Worksheet: Center of Mass

In this worksheet, you will practice finding the center of mass of solid shapes with rotational symmetry about an axis.

Q1:

A solid is formed when a finite region is rotated through 3 6 0 ∘ about 𝑥 -axis. The region is bounded by the curve 𝑦 = 1 2 𝑥 + 6 2 , the line 𝑥 = 0 , the line 𝑥 = 1 , and the 𝑥 -axis. Determine the position of the centre of mass of that solid using integration.

  • A  6 5 4 7 , 0 
  • B  6 3 9 4 , 0 
  • C  8 5 9 4 , 0 
  • D  6 5 9 4 , 0 
  • E  3 5 4 7 , 0 

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