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Worksheet: Center of Mass

Q1:

A solid is formed when a finite region is rotated through 3 6 0 โˆ˜ about ๐‘ฅ -axis. The region is bounded by the curve ๐‘ฆ = 1 2 ๐‘ฅ + 6 2 , the line ๐‘ฅ = 0 , the line ๐‘ฅ = 1 , and the ๐‘ฅ -axis. Determine the position of the centre of mass of that solid using integration.

  • A ๏€ผ 6 5 4 7 , 0 ๏ˆ
  • B ๏€ผ 6 3 9 4 , 0 ๏ˆ
  • C ๏€ผ 8 5 9 4 , 0 ๏ˆ
  • D ๏€ผ 6 5 9 4 , 0 ๏ˆ
  • E ๏€ผ 3 5 4 7 , 0 ๏ˆ