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- Does a equation exist for calculating torque for rotating a object about its cog axis where the only reaction forces are its own weight at a COF.

Hi,

I have an object sitting on the ground, with a coefficient of friction (COF) of 0.3.

Lets say it is a square block, and will rotate on its central axis.

How much torque is required to rotate this block? I am ignoring inertia weights as will be rotating very slowly.

I can solve my problem by breaking the assumed footprint up into sections (Quadrants) and applying the force to slide the quadrant at its center point at a radius to the original shape, which works in theory but continues to increase in value the more sections it is broken up into and i imagine converging to a value. This sounds like a integral that i have forgotten many years ago.

Is this a constant for different COF values, shapes?

I assume an equation could exist for different equal shapes of torque, or at least for a circle.

I have an object sitting on the ground, with a coefficient of friction (COF) of 0.3.

Lets say it is a square block, and will rotate on its central axis.

How much torque is required to rotate this block? I am ignoring inertia weights as will be rotating very slowly.

I can solve my problem by breaking the assumed footprint up into sections (Quadrants) and applying the force to slide the quadrant at its center point at a radius to the original shape, which works in theory but continues to increase in value the more sections it is broken up into and i imagine converging to a value. This sounds like a integral that i have forgotten many years ago.

Is this a constant for different COF values, shapes?

I assume an equation could exist for different equal shapes of torque, or at least for a circle.