Torque,rotational motion of an object

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SUMMARY

This discussion centers on the concept of torque and its relationship with applied force and distance from the pivot point, articulated through the equation T = Fd. It emphasizes that to maintain constant torque, an increase in force (F) necessitates a decrease in distance (d) from the pivot, and vice versa. The conversation delves into atomic-level interactions, explaining how forces are transmitted through atoms, influencing rotational motion. The user seeks clarification on the mechanics of these interactions and the behavior of atoms at the pivot point.

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  • Understanding of torque and the equation T = Fd
  • Basic knowledge of atomic and molecular forces
  • Familiarity with rotational motion concepts
  • Ability to interpret diagrams related to force application
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  • Research the principles of torque in rotational dynamics
  • Study atomic interactions and force transmission in materials
  • Explore the concept of equilibrium in rotational systems
  • Learn about the role of pivot points in mechanics
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Students studying physics, particularly those focusing on mechanics and rotational motion, as well as educators looking to clarify concepts related to torque and atomic interactions.

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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
 

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