How to find equation of motion for object leaving a curved ramp?

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SUMMARY

The discussion focuses on deriving the equations of motion for an object leaving a curved ramp, specifically analyzing the forces acting on the object and its trajectory. Key variables include the radius (r), angle (a), mass (m), initial velocity (V0), normal force (N), friction (T), and gravitational acceleration (g). The participants emphasize the importance of using polar coordinates to describe the motion and suggest that understanding the forces in both tangential and radial directions is crucial for solving the problem effectively.

PREREQUISITES
  • Understanding of polar coordinates and their application in dynamics.
  • Familiarity with Newton's laws of motion and forces acting on an object.
  • Basic knowledge of kinematics, particularly in circular motion.
  • Ability to derive equations of motion from fundamental principles.
NEXT STEPS
  • Study the derivation of equations of motion for objects in circular motion.
  • Learn how to apply polar coordinates in dynamics problems.
  • Research the relationship between tangential and radial forces in motion.
  • Explore the concept of energy conservation in the context of motion along curved paths.
USEFUL FOR

Students in physics, particularly those studying mechanics, as well as educators and anyone interested in understanding the dynamics of objects in motion along curved paths.

  • #61
I'm having an exam in 2 days, after that I will be able to concentrate more on this problem. Please don't close the thread. I'll be back as soon as I can. Thank you
 
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  • #62
cantleave said:
I'm having an exam in 2 days, after that I will be able to concentrate more on this problem. Please don't close the thread. I'll be back as soon as I can. Thank you
No problem, hope there are no hard feelings and good luck on your exam. Thank you for clarifying things.

Regards,

Redbelly98
 
  • #63
Sorry cantleave, I didn't mean to bail on you -.-

I got busy.

I'm glad to see you made some steady progress.

P.S.
good luck on the exam ;-)
 
Last edited:

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