PART 1. PLANAR KINEMATICS OF PARTICLES

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Textbook Chapter 2.1 thru 2.7 –(Lectures 1-4)

 

Lecture

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Major Topics/WHAT YOU WILL LEARN

Recommended  homework problems

1

Particle kinematics in a plane using Cartesian coordinates. Review of vector and matrix algebra. Coordinate transformations: relationships between components of a vector in two coordinate systems. Example: projectile motion.

2.6a-d, 2.7a-d, 2.10a,b&d, 2.11a,b&d

2

Particle motion in a plane using polar coordinates. Radial and tangential unit vectors and their time derivatives. Components of velocity and acceleration vectors in polar coordinates. Examples of coordinate transformations: polar to Cartesian or vice versa.

2.12a,b&d, 2.14a,b&d, 2.15a,b&d

3

Particle motion in a plane using path coordinates. Path radius of curvature, normal and tangential unit vectors and their time derivatives. Components of velocity and acceleration vectors in path coordinates. Examples of coordinate transformations: path to Cartesian or polar or vice versa.

2.17a,b&d, 2.18a,b&d, 2.19a,b&d

4

Expressing motion in different coordinate systems: moving between Cartesian, polar and path coordinates. Physical units: conversions & understanding.

2.5a-d, 2.13a-d, 2.20a-d

 

 

 

 

Get all: Lectures 1-4

 

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