MEX-022 · Relativity and rotational motion Sample material

Rotational motion of a rigid body

Rotation of a rigid body about a fixed axis: torque, moment of inertia, the parallel-axis (Steiner) theorem, the basic equation of rotational dynamics, angular momentum and rotational kinetic energy.

Estimated time: 2 h 50 min 5 activities

Learning objective

Master the concepts of torque and moment of inertia.
Calculate the moment of inertia about any parallel axis with the Steiner theorem.
Apply the basic equation of rotational dynamics $M = I\varepsilon$.
Learn to use conservation of angular momentum and rotational energy in problems.

Expected outcomes

Knows the moments of inertia of a disc, ring, sphere and rod and applies the Steiner theorem.
Finds accelerations and speeds for pulleys, spools and rolling bodies.
Explains conservation of angular momentum (figure skater, gyroscope).

Interactive modelRigid-body rotation: torque and moment of inertia

Activities

Lecture
Lecture · 1 h 15 min · required
Problem solving: rotational motion of a rigid body
Practice · 1 h 15 min · required
The Steiner (parallel-axis) theorem
Self-study · 6 h 15 min · optional
Gyroscopes
Self-study · 6 h 15 min · optional
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Problem solving: rotational motion of a rigid body
  • Final test — at least 70%