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For which of the following does the centre of mass lie outside the body?
  • a)
    Pen
  • b)
    Dice
  • c)
    Rectangular tile
  • d)
    Bangle
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
For which of the following does the centre of mass lie outside the bod...
  • The centre of mass of a bangle lies at its geometric centre which does not lie on or in the object.
  • Hence the centre of mass of a bangle lies outside the body.
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Most Upvoted Answer
For which of the following does the centre of mass lie outside the bod...
Understanding Centre of Mass
The centre of mass of an object is a point that represents the average position of all the mass in the object. For various shapes and structures, this point can lie inside or outside the physical material of the object.
Objects Analyzed
Let's evaluate the four options provided:
  • Pen: The centre of mass lies inside the pen since it is a solid cylindrical shape.
  • Die: The centre of mass is located at the geometric center of the die, which is also within the die itself.
  • Rectangular Tile: The centre of mass is at the center of the rectangle, hence it lies within the tile.
  • Bangle: A bangle is a hollow circular ring. The centre of mass lies at the geometric center of the ring, which is empty in the middle.

Why the Bangle?
The bangle is unique among the options because:
  • Hollow Structure: Unlike the pen, die, and rectangular tile that are solid, a bangle is hollow.
  • Location of Centre of Mass: The centre of mass of a bangle is located at the center of the ring, which is outside the material of the bangle itself.

Conclusion
In summary, the only object among the options where the centre of mass lies outside the body is the bangle. Understanding the geometric and structural characteristics of objects helps in determining the position of their centre of mass.
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