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Determinig the CoG of a composite part

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Centre of Gravity

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A component consists of 3 horizontal concentric solid cylinders, A, B & C fixed together as shown in the diagram.

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\"Component

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The dimensions and material properties are:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
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Cylinder

\n		\n

Material

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Density ρ (kgm-3)

\n		\n

Diameter (mm)

\n		\n

Length (mm)

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\n

A

\n		\n

Aluminium Alloy

\n		\n

ρA

\n		\n

{Den_a}

\n		\n

dA

\n		\n

{Dia_a}

\n		\n

lA

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{Len_a}

\n
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B

\n		\n

Copper Alloy

\n		\n

ρB

\n		\n

{Den_b}

\n		\n

dB

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{Dia_b}

\n		\n

lB

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{Len_b}

\n
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C

\n		\n

Steel

\n		\n

ρC

\n		\n

{Den_c}

\n		\n

dC

\n		\n

{Dia_c}

\n		\n

lC

\n		\n

{Len_c}

\n
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Part a) Calculate the total volume of the component.

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[4 Marks]

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Part b) Calculate the total mass of the component.

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[4 Marks]

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Part c) Calculate the total weight of the component.

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[2 Marks]

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Part d) Calculate the coordinate of the Centre of Gravity along its length.

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[5 Marks]

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Ensure you show the position of the CoG on a diagram in your workings.

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[5 Marks]

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