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Classical Mechanics

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Classical Mechanics

Acceleration

The vector rate of change of velocity with respect to time.

a = dv/dt = d²r/dt² m/s²
Classical Mechanics

Amplitude

The maximum magnitude of displacement from the equilibrium position in an oscillating or wave system.

A = x_max m
Classical Mechanics

Angular Acceleration

The rate of change of angular velocity with respect to time.

α = dω/dt = τ / I rad/s²
Classical Mechanics

Angular Displacement

The angle through which a point or line rotates about a specified axis in a specified direction.

θ = s / r rad (radians)
Classical Mechanics

Angular Momentum

The rotational analog of linear momentum, defined as the product of moment of inertia and angular velocity.

L = I ω = r × p kg·m²/s (J·s)
Classical Mechanics

Angular Velocity

The vector rate of change of angular displacement with respect to time.

ω = dθ/dt rad/s
Classical Mechanics

Apparent Weight

The effective weight of a body, equal to the normal contact force supporting it in an accelerating frame.

W_app = m (g + a) N
Classical Mechanics

Archimedes' Principle

The principle stating that any object fully or partially submerged in a fluid experiences an upward buoyant force equal to the weight of…

Fb = m_fluid g = ρ_fluid V_displaced g N