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A square plate of side 'a' and mass 'm' ...

A square plate of side 'a' and mass 'm' is lying on a horizontal floor. A force `F` is applied at the top. Find the maximum force that can be applied on the square plate so that the plate does not topple about A.

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To solve the problem of finding the maximum force \( F \) that can be applied to a square plate of side \( a \) and mass \( m \) without causing it to topple about point A, we will follow these steps: ### Step 1: Understand the Forces Acting on the Plate The forces acting on the plate include: - The gravitational force \( mg \) acting downward at the center of mass. - The normal force \( N \) acting upward at the base. - The applied force \( F \) acting horizontally at the top of the plate. - The frictional force \( f \) acting horizontally at the base, opposing the applied force. ...
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