+ All Categories
Home > Documents > Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One...

Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One...

Date post: 18-Jan-2016
Category:
Upload: randell-gray
View: 215 times
Download: 2 times
Share this document with a friend
Popular Tags:
12
Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots
Transcript
Page 1: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Fundamentals of Mathematics for Engineers LabENGR 2194Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots

Page 2: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Real-World Example Related to Topic!Automotive, aerospace, robotics and building design engineers commonly use:• Trigonometry• Geometrical relationships

Inventor Dean Kamen with Prosthetic Arm

Page 3: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Today's Learning Objectives After today's lab, students will be able to:

1. Understand the basic trigonometric functions.

2. Understand the concept of a unit circle and four quadrants.

3. Understand the concept of a reference angle.

4. Be able to perform the polar to rectangular and rectangular to polar coordinate conversion.

5. Prove a few of the basic trigonometric identities.

Page 4: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Reference Angle Commonly represented as Greek letter ϕ

Less than 90°

Page 5: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Law of Cosines

Page 6: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Law of Sines

Page 7: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

MATLAB Commands (e.g., “disp”)

Functions (e.g., sin/sind, cos/cosd, etc.)

Dot Operators

Page 8: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Lab Equipment

Angle 1 = 30 degrees

Angle 2 = 30 degrees

Page 9: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Lab Equipment

Angle 1 = 30 degrees

Angle 2 = 45 degrees

Page 10: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Lab Equipment

Angle 1 = 30 degrees

Angle 2 = 60 degrees

Page 11: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Important Takeaways Essential to Engineers:• Trigonometry

Basic functions

Unit circle and four quadrants

Reference angle

Coordinate conversions

Basic identities

• Technical Computing MATLAB

Page 12: Fundamentals of Mathematics for Engineers Lab ENGR 2194 Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots.

Preview of Next Lab MATLAB Supplemental Instruction #1• Plotting

Multiple graphs

Line identifiers

Legend


Recommended