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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 ρ\rho kg/meter3^{3}, then the moment of inertia (in kg meter2)^{2}) of the cylinder about a diameter of its base is

  1. A.48πρ48\pi\rho✓ Correct
  2. B.43πρ43\pi\rho
  3. C.24πρ24\pi\rho
  4. D.4πρ4\pi\rho

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, and why this one tests execution slip.

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50 are analysed free — try those first.

The trap it tests

Execution slip

The idea was right. The computation was not.

Drill statements like this

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 Mechanics › Lagrangian formalism and generalised coordinates

Last revised . Found a mistake? Tell us — corrections are the fastest thing we act on.

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