Chapter 7 of 30
Concept Maps
Motion of Rigid Body — Concept Maps
NIOS · Class 12 · Physics
4 concept maps of Motion of Rigid Body for NIOS Class 12 Physics, each also written out as a text outline. Part of the NIOS Class 12 Physics syllabus.
45 questions26 flashcards17 formulas & key relations5 concepts
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4 Concept Maps
Motion of Rigid Body - Concept Hierarchy
The map in words
- Rigid Body Motion
- Centre of Mass
- Definition and calculation
- CM motion under external forces
- Examples in 2D and 3D
- Binary systems
- Types of Motion
- Translational motion
- All particles parallel paths
- Described by CM motion
- Rotational motion
- Circular paths about axis
- Same angular velocity
- Combined motion
- Rolling without slipping
- General motion analysis
- Translational motion
- Rotational Dynamics
- Moment of Inertia
- Definition I = sum mr squared
- Radius of gyration
- Common shapes formulas
- Parallel axes theorem
- Perpendicular axes theorem
- Torque and force analogy
- Moment of Inertia
- Angular Motion
- Torque τ = r × F
- Angular acceleration
- Kinematic equations
- τ = Iα equation
- Conservation Laws
- Angular momentum L = Iω
- Conservation principle
- Real world applications
- Skaters divers pulsars
- Centre of Mass
Motion of Rigid Body — Complete Concept Map
The map in words
- Motion of Rigid Body
- Rigid Body
- Fixed shape and size
- Distances between particles constant
- Examples: ball, disc, Earth
- Not rigid: liquids, sand
- Centre of Mass
- Formula: xcm = Sum mixi divided by M
- CM moves as single particle
- External forces determine CM motion
- Internal forces cancel out
- Can lie outside the body
- Types of Motion
- Translational
- All particles have same velocity
- CM traces the path
- F = Ma
- Rotational
- About fixed axis
- All particles have same omega
- Speed v = r times omega
- Rolling
- Translation plus Rotation
- Condition v = R times omega
- Translational
- Moment of Inertia
- I = Sum mi ri squared
- Unit: kg m squared
- Radius of Gyration K
- I = M K squared
- Standard Values
- Solid sphere: 2MR squared by 5
- Ring: MR squared
- Disc: MR squared by 2
- Rod centre: ML squared by 12
- Parallel Axis Theorem
- I = Icm plus Md squared
- Perpendicular Axis Theorem
- Iz = Ix plus Iy
- Only for laminas
- Torque
- tau = r cross F
- Magnitude: rF sin theta
- Unit: Nm
- Equation of motion: tau = I alpha
- Couple
- Two equal opposite forces
- Torque = F times d
- Net force is zero
- Angular Momentum
- L = I omega
- Unit: kg m squared per s
- Rate of change = Torque
- Conservation Law
- If tau = 0, L is constant
- I1 omega1 = I2 omega2
- Diver, Skater, Pulsar examples
- Rolling on Inclined Plane
- KE total = half Mv squared + half I omega squared
- v = sqrt of 2gh divided by 1 plus I by MR squared
- Speed independent of mass and radius
- Sphere faster than Cylinder faster than Ring
- Rigid Body
Motion of Rigid Body - Concept Overview
The map in words
- Rigid Body Motion
- Rigid Body Definition
- Fixed particle separation
- Shape preservation
- Ideal approximation
- Centre of Mass
- Position calculation
- Simplifies translation
- External forces effect
- CM of standard bodies
- Translational Motion
- All particles move parallel
- CM motion represents body
- Newton's 2nd law applies
- Rotational Motion
- Particles move in circles
- About fixed axis
- Angular quantities
- Moment of Inertia
- Definition and calculation
- Parallel axes theorem
- Perpendicular axes theorem
- Standard formulas
- Radius of gyration
- Torque
- Definition and units
- Moment arm concept
- Direction by right-hand rule
- Couple definition
- Angular Motion
- Angular acceleration
- Kinematic equations
- Relation to torque
- Angular Momentum
- Definition
- Conservation principle
- Real-world examples
- Combined Motion
- Translation and rotation
- Kinetic energy split
- Rolling without slipping
- Energy conservation
- Rigid Body Definition
Motion of Rigid Body
The map in words
- Motion of Rigid Body
- Rigid Body
- Centre of Mass
- Translational Motion
- Rotational Motion
- Moment of Inertia
- Torque
- Angular Momentum
- Conservation of Angular Momentum
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Explore DiagramsFrequently Asked Questions
What are the important topics in Motion of Rigid Body for NIOS Class 12 Physics?
Key topics in Motion of Rigid Body include Rigid Body – Definition and Concept, Centre of Mass (CM), Translational vs Rotational Motion, Moment of Inertia. Study these first, then practise questions on each for the NIOS Class 12 board exam.
What do the concept maps for Motion of Rigid Body show?
The 4 maps show how the ideas in Motion of Rigid Body connect: Motion of Rigid Body - Concept Hierarchy; Motion of Rigid Body — Complete Concept Map. Each map is also written out as an outline on this page.
How should I revise Motion of Rigid Body for the NIOS Class 12 board exam?
Learn the core ideas first, then work through the 45 practice questions on Motion of Rigid Body. 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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Practice Quiz
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Important Questions
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Revision Notes
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Formula Sheet
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Chapter Summary
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Study Plan
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Flashcards
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Syllabus
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