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

Two disks of equal mass are joined coaxially. Their MIs about their common axis are 3 kg·m² and 5 kg·m². What is the combined MI?

Answer: 8 kg·m².

  • A 8 kg·m²
  • B 4 kg·m²
  • C 15 kg·m²
  • D 2 kg·m²

Correct answer: A. 8 kg·m²

Explanation: For bodies on the same axis, moments of inertia simply add: I<sub>total</sub> = I<sub>1</sub> + I<sub>2</sub> = 3 + 5 = 8 kg·m².

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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