2.3 Integrals for Mass Calculations

Lesson Objectives

Apply integration techniques to compute the center of mass of one-, two-, and three-dimensional objects.

Lesson Content

  1. Centers of Mass (JMT)
  2. Application of Triple Integrals (Math is Power)
  3. Misener

Lesson Readings

  1. Moments and Center of Mass (UCDavis)
  2. Center of Mass in Two Dimensions (MathInsight)
  3. Center of Mass, Moments, and Intertia (LTCC)
  4. Center of Mass in Three Dimensions (LTCC)

Lesson Practice Exercises/Activities

  1. Paul’s Online Notes
  2. Worked Examples (Millersville)
  3. Examples and Problems with Solutions (Whitman)