Figure shows triangular lamina which can rotate about different axes. Moment of inertia is maximum, about…

Figure shows triangular lamina which can rotate about different axes. Moment of inertia is maximum, about the axis
  1. PR
  2. QS
  3. QR
  4. PQ

Solution

The moment of inertia is given by $\mathrm{I}=\sum \mathrm{m}_{\mathrm{i}} \mathrm{r}_{\mathrm{i}}^2$ If the distance of particles from the axis of rotation is larger, then the moment of inertia will be larger. For axis $\mathrm{QR}$, the particles will be situated at greater distances and hence the moment of inertia will be greater.

Asked in: MHT CET 2021 (23 Sep Shift 2)

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