MEC E260 Study Guide - Midterm Guide: Unit Vector, Dot Product

• School: University of Alberta
• Department: Mechanical Engineering
• Course: MEC E260
• Professor: Cagri Ayranci

Document Summary

Mec e 260 section 3 basic engineering analysis i. Mechanics of equilibrium, used to solve non accelerating or stationary systems. Steps to solve a problem: 1: fbd. Imagine the body/system to be isolated from the surroundings. Applied loads and moments (torque as well: know direction and magnitude. Reaction at boundaries: know direction but not magnitude. Sum of all forces in all 3 directions must equal zero. It is often convenient to write each vector in ijk. Particle method can be used if all forces are concurrent. Sum of all moments must equal zero. The moment in the direction of a unit vector is obtained as the scalar product of m and u. (dot product) Why should two hinges be used to support a door: weight is carried by both hinges and the moment of the door is resisted by the two horizontal hinge forces.