Answer: mvr (independent of d for uniform circular motion).
- A mvr (independent of d for uniform circular motion)
- B mv(r+d), incorrectly adding the offset distance to the radius
- C mv(r-d), incorrectly subtracting the offset distance from the radius
- D mvd, using only the offset distance and ignoring the radius
Correct answer: A. mvr (independent of d for uniform circular motion)
Explanation: For a particle in circular motion, L about the centre = mvr. About any other point, L depends on geometry. However, for the centre specifically, L = mvr. For point P offset by d, L = mvr (it is constant and equal to mvr for any point on the rotation axis line in 2D uniform circular motion: this is Kepler's 2nd law applied).
Torque about axis O equals the force F multiplied by the perpendicular distance r⊥ from the axis to the line of action of the force, producing rotation.
Concept context
Moment of inertia, torque, angular momentum, rolling motion. Very high JEE weightage.
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