What happened to the division of g in the Mach 3 force diagram problem?

Click For Summary
SUMMARY

The discussion centers on the Mach 3 force diagram problem, specifically the relationship between normal force (N), gravitational force (mg), and centripetal acceleration (mv²/R). The key equation derived is N - mg = (mv²/R)e_r, leading to the pilot's perceived acceleration as N/m = g + (mv²/R)e_r. The confusion arises from the interpretation of how gravitational acceleration (g) interacts with the centripetal term, which is clarified through dialogue among participants.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal acceleration concepts
  • Knowledge of force diagrams in physics
  • Basic calculus for interpreting equations
NEXT STEPS
  • Study the derivation of centripetal acceleration in circular motion
  • Learn about the applications of force diagrams in dynamics
  • Explore the implications of normal force in different motion scenarios
  • Review advanced topics in Newtonian mechanics
USEFUL FOR

Physics students, educators, and professionals in engineering fields who are analyzing forces in motion, particularly in high-speed scenarios like Mach 3 flight dynamics.

delve
Messages
34
Reaction score
0
Here is an answer from a book of mine: From the force diagram we have N-mg=(\frac{mv^2}{R})e_r. The acceleration that the pilot feels is \frac{N}{m}=g+(\frac{mv^2}{R})e_r. I'm confused though; what happened to the g being divided by the last term as well?
 
Physics news on Phys.org
Hi delve! :smile:
delve said:
Here is an answer from a book of mine: From the force diagram we have N-mg=(\frac{mv^2}{R})e_r. The acceleration that the pilot feels is \frac{N}{m}=g+(\frac{mv^2}{R})e_r. I'm confused though; what happened to the g being divided by the last term as well?

I'm not following you …

the equation is equivalent to N/m = g + (v2/R)er

what do you mean by g being divided by something? :confused:
 
Actually, you just helped me realize what I was confused about. Thank you!
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 157 ·
6
Replies
157
Views
11K
  • · Replies 22 ·
Replies
22
Views
5K
  • · Replies 9 ·
Replies
9
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K