Tangential/Normal Components etc.

  • Thread starter Thread starter salman213
  • Start date Start date
  • Tags Tags
    Components
Click For Summary
SUMMARY

The discussion centers on a dynamics problem involving a path defined by the function y=1/20 x^2. At the point where x=10m and y=5m, the speed of the object is 6 m/s, with an acceleration of 2 m/s². The directional angle of the velocity from the horizontal is conclusively determined to be 45 degrees, and the radius of curvature at this instant is calculated to be 28.28 m.

PREREQUISITES
  • Understanding of kinematics and dynamics principles
  • Familiarity with calculus, particularly derivatives for curvature
  • Knowledge of the concepts of velocity and acceleration
  • Ability to interpret mathematical functions and graphs
NEXT STEPS
  • Study the derivation of curvature in parametric equations
  • Learn about the relationship between velocity, acceleration, and directional angles
  • Explore advanced kinematics problems in dynamics
  • Review the application of the second derivative in motion analysis
USEFUL FOR

This discussion is beneficial for physics students, educators, and professionals in engineering fields who are focused on understanding motion dynamics and curvature analysis.

salman213
Messages
301
Reaction score
1
1. A path is defined by the function y=1/20 x^2. One instant x=10m and y= 5 m the speed is 6 m/s and increasing at 2 m/s^2.

a)Find the directional angle of the velocity from the horizontal?
The answer is 45 degrees

b)What is the radius of curvature of her path at this instant?
The answer is 28.28 m




3. Can anyone give any hints onto how I should start this problem I am really confused!
 
Physics news on Phys.org
any ideas?
 
It's a standard dynamics problem. Why don't you go ahead and check your textbook and then post your attempt.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
11
Views
1K
  • · Replies 12 ·
Replies
12
Views
5K
Replies
11
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K