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Concept Maps

Centre of Mass — Concept Maps

ICSE · Class 11 · Physics

4 concept maps of Centre of Mass for ICSE Class 11 Physics, each also written out as a text outline. Part of the ICSE Class 11 Physics syllabus.

44 questions30 flashcards10 formulas & key relations5 concepts

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4 Concept Maps

Centre of Mass — Complete Chapter Overview

Centre of Mass — Complete Chapter Overview

The map in words

  • Centre of Mass
    • Definition
      • Point of concentrated mass
      • External forces act here
      • Simplifies system analysis
    • Two Particle System
      • r_cm formula
      • Lies between particles
      • Closer to heavier mass
      • r inversely prop to m
    • n Particle System
      • Weighted average position
      • Cartesian components
      • Equal mass case
      • Moment sum is zero
    • Rigid Body
      • Integration method
      • x_cm = integral x dm by M
      • Uniform bodies
        • Geometric centre
      • Non-uniform bodies
        • Variable density
    • Standard COM Positions
      • Rod at L by 2
      • Semicircular disc 4R by 3pi
      • Hemispherical shell R by 2
      • Solid cone h by 4
      • Hollow cone h by 3
    • Motion of COM
      • v_cm formula
      • F_ext = M times a_cm
      • Isolated system
        • v_cm constant
      • COM at rest
        • stays at rest
    • Momentum Conservation
      • p = M times v_cm
      • F_ext = 0 implies p constant
      • Explosion applications
      • Recoil applications
    • COM vs CG
      • Uniform g field
        • COM equals CG
      • Non-uniform g field
        • CG below COM

Centre of Mass - Complete Concept Hierarchy

Centre of Mass - Complete Concept Hierarchy

The map in words

  • Centre of Mass
    • Definition and Concept
      • Single Point Representation
      • Weighted Average Position
      • Physical Significance
    • Finding Centre of Mass
      • Two Particle System
        • Formula Application
        • Position Vector
      • Multiple Particles
        • Summation Method
        • Cartesian Components
      • Rigid Bodies
        • Integration Method
        • Continuous Distribution
        • Regular Shapes
    • Motion and Forces
      • Newton Second Law Application
      • External vs Internal Forces
      • Acceleration Relationship
    • Momentum and Conservation
      • Total Momentum Formula
      • Isolated Systems
      • Conservation Principle
    • Practical Applications
      • Explosions and Decay
      • Projectile Motion
      • Engineering Design
    • Centre of Mass Properties
      • Location Between Particles
      • Closer to Massive Parts
      • Geometric Centre for Symmetry

Centre of Mass – Complete Chapter Mind Map

Centre of Mass – Complete Chapter Mind Map

The map in words

  • Centre of Mass
    • Definition
      • Weighted Average Position
      • Entire Mass Concentrated Here
      • May Lie Outside Body
    • Two Particle System
      • Formula r_cm
      • Closer to Heavier Mass
      • Equal Masses at Midpoint
      • Distance Ratio r1 by r2 = m2 by m1
    • N Particle System
      • r_cm = Sum mi ri by M
      • Cartesian Components
      • Equal Masses = Centroid
    • Rigid Body
      • Integration Formula
      • Uniform Rod at L by 2
      • Semicircular Wire 2R by pi
      • Semicircular Disc 4R by 3pi
      • Solid Cone h by 4
      • Hollow Cone h by 3
      • Solid Hemisphere 3R by 8
    • Motion of COM
      • F_ext = M times a_cm
      • p_total = M times v_cm
      • Internal Forces Cancel
      • Isolated System
        • F_ext = 0
        • v_cm = constant
        • Momentum Conserved
    • Applications
      • Explosion of Bomb
      • Radioactive Decay
      • Projectile Explosion
      • Gun Recoil
      • Rocket Propulsion
    • COM vs COG
      • Same in Uniform Gravity
      • COG Below COM in Varying g

Centre of Mass as the point whose motion represents the motion of an entire system

Centre of Mass as the point whose motion represents the motion of an entire system

The map in words

  • Centre of Mass as the point whose motion represents the motion of an entire system
    • Idea of centre of mass
    • Two-particle system
    • Equal masses case
    • n-particle system
    • Cartesian components of COM
    • Continuous body COM
    • Rigid body
    • Uniform rod

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Frequently Asked Questions

What are the important topics in Centre of Mass for ICSE Class 11 Physics?
Key topics in Centre of Mass include Idea of Centre of Mass, Centre of Mass of Two Particles, Centre of Mass of n Particles and Continuous Bodies, Centre of Mass of a Uniform Rod. Study these first, then practise questions on each for Class 11 exams.
What do the concept maps for Centre of Mass show?
The 4 maps show how the ideas in Centre of Mass connect: Centre of Mass — Complete Chapter Overview; Centre of Mass - Complete Concept Hierarchy. Each map is also written out as an outline on this page.
How should I revise Centre of Mass for Class 11 exams?
Learn the core ideas first, then work through the 44 practice questions on Centre of Mass. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All ICSE Class 11 Physics Concept Maps

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