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Mechanics for Applied Science

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Physics, Engineering - General
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About This Course Pack

This is a first-year course in engineering mechanics intended for students pursuing a degree in engineering. Topics include two-dimensional and three-dimensional force systems, moments of a force, equations of equilibrium, truss analysis, machines, internal forces, friction, and particle kinematics.

This course pack contains 23 modules. Each module has a lesson plan, a problem sheet, and an activity sheet with a completed example. The syllabus in this course pack details a potential course schedule and recommended readings from two different textbooks: a common commercial textbook and an open textbook with similar content.

Assessments in this course pack include two midterm exams and a final exam. In addition, some modules have shorter tests.

Several associated instructor resources are available, such as a link to a collection of openly licensed physics diagrams and graphics in the course overview section. While many of these images are used in course content already, instructors are encouraged to browse this collection and use these images to create their own problems.

Author
Curated and Designed by Jennifer Kirkey (Douglas College)
Publish Date
May 2023
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Course based on
Level
Undergraduate
License
CC BY 4.0 except where otherwise noted

Learning Outcomes

  • Express force and position in Cartesian vector form
  • Solve particle and rigid-body equilibrium problems using the equations of equilibrium
  • Calculate the moment of a force in two and three dimensions
  • Reduce a simple distributed loading to a resultant force
  • Identify the forces and moments on a rigid body and draw the corresponding free-body diagram
  • Determine the forces in the members of a truss and the forces acting on the members of frames and machines
  • Determine the internal loadings in a member and draw internal shear and moment diagrams
  • Analyze the equilibrium of rigid bodies subject to dry friction, with specific application to wedges, screws, and belts
  • Determine the location of the centre of gravity and centroid for a body of arbitrary shape
  • Solve particle kinetics problems using the equations of motion

Course Materials

Course Overview
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Course Syllabus
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Instructor Resources
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Mechanics Map
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Mechanics Image Collection
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Practice Problems
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Instructor Answer Calculator for Activities
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Quizzes
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Introduction
Module 1: Introduction to Physics and Force Vectors
Module 2: Position Vectors
Module 3: Equilibrium in Concurrent Force Systems
Module 4: 3D Equilibrium in Concurrent Force Systems
Module 5: Introduction to the Moment of a Force
Module 6: Couple Moment and Moment About a Specified Axis
Module 7: Simplification of a Force and Couple System
Module 8: Distributed Loading
Module 9: Rigid Body Equilibrium in 2D
Module 10: Rigid Body Equilibrium in 3D
Module 12: Truss Analysis and Method of Sections
Module 11: Truss Analysis and Method of Joints
Module 13: Frames and Machines
Module 14: Internal Forces
Module 15: Shear and Moment Equations and Diagrams
Module 16: Dry Friction I
Module 17: Dry Friction II
Module 18: Kinematics and Linear Motion
Module 19: Curvilinear Motion
Module 20: Projectile Motion
Module 21: Dynamics I Newton's Laws
Module 22: Dynamics II Normal-Tangential
Module 23: Dynamics III Cylindrical
Exams
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