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Part BCSIR NET June 2024parallel-axis-shift-forgotten

Parallel axis shift forgotten

Consider a solid circular cylinder of radius 2 meters and height 3 meters of uniform density. If the density of the cylinder is kg/meter, then the moment of inertia (in kg meter of the cylinder about a diameter of its base is

  1. A.
  2. B.
  3. C.
  4. D.

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

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50 are analysed free — try those first.

Related counterexample: The generalised momentum ∂L/∂q̇ always equals mass × velocity

More on this topic

The chapter behind this: Lagrangian mechanics — free to read

From Classical MechanicsLagrangian formalism and generalised coordinates

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