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

AI Thread Summary
A solid uniform wheel with a radius of 0.250 m and mass of 9.20 kg is subjected to a horizontal pull of 40.0 N via a cord. The wheel is mounted on frictionless bearings, leading to a discussion about the forces acting on it. The normal force and weight act along the y-axis, but there is uncertainty regarding any x-component force from the axle since the center of mass remains stationary. The net force acting on the wheel must be zero in the horizontal direction due to the lack of linear translation. This indicates that the axle exerts a force to balance the applied tension from the cord.
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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