Circular Motion and resultant force

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Homework Help Overview

The discussion revolves around a problem related to circular motion and the resultant forces acting on a mass. Participants are exploring the relationship between angular velocity, frictional forces, and centripetal forces in the context of the motion described.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants discuss the equations related to circular motion and attempt to express the resultant force in terms of angular velocity and friction. Questions arise regarding the identification of forces acting on the mass and the conditions under which centripetal force is considered.

Discussion Status

The discussion includes attempts to clarify the forces involved and the conditions of motion. Some participants suggest different frames of reference for understanding the forces, while others express confusion about the absence of acceleration and the role of friction. There is no explicit consensus, but various interpretations and approaches are being explored.

Contextual Notes

Participants are navigating the complexities of circular motion, including the assumptions about forces and the conditions under which different forces are considered. The discussion reflects a mix of understanding and uncertainty regarding the setup of the problem.

Priyadarshini
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Homework Statement



WP_20160129_22_51_42_Pro.jpg

Homework Equations


F= mv^2/r
v = angular vel* r

The Attempt at a Solution


resultant force= ma-frictional force
= mv^2/r - mg*meu
= (angular vel)^2mx - mg*meu
But then how do I get the angular speed when I don;2 know the resultant force?
 
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Priyadarshini said:
resultant force= ma-frictional force
Only one (horizontal) force acts on the mass.
 
Doc Al said:
Only one (horizontal) force acts on the mass.
I don't understand.
 
Priyadarshini said:
I don't understand.
Please identify the forces acting on the mass.
 
Doc Al said:
Please identify the forces acting on the mass.
There is no centripetal force as the mass is not accelerating.
There is the friction force and centrifugal force
 
Priyadarshini said:
There is no centripetal force as the mass is not accelerating.
There is the friction force and centrifugal force
That would be true if viewed from the rotating frame, which requires the inertial centrifugal force. If so, what is the acceleration?

Or you can view it from the usual inertial frame, where the only force would be friction and there would be a centripetal acceleration.
 
Doc Al said:
That would be true if viewed from the rotating frame, which requires the inertial centrifugal force. If so, what is the acceleration?

Or you can view it from the usual inertial frame, where the only force would be friction and there would be a centripetal acceleration.

so F=mv^2/r
mv^2/r=N*meu
v*angular vel* m = mg*meu
so angular vel = g*meu/v
as v= angular vel* x
angular vel^2=g*meu/x
so angular vel = (g*meu/x)^(1/2)
Which is the answer, thank you!
 

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