Practice · 35 min

Self-Check Quiz

Fifteen questions on the core skills of Lessons 1–8: moments of inertia of particles and standard bodies, the parallel-axis theorem, composite bodies, products of inertia, the inertia tensor and principal axes. Submit to see your score and a worked solution for every question.

Before you start

How it works

  • Work on your own with a calculator and scrap paper. Try it without notes first: that shows you what you really know.
  • Nothing is marked until you press Submit quiz. Until then you can move between questions and change any answer.
  • Each question is either right or wrong. When a question has several boxes, every box must be right.
  • After you submit, you see your score, a review of every question with a worked solution, and a results sheet you can print or save as a PDF.
  • Products of inertia use the lessons' definition, \(I_{xy} = \int xy\,dm\); in the inertia tensor they appear with a minus sign.

Typing answers

To enterType
\(\tfrac25(3)(0.1)^2\)2/5*3*0.1^2
\(\tfrac1{12}(2)(1.2^2)\)2*1.2^2/12
\(\sqrt{0.595/4.5}\)sqrt(0.595/4.5)
\(\pi(0.1)^2\)pi*0.1^2
\(-0.02\)-0.02

Each box shows how it read your entry (for example = 0.012), so you can check it before you submit. Type only the number; the unit is shown next to the box.

The quiz

After the quiz

Use your results to decide what to do next. After you submit, the Results by lesson table under your score links straight to the lessons behind any questions you missed.