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The fig shows wheel of radius 5cm that can rotate freely about, the point O. It is in equilibrium due to force F₁ and F₂ acting on it.Which one of the

force is greater and what is the ratio of the two force?



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The forces F1 and F2 are perpendicular to each other.

The forces F1 and F2 are balanced by equal and opposite forces at O acting on the wheel by the support at  O.

The moments of forces by F1 and F2 about O balance each other.  The reason is that wheel is in static equilibrium.

 let the radius of the wheel = R.

   F1 * R = F2 * OO'
         OO' / R = F1 / F2
  As OO' is less than R,  F1 is less than F2.

2 5 2
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