Introduction to Engineering Mechanics

Introduction to Engineering Mechanics Dr. Wayne Whiteman Director of the Office of Student Services and Senior Academic Professional School of Mechanical Engineering

This course is an introduction to learning and applying the principles required to solve engineering mechanics problems.

School of Mechanical Engineering

Module 3 Learning Outcomes Express a two-dimensional (2D) force in terms of rectangular components.  Express a two-dimensional (2D) force in terms of parallel and perpendicular components.  Apply vector addition to find the resultant of more than one force 

2

2D Force Representation Rectangular Components:

3

2D Force Representation Parallel and Perpendicular Components:

4

Vector Addition Use the Parallelogram Law to find the vector “resultant”

F  F1  F2  etc. For Example:

If F1  40iˆ  30 ˆj lb

and F2  60iˆ  50 ˆj lb Then the resultant is ? 5

Worksheet

Worksheet – 2D Forces 1. Determine the x and y components of the force shown below. y

O

x 4 3 F=400 lbs

2. Determine the parallel and perpendicular components to the plane of the force shown below.

Fparallel

F=260 lbs

.G

F Fperpendicular

12

5

3. Determine the resultant of the force system shown below. F=80 lbs

3

5

4

12

P=65 lbs

A 4

3

S=250 lbs

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