Physics · System of Particles and Rotational Motion
A uniform circular plate of uniform density is placed in the x-y plane with its centre at the origin of the Cartesian coordinate system. A small piece of irregular shape is removed from the centre of the plate and glued to the outer edge (periphery) of the plate in the first quadrant. Which one of the following statements is true?
- 1The moment of inertia about the z-axis increases, and the centre of mass shifts to the first quadrant.✓
- 2The moment of inertia about the z-axis decreases, and the centre of mass shifts to the third quadrant.
- 3The moment of inertia about the z-axis decreases, and the centre of mass shifts to the fourth quadrant.
- 4The moment of inertia about the z-axis increases, and the centre of mass shifts to the second quadrant.
Correct answer
The moment of inertia about the z-axis increases, and the centre of mass shifts to the first quadrant.
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