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These are the first two main chapters from our textbook and what we have covered in class.
Equilibrium of finite bodies. Covers supports, such as pins, rollers, and a fixed end. Two examples: both finding the reactions of a system.
Review of important topics from lectures 1-7.
Dot product (scalar product) review. Includes both the algebraic and geometric equations. One numberless example and another using dot product (scalar product) to find the scalar component of a force.
Notes on couples. Equations on force, moment, and magnitude. Two examples: one two-dimensional finding the resultant moment due to all forces acting and one three-dimensional finding the couple moment as a vector.
Cross product (vector product) review. Includes the algebraic, geometric, and matrix equations. One three dimensional (given an object that is three dimensional) example and one two dimensional (given an object that is two dimensional) example of finding the moment. Both include a second method of solving the moment using matrices.
Moment of a force about a line. Two examples: one simple door-hinge and the moment about a line.
Equivalent systems (statically equivalent). Equations on resultant force and resultant moment. One example comparing different systems and calculating which systems are equivalent. Two different examples using a given system to find an equivalent system under parameters. And finally, three examples without numbers of different types of loads.
Physics concept review. Two examples involving tension. One is a 3D example of finding the tension of the cables. The second is a 2D example of finding the maximum mass of m.