Motion in a Plane
Madhya Pradesh Board · Class 11 · Physics
All formulas from Motion in a Plane in Madhya Pradesh Board Class 11 Physics. Key equations, constants, and identities for board exam preparation.
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Formulas
1. Basics: Scalars, Vectors, and Vector Rules
|λA| = λ|A| if λ > 0
A - A = 0, |0| = 0
A + 0 = A; λ0 = 0; 0A = 0
A - B = A + (-B)
2. Resolution of Vectors and Components
A_x = A cosθ, A_y = A sinθ
A = √(A_x² + A_y²); tanθ = A_y/A_x
A = A_x î + A_y ĵ
A = A_x î + A_y ĵ + A_z k̂
r = x î + y ĵ + z k̂
3. Vector Addition: Graphical and Analytical Methods
R = √(A² + B² + 2AB cosθ)
R/sinθ = A/sinβ = B/sinα
R_x = A_x + B_x; R_y = A_y + B_y
T_x = a_x + b_x - c_x; T_y = a_y + b_y - c_y; T_z = a_z + b_z - c_z
4. Motion in a Plane: Position, Velocity, and Acceleration
Δr = r' - r
v̄ = Δr/Δt
v = dr/dt
ā = Δv/Δt
a = dv/dt
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