| Exam Board | OCR |
|---|---|
| Module | M4 (Mechanics 4) |
| Year | 2002 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Moments of inertia |
| Type | Small oscillations period |
| Difficulty | Challenging +1.2 This is a standard compound pendulum problem requiring moment of inertia calculation using parallel axis theorem and then applying the compound pendulum period formula. While it involves multiple steps and Further Maths content (M4), the approach is methodical and follows a well-established template with no novel insight required. |
| Spec | 6.04d Integration: for centre of mass of laminas/solids6.05f Vertical circle: motion including free fall |
3 A uniform rectangular lamina $A B C D$ of mass 0.6 kg has sides $A B = 0.4 \mathrm {~m}$ and $A D = 0.3 \mathrm {~m}$. The lamina is free to rotate about a fixed horizontal axis which passes through $A$ and is perpendicular to the lamina.\\
(i) Find the moment of inertia of the lamina about the axis.\\
(ii) Find the approximate period of small oscillations in a vertical plane.
\hfill \mbox{\textit{OCR M4 2002 Q3 [6]}}