Discussion%20session1.pdf - ENGR 30 STATICS Fall 2019 1...

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ENGR 30 STATICS Fall 2019 1
About This Session Briefly review the concepts Summarize the problem-solving strategy Solve sample problems 2
Fundamental Concepts Mechanics: A branch of physics that describes and predicts the conditions of rest or motion of bodies under the action of forces. 3
Idealization for Statics Particle: Mass but no size Rigid body : Mass and size, no deformation 4
Mathematical Background: Vector Triangle law (tip to tail) P Q P Q R Addition of Forces (Vectors) P + Q = A resultant vector P = 10, 30° 6 Vector addition: Next Step: How to calculate the value? Scalars: quantities that are fully described by a magnitude (or numerical value) alone Vectors: quantities that are fully described by both a magnitude and a direction
Mathematical Background: Trigonometry A+B+C= 180 ° Law of Cosines A B C Angles a b c Side length c 2 = a 2 + b 2 - 2 ab cos C Law of Sines Given any 2 sides with any 1 angle or 1 side with 2 angles, we can find other 3 unknown values.

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