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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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Knowledge Check

  • A block A of mass 4 kg is placed on another block B of mass 5 kg and the block rests on a smooth horizontal table. For sliding the block A on B, a horizontal force of 12 N is required to be applied on it. The maximum horizontal force that can be applied on B so that both A and B move together and the acceleration produced by this force is

    A
    25 N, 5 `m//s^(2)`
    B
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    C
    30 N, 8 `m//s^(2)`
    D
    cannot be calculated from the given data.
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