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System of Particles and Rotational Motion — Revision Notes

BITSAT · Physics

Quick revision notes for System of Particles and Rotational Motion — key concepts, formulas, and definitions for BITSAT Physics preparation.

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Revision Notes — System of Particles and Rotational Motion

Key concepts, formulas, and definitions from System of Particles and Rotational Motion for BITSAT Physics preparation.

Key Topics to Revise

1

Center of Mass

  • Center of mass is the point where entire mass of the system appears to be concentrated
  • For two particles: x_CM = (m₁x₁ + m₂x₂)/(m₁ + m₂)
  • For n-particle system: R_CM = Σmᵢrᵢ/M where M is total mass
2

Angular Velocity and Angular Momentum

  • Angular velocity ω is rate of change of angular position
  • Relation between linear and angular velocity: v = ω × r
  • Angular momentum L = r × p = mvr sin θ
3

Torque and Rotational Dynamics

  • Torque τ = r × F is rotational analog of force
  • τ = rF sin θ = r⊥F = rF⊥
  • Net torque equals rate of change of angular momentum: τ = dL/dt
4

Moment of Inertia

  • Moment of inertia I is rotational analog of mass
  • For particles: I = Σmᵢrᵢ²
  • For continuous bodies: I = ∫r² dm

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Key Concepts

The centre of mass isDescribes rotational motion using angular displacementThe rotational analogue of massTorque is rotational forceA rigid body is in equilibrium

Frequently Asked Questions

What topics are covered in System of Particles and Rotational Motion for BITSAT?
System of Particles and Rotational Motion is an important chapter in BITSAT Physics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Center of Mass, Angular Velocity and Angular Momentum, Torque and Rotational Dynamics, Moment of Inertia.
How important is System of Particles and Rotational Motion for BITSAT?
System of Particles and Rotational Motion is a frequently tested chapter in BITSAT Physics. Questions from this chapter appear regularly in previous year papers. There are 213 practice questions available for this chapter.
How to prepare System of Particles and Rotational Motion for BITSAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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