture 9 - Wednesday October 9

• Linear Momentum, Angular Momentum, and their conservations
• Kepler’s laws: orbital mechanics
• Lecture recording and transcript
• Tablet Notes

Lecture 10 - Monday October 14

• Collisions
• Lecture recording and transcript
• Tablet Notes

Lecture 11 - Wednesday October 16

• Systems of Particles.
• Lecture recording and transcript
• Table Notes
• Note: You are not able to solve all Set 11 problems yet.

Lecture 12 - Monday October 21

• Systems of Particles, cont.
• Lecture recording and transcript
• Midterm 1 review exercises

Lecture 13 - Wednesday October 23

• Rigid body kinematics: relating the velocities and accelerations of material points on the same rigid body.
• Lecture recording and transcript

Lecture 14 - Monday October 28

• Problems from Sets 6-11.
• Lecture recording and transcript

Lecture 15 - Wednesday October 30

• HW5 and HW6 correction
• Lecture recording and transcript

Lecture 16 - Monday November 4

• Exercises on velocity and acceleration analysis of two material points on a rigid body.
• The instantaneous center of rotation and examples.
• Lecture recording and transcript

Lecture 17 - Wednesday November 6

• Coriolis Effect - National Geographic Youtube video
• Rigid body kinematics: Particles in noninertial frames. (Relating the velocities and accelerations of one material point on a rigid body and another point moving with respect to the rigid body.)
• Examples.
• Lecture recording and transcript

Lecture 18 - Monday November 11

• Notes: Center of Mass, Linear Momentum, Angular Momentum
• More examples: Rolling and Sliding
• Rigid body momemta
• Mass moments of inertia
• Lecture recording and transcript

Lecture 19 - Wednesday November 13

• Notes: RB Kinetics
• Parallel axis theorem
• Radius of gyration
• Rigid Body Kinetics: The balance laws
• Purely translational motion of a rigid body
• Lecture recording and transcript

Lecture 20 - Monday November 18

• Notes: RB Kinetics
• Fixed point rotation
• Lecture recording and transcript
• Tablet Notes

Lecture 21 - Wednesday November 20

• General plane motion
• Lecture recording and transcript

Lecture 22 - Monday November 25

• Midterm 2 Review
• Lecture recording and transcript
• Tablet Notes

Lecture 23 - Wednesday November 27

• No Class

Lecture 24 - Monday December 2

• Rigid Body Kinetics: The work-energy theorem

Lecture 25 - Wednesday December 4

• Rigid Body Kinetics: Impulse momentum
• Cheetah uses Tail and Conservation of Angular Momentum to Chase Down Gazelle
• Rolling objects by Walter Lewin

Lecture 26 - Monday December 9

• Final exam review

Lecture 27 - Wednesday December 11

• Final exam review

Reading Period: Dec 13-15, 2024

Final Exam Period: December 16-22, 2024