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A thin circular disk is in the xy plane as shown in the figure. The ratio of its moment of inertia about z and z' axes will be:
  • a)
    1 : 3
  • b)
    1 : 4
  • c)
    1 : 5
  • d)
    1 : 2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A thin circular disk is in the xy plane as shown in the figure. The ra...
The problem involves a thin circular disk in the xy plane, and we need to find the ratio of its moment of inertia about the z and z' axes.
  • The moment of inertia about the z-axis is calculated using the formula for a circular disk, which is (1/2)MR².
  • For the z' axis, which is the axis through the centre parallel to the plane, the formula is (1/4)MR² + (1/12)MR².
  • Simplifying, the moment of inertia about the z' axis becomes (1/3)MR².
  • The ratio of the moment of inertia about the z and z' axes is therefore 1 : 3.
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