Circular Motion probem 2

  • #1
thunderhadron
141
0
Hi friend the problem is as follows:

[Broken]

Attempt:

[Broken]
[Broken]
[Broken]

Please friends help me in this.
Thank you all in advance
 
Last edited by a moderator:

Answers and Replies

  • #2
Tanya Sharma
1,540
135
Instead of using a=dv/dt use a=vdv/ds.

The given condition is |aT|=|aN|

i.e -vdv/ds=v2/R .

Integrate with proper limits and you will get the answer.
 
  • #3
thunderhadron
141
0
Instead of using a=dv/dt use a=vdv/ds.

The given condition is |aT|=|aN|

i.e -vdv/ds=v2/R .

Integrate with proper limits and you will get the answer.

Thank you very much tanya. I got the answer.

But Was I doing it in wrong manner?
 
  • #4
Tanya Sharma
1,540
135
You got the answer with your approach or the one i asked you to do ?
 
  • #5
thunderhadron
141
0
You got the answer with your approach or the one i asked you to do ?

By your approach.
 
  • #7
ehild
Homework Helper
15,543
1,915
Thank you very much tanya. I got the answer.

But Was I doing it in wrong manner?

The particle was decelerating, so your first equation should have been a=-v2/R. The other error was, that when you integrated v with respect time, you forgot the lower limit of integration. So your result is dimensionally incorrect. Tanya's solution is very elegant and simple, but yours is also all right if you do it properly. :smile:

ehild
 
  • #8
thunderhadron
141
0
The other error was, that when you integrated v with respect time, you forgot the lower limit of integration. :smile:

ehild

The lower limit of time should be zero. The question states that.
 
  • #9
ehild
Homework Helper
15,543
1,915
The lower limit of time should be zero. The question states that.

Yes, but you have ln(R-vot), it is not zero at t=0.
 
  • #10
Tanya Sharma
1,540
135
After integration when you put t=0,the term doesn't vanish.You have erroneously assumed it to be 0.
 
  • #11
thunderhadron
141
0
Thank you very much friends. I got the answer. Problem has been cleared.
 

Suggested for: Circular Motion probem 2

  • Last Post
Replies
2
Views
939
  • Last Post
Replies
5
Views
974
  • Last Post
Replies
8
Views
897
  • Last Post
Replies
16
Views
3K
  • Last Post
Replies
1
Views
1K
Replies
8
Views
1K
Replies
3
Views
2K
  • Last Post
Replies
8
Views
967
  • Last Post
Replies
4
Views
885
  • Last Post
Replies
2
Views
540
Top