Week 1 Vectors and Kinematics.
HW exercises (due Wed. Sept. 6): KK 1.3, 1.6, 1.16 (AE), 1.17 (MK), 1.20(ZM), 1.21(MM), 1.24 (LP)
Week 2 Newton's Laws.
HW exercises (due Mon. Sep. 11): KK 2.1 (LP), 2.2 (BB), 2.4 (LC), 2.9 (AE), 2.11 (MK), 2.14 (ZM), 2.16 (MM).
Week 3 Forces and Equations of Motion.
HW exercises (due Mon. Sep. 18): 3.2 (MM), 3.5 (LP), 3.8 (BB), 3.10 (LC), 3.12 (AE), 3.17 (MK), 3.26 (ZM)
Week 4 Momentum and center of gravity.
HW exercises (due Wed. Sep. 27 ): KK 4.1 (ZM), 4.2 (MM), 4.4 (LP), 4.6 (BB), 4.11 (LC), 4.16 (AE), 4.23 (MK), Extra problems: 4.22 (ZM), 4.24 (MM).
Week 5 Energy.
HW exercises (due Tuesday Oct. 10 ): KK 5.1 (MM), 5.2 (ZM), 5.3 (MM), 5.4 (LP), 5.6 (BB), 5.9 (LC), 5.10 (AE)
Week 6 Topics in Dynamics.
HW exercises due Oct. 30: (Note: Some of these problems are from Thornton and Marion (TM)). : TM 2.42 (Cube on Cylinder, AE); TM 2.28 (Super-ball and marble, MK), TM 2.53 (Conservative forces, ZM), TM 3.7 (Bobbing mass, MM), TM 2.52 (Potential energy, LP), KK 6.3 (Normal modes and symmetry, BB), KK 6.9 (Collision of m and 2m, LC)
Week 9 Systems of particles.
HW Exercises due Monday, Nov. 6: 7.2 (Drum and Sand), 7.5 (Car on hill), 7.6 (Man on a railroad car), 7.7 (Moment of inertia of triangle), 7.9 (Bar and rollers), 7.27 (Yo yo on table), 7.30 (Sliding and rolling bowling ball).
Week 11 Torque, angular momentum
HW Exercises due Nov. 13: 7.41 (leaning planck), 8.4 (grain mill), 8.9 (Stability of a bicycle), bicycle wheel gyroscope laboratory exercise.
Week 13 Variational calculus
HW Exercises due Nov. 28): Sprecher brewery production schedule. MT 6.7 (Fermat's principle), MT. 6.14 (Geodesic on a cone).
Week 14 Hamilton's principle and Lagrangian dynamics
HW Exercises due Dec. 7): TM 7.3 (Sphere rolling in a cylinder), TM 7.7 (Double pendulum), TM 7.15 (Spring pendulum), TM 7.26a (Hamiltonian for simple pendulum), TM 7.26b (Hamiltonian for Atwood machine), TM 7.28 (Hamiltonian for inverse square force), Falling Ladder using Lagrangian dynamics
Riveting, relevant, and counterintuitive videos involving topics we discuss in this class:
Amazing ball rolling inside a cylinder. (torque, angular momentum, non-inertial reference frames, mouse balls…not what you think)
Siphoning of a string of beads and Understanding the chain fountain. (siphons, tension, gravity, slow-mo video)
Flywheel trebuchet (projectile motion, angular momentum, weaponry!)
Calculating Pi with Colliding blocks (collisions, conservation of momentum, infinite series, even optics)
The Dzhanibekov effect (angular momentum, torque, rotational inertia, saving a soviet space station)
But what is a Fourier Transform? (fourier transforms and their connection to rotation and center of mass)
The infinite pattern that never repeats (from Kepler's laws of planetary motion to non-periodic tiling and quasi-crystals, not really dynamics, but fascinating)