THE PRACTICE STUDIO

Go slowly. Ask why. Make it yours.

PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Parallel-axis theorem

Move the rotation axis

A rigid body has mass 2 kg and moment of inertia 0.10 kg·m² about a centre-of-mass axis. A parallel axis is 0.30 m away.

Find its moment of inertia about the new axis.

Organize the givens & assumptions
  • M = 2 kg
  • Icm = 0.10 kg·m²
  • d = 0.30 m

Rigid body; two parallel axes, one through the centre of mass; perpendicular separation 0.30 m.

  1. A0.18 kg m20.18\ \mathrm{kg\,m^2}
  2. B−0.08 kg m2-0.08\ \mathrm{kg\,m^2}
  3. C0.28 kg m20.28\ \mathrm{kg\,m^2}
  4. D0.70 kg m20.70\ \mathrm{kg\,m^2}

Try it on paper first. Free sample problems in every collection include the complete reasoning: find one in this collection →