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Lecture
Vector Manipulation: Live Written Corrections
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Related lectures (45)
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Explores indicial notation, vectors, and the transformation law in the context of mass flux density.
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Coordinate Systems: Polar, Cylindrical, Spherical
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Polar Coordinates: Position and Velocity
Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.
General Physics: Mechanics
Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.
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Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.
Math Revision: Vectors
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Covers the fundamentals of vectors, including components, coordinates, and numerical applications.
Systems of Forces in 3D
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Explores systems of forces in three dimensions, emphasizing moments and couples, equilibrium, and scalar components.
System of Forces: 2D and 3D
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Covers the classification of forces, resultant, and systems of forces in 2D and 3D.
Systems of Forces III and Equilibrium 2D
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Covers systems of forces in 3D, equilibrium in 2D, system isolation, free-body diagrams, supports, and joints.
Structural Mechanics: Vectors and Cartesian Coordinates
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Covers the fundamentals of structural mechanics, focusing on vectors and Cartesian coordinates.
Analytical Study of Space
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Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Introduction to Structural Mechanics
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Introduces resultants in 3D, equilibrium in 2D, and free-body diagrams for structural analysis.
Structural Mechanics: Systems of Forces
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Covers systems of forces, moments, couples, and stress in 2D and 3D, as well as the effect of force-couple systems.
Introduction to Structural Mechanics: Systems of Forces
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Introduces the fundamental concepts of forces, moments, and their classifications in structural mechanics.
Linear Independence and Bases
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Mechanics: Introduction and Calculus
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Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Differential Geometry of Surfaces
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Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Orthogonality and Least Squares Method
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Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.
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