Moment of Inertia: Choosing the Right Axis
Test whether you apply the parallel and perpendicular axis theorems under the conditions they were actually derived for.
Fourteen questions cover why one body has many moments of inertia, why the parallel axis theorem must start from the centre of mass, why the perpendicular axis theorem works only for laminas, and the standard results for rods, spheres, shells, discs and rings.
Includes the tangent-axis cases, where the usual mistake is shifting from the wrong starting value.
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Sample questions3 of 14 shown
Q1
A student writes in his notes: "Just like mass, every rigid body has one single fixed value of moment of inertia." What is wrong with this statement?
Q2
To find the moment of inertia of a rod about some axis, a student starts from the value about an axis through the rod's END and adds Md² to shift to a new parallel axis. Why is this procedure invalid?
Q3
Which statement of the parallel axis (Huygens–Steiner) theorem is correct?
What This Quiz Covers
- Why the axis is part of the answer
- Parallel axis theorem and its centre-of-mass condition
- Perpendicular axis theorem: planar bodies only
- Rod: ML²/12 against ML²/3
- Solid sphere, shell, disc and ring
- Tangent axes and which value to start from
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