Weekly homework

Please, note that while some of the chapter-end problems will be assigned explicitly, the students are encouraged and expected to review and attempt the majority of the chapter-end problems in the book for the readings assigned on a weekly basis.

All Textbook references are to An Introduction to Mechanics, second edition, by Daniel Kleppner and Robert Kolenkow. Cambridge University Press, 2013.

Before coming to class: review your Year 1 notes
  • PHYS 1P21/1P91 and PHYS 1P22/1P92, or equivalent
  • PPLATO also contains useful review links
  • PHYS 1P97

    In particular, refresh your python skills. In every lab you will need to record, graph, and analyze the data. A self-check: can you read a data file, plot it, fit a curve to it and determine parameters of the fit and their errors? For example, consider this set of measurements of load voltage $V$, in Volts, and load current $I$, in mA, in a circuit. Plot power ($P=V\times I$) delivered to the load as a function of load resistance ($R=V/I$), find the maximum, and determine at which $R$ value it occurs.

    The first lab session will teach you how to do the above. A simple-to-learn yet powerful software eXtrema will be introduced that will enable you to quickly accomplish the above task. In the lab, you may use eXtrema, python, or any other software you know, but the lab instructor(s) may not be able to offer much help with packages they may not know.

Week 1. Vectors. Components of motion. Polar coordinates.
Week 2. Integration of kinematic equations.
  • K&K2, Ch.1.7-1.10
Week 3. Newton's Laws.
  • K&K2, Ch.2
  • K&K2, Ch.3.4-3.6.
  • Assignment 2, due 2025-10-03.
Week 4. Momentum, work, energy
  • K&K2, Ch.3.7
  • K&K2, Ch.4.1;4.6.
  • K&K2, Ch.5.1-5.3.1; 5.6-5.7; 6.1-6.3.
Week 5. A simple harmonic oscillator
Week 6. Work, energy and momentum in 3D

Week 7. Reading week

Week 8. Midterm. Conservation of energy
  • In-class midterm (on all of the material up to this point)
  • Center-of-mass; reduced mass.