Rollercoasters and Loops and Normal Forces

  • #1
37
0

Homework Statement


<I will attach a diagram below> In terms of m, g and r. FInd the normal force at the top of the loop.

Homework Equations


∑F = Fc = FN+Fg ∴ Fc=FN+Fg ∴FN = Fc - Fg ∴ N=mV2/r - mg

The Attempt at a Solution


Fc=mV2/r - mg and V2=ra and a=g ∴C=mrg/r ∴C = mg ∴mg-mg=N ∴ N=0 N. BUT after discussing with a guy in AP Physics C at my school, he said that this is solving for the minimum height. SO I think I need to solve for the general equation to solve for the normal force at the top of the loop at any height using the variables m, g, and r only (I'm pretty sure that's what my instructions meant). Could anyone help please? I will send an image of my work as well.
 

Answers and Replies

  • #2
37
0
ImageUploadedByPhysics Forums1454644340.451261.jpg
ImageUploadedByPhysics Forums1454644365.518475.jpg
 

Related Threads on Rollercoasters and Loops and Normal Forces

  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
9
Views
1K
  • Last Post
Replies
4
Views
3K
Replies
4
Views
7K
  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
3
Views
6K
Replies
4
Views
1K
  • Last Post
Replies
4
Views
1K
Replies
15
Views
341
Replies
1
Views
3K
Top