A-LevelMathematicsMechanics9709/52 · May/June 2019 · Q24 Marks
A uniform lamina ABCEFG is formed from a square ABDG by removing a smaller square CDFE from one corner. AB = 0.7 m and DF = 0.3 m (see diagram). Find the distance of the centre of mass of the lamina from A.
- A uniform lamina ABCEFG is formed from a square ABDG by removing a smaller square CDFE from one corner. AB = 0.7 m and DF = 0.3 m (see diagram). Find the distance of the centre of mass of the lamina from A.[4]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [B1] 0.49, 0.495 from A 0.09, 0.21213... from D or E
- [M1A1] Attempt to take moments about A
- [A1] AX=0.431 m
- [M1] Take moments about AG or AB
- [B1] X=Y=0.305
- [M1] Use Pythagoras's theorem
- [A1] AX=0.431
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