What is the net force acting on a wheel with a cord wrapped around it?

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Homework Help Overview

The problem involves a solid uniform wheel with a radius of 0.250 m and a mass of 9.20 kg, which has a cord wrapped around it. A horizontal force of 40.0 N is applied to the cord, and the wheel is mounted on frictionless bearings. The discussion centers on determining the net force acting on the wheel and the force exerted by the axle.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the forces acting on the wheel, including normal force and weight, and question the presence of any x-component force from the axle. Some suggest considering the implications of the center of mass not translating.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the relationship between the forces acting on the wheel and the motion of the center of mass. There is a focus on understanding the net force in the context of the problem.

Contextual Notes

Participants note the absence of linear translation of the center of mass, which raises questions about the forces involved and the net force acting on the wheel.

Amar.alchemy
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Homework Statement



A cord is wrapped around the rim of a solid uniform wheel 0.250 m in radius and of mass 9.20 kg. A steady horizontal pull of 40.0 N to the right is exerted on the cord, pulling it off tangentially from the wheel. The wheel is mounted on frictionless bearings on a horizontal axle through its center. Find the magnitude and direction of the force that the axle exerts on the wheel

Homework Equations


Newtons laws

The Attempt at a Solution


I understand that there are normal force and weight along y-axis. However I'm confused whether there is any x-component force exerted by the axle on the wheel. Kindly explain me??
 
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I might be wrong as I haven't reached this subject matter just yet, but I think you need to take into consideration the fact that there is 0 linear translation of the center of mass.

Another force is suddenly required.
 
RoyalCat said:
I might be wrong as I haven't reached this subject matter just yet, but I think you need to take into consideration the fact that there is 0 linear translation of the center of mass.

Another force is suddenly required.

can u please explain it with little more details??
 
Amar.alchemy said:
can u please explain it with little more details??

The center of mass isn't moving, what does that say about the net force acting on the mass?
 

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