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 4 Learning Outcomes Express a three-dimensional (3D) force in terms of rectangular components.  Make use of the dot product to find the projection of a force vector 

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3D Force Representation 1. Determine the position vector “Walk” from TAIL to HEAD to find 2.

Determine the unit vector along the position vector AB eˆ AB 

3.

AB

AB

Determine the force vector FAB  F eˆAB 3

Worksheet – 3D Forces Given: F = 260 N

P = 100 N Find the resultant of the two forces F and P

y 4m B

. P O

12 m

F

.

A

x

.C 3 m

z 4

1. Determine the position vector “Walk” from TAIL to HEAD B

.

y 4m

F OP

z

12 m

. .

A

C

x

3m

5

3. Determine the force vector B

.

y 4m

F OP

z

12 m

. .

A

C

x

3m

6

Worksheet – 3D Forces Given: F = 260 N

P = 100 N Find the resultant of the two forces F and P

y 4m B

. P O

12 m

F

.

A

x

.C 3 m

z 7

Dot Product to Find Components (Projection)

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