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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.

Text Solution

Verified by Experts


For force equilibrium
`N=mg`
`f=F`
For torque equilibrium
`tau_(0)=0=F(a)/(2)+f.(a)/(2)-N(a)/(2)`
`impliesFa=mg.(a)/(2)impliesF=(mg)/(2)`
Alternatively If a body is in complete equilibrium then net torque will be zero about all the points in the universe. So lets calculate the torque about point `A`.
`Fa=mg.(a)/(2)=-F=(mg)/(2)`
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Knowledge Check

  • A string of length L and mass M is lying on a horizontal table. A force F is applied at one of its ends. Tension in the string at a distance y from the end at which the force applied is

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  • A square plate of side / has mass M. What is its moment of inertia about one of its diagonals ?

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