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Mathematically analyze and manipulate vectors in two and three dimensions
Assessment Strategies
Quiz, exam, recitation activity, report
Criteria
Express vectors in terms of Cartesian unit vectors
Add and subtract vectors graphically and analytically
Calculate the vector dot product
Use the vector dot product to find vector components and direction cosines
Calculate the vector cross product
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Analyze the moment of a force
Assessment Strategies
Quiz, exam, recitation activity, report
Criteria
Analyze the moment of a force about an axis
Analyze the moment of a couple
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Analyze rigid body equilibrium
Assessment Strategies
Quiz, exam, recitation activity, report
Criteria
Analyze problems that involve static indeterminacy
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Analyze centroids
Assessment Strategies
Quiz, exam, recitation activity, report
Criteria
Identify and distinguish between center of mass and center of gravity
Compute the centroid of a given area, line, or volume
Analyze situations with distributed forces, including constant and linearly varying pressure
Identify and distinguish between mass, weight, specific weight, and density
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Analyze internal forces
Assessment Strategies
Quiz, exam, recitation activity, report
Criteria
Analyze internal forces in structural members
Analyze internal forces in straight beams
Analyze the relations between force, shear, and bending moment, F(x), V(x), and M(x)
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Analyze moments of inertia
Assessment Strategies
Quiz, exam, recitation activity, report
Criteria
Compute the area moment of inertia for a given shape
Compute the mass moment of inertia for a given structure
Apply the parallel axis theorem with area and mass moments of inertia
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Analyze frictional forces
Assessment Strategies
Quiz, exam, recitation activity, report
Criteria
Analyze frictional forces at single and multiple contact surfaces
Analyze frictional forces from belts and cables