What is the Resultant Force on a Mass in Non-Uniform Circular Motion?

Click For Summary

Homework Help Overview

The problem involves a mass in non-uniform circular motion, specifically analyzing the resultant force acting on a mass attached to a string swinging in a vertical circle. The original poster presents a scenario with given values and multiple-choice answers, expressing confusion over their calculations and the expected resultant force.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the resultant force by considering both radial and tangential components of force, but questions their approach after obtaining an unexpected result. Some participants suggest separating forces into components and using Pythagorean theorem for combining them.

Discussion Status

The discussion is ongoing, with participants providing insights and clarifications regarding the separation of forces and the method of combining them. There is an indication of productive guidance being offered, particularly in relation to the use of components.

Contextual Notes

The original poster expresses uncertainty about their calculations and the definitions of resultant force in the context of the problem. There is a reference to a diagram that supports the discussion, which may be crucial for understanding the forces involved.

[imagine]
Messages
9
Reaction score
0
Hi,
I have a multiple choice non-uniform circular motion problem that I am trying to solve, but somehow I keep getting an answer that is not one of the possible answers. Here it is:

A 0.30kg mass attached to the end of a string swings in a vertical circle (R=1.6m) as shown [ In the diagram, x = theta ]. At an instant when x=50, the tension in the string is 8.0N, what is the magnitude of the resultant force on the mass at this instant?

a) 5.6N
b) 6.0N
c) 6.5N
d) 5.1N
e) 2.2N

http://img468.imageshack.us/img468/716/physdiag5xc.png

So.. firstly, I established that the resultant force on the mass is the sum of the net radial force and the net tangential force. The net radial force is equal to [ Tension - Gravity in the Y direction ], and the net tangential force is equal to Gravity in the X direction. So...

Fnet = Sum of Radial Forces + Sum of Tangential Forces
Fnet = (T - mgcosx) + (mgsinx)

Using this formula, I get Fnet= 8.4N ?? What could I be doing wrong here?

Then I thought.. if I just take the tangential force, that is equal to mgsinx = 2.25..which is pretty close to E. Can this be what is meant by resultant force?

I hope someone can help me find my mistake in solving this problem, and point me toward the right solution. Thanks in advance!
 
Last edited by a moderator:
Physics news on Phys.org
I think we'd need a diagram..
 
Diagram included now.
 
Usually once you separate the Forces into components parallel to
and perpendicular to the motion, KEEP THEM SEPARATE!

HERE, you're asked to combine them, using Pythagoras.

I get F perp = 6.11 N , and F parallel = 2.25 N
 
Ahhhhh... That clears it all up! Thanks a lot :).
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
1K
Replies
55
Views
4K
  • · Replies 29 ·
Replies
29
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
11
Views
3K
Replies
2
Views
2K
Replies
6
Views
4K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K