Motion in a Plane
Uttar Pradesh Board · Class 11 · Physics
Quick revision notes for Motion in a Plane — Uttar Pradesh Board Class 11 Physics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Scalars and Vectors
- Scalar quantities have only magnitude (distance, speed, mass, temperature)
- Vector quantities have both magnitude and direction (displacement, velocity, acceleration, force)
- Vectors obey triangle law or parallelogram law of addition
Vector Operations
- Multiplication by scalar: λA changes magnitude by factor λ, direction same if λ > 0, opposite if λ < 0
- Vector addition: Head-to-tail method or parallelogram method
- Vector addition is commutative: A + B = B + A
Resolution of Vectors and Components
- Any vector can be resolved into components along chosen directions
- Component vectors: Ax = A cos θ (x-component), Ay = A sin θ (y-component)
- A = Axî + Ayĵ (in 2D), A = Axî + Ayĵ + Azk̂ (in 3D)
Analytical Method of Vector Addition
- Add vectors by adding their corresponding components
- If R = A + B, then Rx = Ax + Bx, Ry = Ay + By, Rz = Az + Bz
- More accurate than graphical method
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