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⚛️ Physics  ·  System of Particles and Rotational Motion  ·  NEET & JEE

The radius of gyration of a body has the same dimensions as:

Answer: length.

  • A mass
  • B area
  • C time
  • D length

Correct answer: D. length

Explanation: Since I = Mk<sup>2</sup>, the radius of gyration k = √(I/M) has the dimension of length and is measured in metres.

axis OPr⊥Fττ = r⊥ × F = r × F × sinθ

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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