Zaymiey

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

A skater spinning with her arms out pulls them in so her moment of inertia halves. Her rotational kinetic energy:

Answer: doubles.

  • A halves
  • B is unchanged
  • C doubles
  • D quadruples

Correct answer: C. doubles

Explanation: L = Iω conserved, so ω doubles; KE = (1/2)Iω² = (1/2)(I/2)(2ω)² = 2× the original - it doubles.

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.

Read the full System of Particles and Rotational Motion notes →