Torque,rotational motion of an object

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Homework Statement


We all know that
T = Fd
Where F = applied force,T=torque about the pivot.
Mathematically,to produce the same size of torque,if F increases,d decreases.
If F decreases,d increases.
But,let's think about what's happening at the atomic level.
Please see the attached.
Suppose A is the pivot.
In picture 1 and 2,you are applying a force at different position.
By the formula,to produce the same size of clockwise torque about A,
F2>F1
In fact the force is applied on the whole object,
i.e.When you apply a force on E in figure 2,the force is actually acting on the atoms(or group of atoms) at E.By repulsive forces between atoms,force is "transmitted" to B,
so the object rotates.
In figure 1,you apply force at B,when the atoms at B move,they pull the other atoms forwards,so the whole object rotates about A.
(These are what I thought about what's happening in atoms when an object rotate.)
However,this analogy cannot explain why as d decreases F increases.
1.Can someone give me an explanation of the equation in terms of movement of atoms and molecules?
i.e. Why d decreases then F increases (for the same torque)

2.And why the atoms at pivot point don't perform rotational and translational motion?
Thx a lot.

I have been solving this for one week though I can't figure it out...
Please forgive for my foolishness.

Homework Equations


the equation of torque,which is T=Fd


The Attempt at a Solution


listed in the above and the attached
 
Attachments
  • Two hand-drawn diagrams labeled 1 and 2, each showing a rectangle ABCD with a pivot point A and a force line through B (F1) or E (F2) along one side.
    IMG_5071.JPG
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  • Hand-drawn diagrams on lined paper: two rectangles labelled A, B, C, D with forces F1 and F2 applied at different points, and a sketch below showing atoms drawn as red circles at the end of a block, with arrows and the note 'original position of object'.
    IMG_5072.JPG
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  • Handwritten sketch titled 'explanation' showing three rectangular blocks in sequence with red circles representing atoms: the first has force F and pivot point A with a label 'original position of object', the second shows atoms clustered toward one side, and the third shows atoms clustered near the middle.
    IMG_5073.JPG
    39.9 KB · Views: 499