OCR MEI Mechanics Major

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Last updated 4:27 PM on 4/7/26
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14 Terms

1
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centre of mass of a solid hemisphere

3/8 r from base

2
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centre of mass of a solid cone

1/4 h

3
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volume of solid cone

1/3 πr²h

4
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centre of mass of a hollow hemisphere

1/2 r

5
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centre of mass of a hollow cone

1/3 h

6
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volume of a hollow cone

πrl

7
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Ax̄, where A = ∫y dx

∫xy dx

8
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Aȳ, where A = ∫y dx

∫y²/2 dx

9
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Ax̄, where A = ∫x dy

∫x²/2 dx

10
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Aȳ, where A = ∫x dy

∫xy dx

11
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Vx̄, where V = π∫y² dx

∫y²x dx

12
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Vȳ, where V = π∫x² dy

∫x²y dy

13
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Time period of a simple pendulum

T = 2π√(l/g)

14
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Time period of a mass-spring system

T = 2π√(m/k)