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Indian Navy 10+2 B.Tech Cadet Systems of Particles and Rotational Motion — practice questions

Explore 5 free Systems of Particles and Rotational Motion questions in Indian Navy 10+2 B.Tech Cadet Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Systems of Particles and Rotational Motion questions and exercises with answers

Showing questions 1–5 of 5.

Parallel axis theorem states I_parallel = I_cm + Md². Here d is:Read the answer and worked solution →A figure skater pulls in her arms during a spin. Her moment of inertia decreases. By conservation of L (I × omega), her angular velocity:Read the answer and worked solution →As per your syllabus, eqn 6.19, the linear velocity of a particle of a rigid body rotating with angular velocity ω at position r is which?Read the answer and worked solution →As per your syllabus, the rotational kinematic equation analogous to v = v₀ + at is which?Read the answer and worked solution →Order the steps of EM wave generation by an accelerating chargeRead the answer and worked solution →

Worked practice questions

Parallel axis theorem states I_parallel = I_cm + Md². Here d is:

  1. Time period
  2. The radius
  3. Perpendicular distance between two parallel axes
  4. Total mass
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Correct answer: C. Perpendicular distance between two parallel axes

Parallel axis theorem: I about any axis = I about parallel axis through center of mass + M × d², where d is the perpendicular distance between the axes.

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A figure skater pulls in her arms during a spin. Her moment of inertia decreases. By conservation of L (I × omega), her angular velocity:

  1. Increases
  2. Becomes zero
  3. Decreases
  4. Stays same
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Correct answer: A. Increases

L = I × omega is conserved (no external torque). If I decreases, omega must increase proportionally. So she spins faster. *Note: KE = (1/2) I omega² also increases — extra energy comes from her muscles doing work to pull arms in.*

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As per your syllabus, eqn 6.19, the linear velocity of a particle of a rigid body rotating with angular velocity ω at position r is which?

  1. v = ω · r
  2. v = ω + r
  3. v = ω × r
  4. v = ω / r
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Correct answer: C. v = ω × r

syllabus eqn 6.19: v = ω × r. Magnitude v = ω r sin θ for circular motion v = ω r perpendicular to r.

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