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A thin bar of length L has a mass per unit length , that increases linearly with distance from one end. If its total mass is M and its mass per unit length at the lighter end is _ O , then the distance of the centre of mass from the lighter end is:

Options

  1. AL 2 - ₀ ~L ^2 4 M
  2. BL 3 + ₀ ~L ^2 8 M
  3. CL 3 + ₀ ~L ^2 4 M
  4. D2 ~L 3 - ₀ ~L ^2 6 M

Correct answer

C. L 3 + ₀ ~L ^2 4 M

Step-by-step solution

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