| Exam Board | CAIE |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2014 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Centre of Mass 1 |
| Type | L-shaped or composite rectangular lamina |
| Difficulty | Standard +0.8 This is a multi-part centre of mass problem requiring integration to find centroids of composite shapes, likely involving both standard shapes and regions requiring calculus. The three-part structure and M2 level suggests moderate complexity with systematic application of centroid formulas and possibly moment calculations, placing it somewhat above average difficulty. |
| Answer | Marks | Guidance |
|---|---|---|
| 3 (i) | 0.4g =16e/0.8 | |
| e = 0.2 AG | M1 | |
| A1 | 2 | Uses mg =16ext/0.8 |
| (ii) | EE at C =16×0.62/ ( 2×0.8 ) |
| Answer | Marks |
|---|---|
| u = 2.83 ms | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| A1 | 3 | KE/EE/PE balance attempted with 4 |
| Answer | Marks |
|---|---|
| (iii) | 16×0.62/ ( 2×0.8 ) |
| Answer | Marks | Guidance |
|---|---|---|
| v =2.45 ms | M1 | |
| A1 | 2 | KE/EE/PE balance attempted with 3 |
Question 3:
--- 3 (i) ---
3 (i) | 0.4g =16e/0.8
e = 0.2 AG | M1
A1 | 2 | Uses mg =16ext/0.8
(ii) | EE at C =16×0.62/ ( 2×0.8 )
0.4u2/2+16×0.22/ ( 2×0.8 )
+0.4g (1.4−1.0)=16×0.62/(2×0.8)
–1
u = 2.83 ms | B1
M1
A1 | 3 | KE/EE/PE balance attempted with 4
terms.
8 not allowed
(iii) | 16×0.62/ ( 2×0.8 )
=0.4v 2/2+0.4g (1.4−0.8)
–1
v =2.45 ms | M1
A1 | 2 | KE/EE/PE balance attempted with 3
terms.\includegraphics{figure_3}
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\hfill \mbox{\textit{CAIE M2 2014 Q3}}