Motion in a Plane — Concept Maps
ICSE · Class 11 · Physics
4 concept maps of Motion in a Plane for ICSE Class 11 Physics, each also written out as a text outline. Part of the ICSE Class 11 Physics syllabus.
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Motion in a Plane — Complete Chapter Mind Map
The map in words
- Motion in a Plane
- Scalars and Vectors
- Scalar Examples
- Mass
- Speed
- Energy
- Work
- Vector Examples
- Velocity
- Force
- Displacement
- Momentum
- Types of Vectors
- Polar Vectors
- Axial Vectors
- Scalar Examples
- Vector Algebra
- Representation
- Arrow notation
- Position vector
- Displacement vector
- Null vector
- Addition Methods
- Triangle Law
- Parallelogram Law
- Polygon Method
- Resultant Formula
- R equals root A2 plus B2 plus 2AB cosTheta
- tan alpha equals B sinTheta over A plus B cosTheta
- Subtraction
- A minus B equals A plus negative B
- Representation
- Unit Vector and Resolution
- Unit Vector
- Magnitude equals 1
- A hat equals A over mod A
- Orthogonal Vectors
- i hat along X
- j hat along Y
- k hat along Z
- Components 2D
- Ax equals A cosTheta
- Ay equals A sinTheta
- Components 3D
- A equals Ax i plus Ay j plus Az k
- Unit Vector
- Products of Vectors
- Dot Product
- A dot B equals AB cosTheta
- Result is Scalar
- Work Power Flux
- Commutative
- Cross Product
- A cross B equals AB sinTheta n hat
- Result is Vector
- Torque Angular Momentum
- Anti commutative
- Dot Product
- Projectile Motion
- Equations
- T equals 2u sinTheta over g
- H equals u2 sin2Theta over 2g
- R equals u2 sin2Theta over g
- Key Results
- Max range at 45 degrees
- Parabolic trajectory
- Same R for theta and 90 minus theta
- From Height h
- T equals root 2h over g
- R equals u times root 2h over g
- Equations
- Circular Motion
- Uniform Circular Motion
- Speed constant
- Velocity changes
- Centripetal acceleration
- Formulas
- ac equals v2 over r
- omega equals 2pi over T
- v equals r omega
- Uniform Circular Motion
- Scalars and Vectors
Motion in a Plane - Comprehensive Concept Map
The map in words
- Motion in a Plane
- Vectors
- Scalar vs Vector
- Scalar quantities
- Vector quantities
- Vector Operations
- Addition methods
- Triangle law
- Parallelogram law
- Subtraction
- Multiplication
- Scalar product
- Vector product
- Addition methods
- Vector Representation
- Components
- Rectangular components
- Unit vectors
- Magnitude and direction
- Notation
- Components
- Scalar vs Vector
- Position and Displacement
- Position vectors
- Displacement vectors
- Relative position
- Projectile Motion
- Horizontal launch
- Angular projection
- Equations of motion
- Range formula
- Maximum height
- Time of flight
- Trajectory equation
- Circular Motion
- Centripetal acceleration
- Angular velocity
- Tangential velocity
- Relative Velocity
- Definition
- Applications
- Rain and man
- River crossing
- Perpendicular motion
- Vectors
Motion in a Plane — Complete Chapter Mind Map
The map in words
- Motion in a Plane
- Scalars and Vectors
- Scalars
- Magnitude only
- Mass Speed Time
- Ordinary algebra
- Vectors
- Magnitude and Direction
- Displacement Velocity Force
- Triangle or Parallelogram Law
- Types of Vectors
- Polar Vectors
- Axial Vectors
- Scalars
- Vector Operations
- Addition
- Triangle Law
- Parallelogram Law
- Polygon Method
- Subtraction
- A minus B equals A plus negative B
- Resolution
- Ax equals A cos theta
- Ay equals A sin theta
- Unit Vectors
- i hat j hat k hat
- Magnitude equals 1
- Addition
- Vector Products
- Dot Product
- A dot B equals AB cos theta
- Result is Scalar
- Work Power Flux
- Cross Product
- A cross B equals AB sin theta n hat
- Result is Vector
- Torque Angular Momentum
- Dot Product
- Projectile Motion
- Horizontal Motion
- Uniform velocity
- vx equals u cos theta
- Vertical Motion
- Uniformly accelerated
- g acts downward
- Key Formulas
- T equals 2u sin theta over g
- H equals u squared sin squared theta over 2g
- R equals u squared sin 2 theta over g
- Special Cases
- Max Range at 45 degrees
- Complementary angles
- Horizontal Motion
- Uniform Circular Motion
- Centripetal Acceleration
- a equals v squared over r
- Directed to centre
- Angular Quantities
- omega equals 2 pi over T
- v equals r omega
- Applications
- Satellites
- Curved Roads
- Centripetal Acceleration
- Scalars and Vectors
Motion in a Plane
The map in words
- Motion in a Plane
- Scalar Quantities
- Vector Quantities
- Vector Classification
- Position and Displacement Vectors
- Zero Vector
- Equality and Negatives of Vectors
- Addition and Subtraction of Vectors
- Scalar Multiplication and Unit Vector
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