Practice · 12 problems · Paper

Printable Worksheet

Twelve problems to work by hand, from positions and unit vectors to the forces on a pin pushed along a spiral groove. Print it, show your work in the space provided, then check your final answers here.

Cylindrical Coordinates · Worksheet

12 problems · Parts A–C
Name Course / section Date

Show your work in the space provided. Unless a problem says otherwise: angles in radians in every formula (rates in rad/s), \(0 \le \theta < 2\pi\) for positions, \(g = 9.81\ \text{m/s}^2\), exact values first where they exist and then decimals to 4 significant figures, and units on every answer. You may use the Formula Sheet.

Answer sheet: final answers only.

How to use this worksheet

  1. Print it, or save it as a PDF. Each problem gets a dotted work space. It fits on six Letter or A4 pages.
  2. Work on paper. Part A is positions, unit vectors and velocity, Part B is acceleration and guided paths, and Part C is kinetics: equations of motion, guides and central forces. Each problem names the lesson to review if you get stuck.
  3. Check your final answers with Show answer under each problem, or show them all at once. Only final answers are given here.

Part A · Position, unit vectors and velocity

Problems 1–4 · Basic to intermediate · Lessons 2–4

Part B · Acceleration and guided paths

Problems 5–8 · Intermediate to challenge · Lessons 5–6

Part C · Kinetics

Problems 9–12 · Intermediate to challenge · Lessons 7–8