Kinematic Quantities and Linear Mass Density

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Covers the equations for curves and surfaces in space, including parametric and particular surfaces.

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Explores free undamped oscillations in a harmonic oscillator and their graphical representation over time.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the fundamental concepts of kinematics, including reference frames, position vectors, velocity, acceleration, and trajectories.

Covers trajectories, motion equations, velocity properties, acceleration components, and integration of motion equations.

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Covers the dynamics of a block connected to a spring, deriving equations of motion and solving for key time points.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Covers the analysis of motion using Cartesian and polar coordinates, focusing on kinematics and acceleration components.