Equations of Motion in Normal and Tangential Coordinates

Equations of motion can be expressed in terms of normal, tangential, and binormal directions. The normal and tangential components play crucial roles in describing the motion of an object. Through scalar equations and component representations, these equations help analyze forces and acceleration in a coordinate system. Explore the detailed approach in solving problems related to TNB (Tangential-Normal-Binormal) systems in the provided classroom practice examples.

• Equations of Motion
• Normal Coordinates
• Tangential Coordinates
• TNB System
• Forces

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1. 13.5 Equation of Motion: Normal and Tangential Coordinates Equations of Motion: Normal and Tangential Coordinates Equations of motion may be written in terms of normal, tangential, and binormal directions. F F u = a m In terms of components: + + = + u u a a F F m m t t n n b b t n In terms of scalar equations: = = = F F F ma ma t t (EQ 13-8) n n 0 b = F mv t t v 2 = or F m n = 0 F b

2. In-Class Practice Problem 1 Wait .is this a TNB problem? Confirm the coordinate system as drawn FBD of a passenger

3. In-Class Practice Problem 1

4. In-Class Practice Problem 1

5. In-Class Practice Problem 2 Wait .is this a TNB problem? Awesome? Or Lame? Coilovers don t go between a-arms https://www.youtube.com/watch?v=ntygfUZFxu8 FBD of a passenger

6. In-Class Practice Problem 2

7. In-Class Practice Problem 2

8. In-Class Practice Problem 3 https://www.youtube.com/watch?v=T8FOc9RSAUU