CAIE M2 2014 June — Question 1

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2014
SessionJune
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCentre of Mass 1
TypeL-shaped or composite rectangular lamina
DifficultyStandard +0.3 This is a standard centre of mass question from M2, likely involving finding the centre of mass of a composite shape or system of particles using the standard formula. While it requires careful calculation and understanding of the centre of mass concept, it follows a well-practiced procedure with no novel problem-solving required, making it slightly easier than average.

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Question 1:
AnswerMarks
1–12sinθ = 12sinθ – 1.6g
θ = 41.8°
OR
0 = 12sin θ × 1.6 –1 × 10 × 1.6 2
2
θ = 41.8°
OR
0 = 12sinθ – 10 × 0.8
AnswerMarks
θ = 41.8°M1
A1
M1
A1
M1
AnswerMarks Guidance
A12 sin θ = (1.6g / 2)12
Uses s=ut+ 1at2
2
Uses v = u + at at the highest point
Question 1:
1 | –12sinθ = 12sinθ – 1.6g
θ = 41.8°
OR
0 = 12sin θ × 1.6 –1 × 10 × 1.6 2
2
θ = 41.8°
OR
0 = 12sinθ – 10 × 0.8
θ = 41.8° | M1
A1
M1
A1
M1
A1 | 2 | sin θ = (1.6g / 2)12
Uses s=ut+ 1at2
2
Uses v = u + at at the highest point
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