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Q. A symmetrical uniform solid cube of side $5 \, m$ is placed on a horizontal surface beside a vertical wall, one side of the cube is making an angle $45^\circ $ with the floor as shown. If coefficient of friction $\mu $ is the same for both wall and floor, the minimum value of $\mu $ so that cube does not slip
Question

NTA AbhyasNTA Abhyas 2020Laws of Motion

Solution:

At angle $45^\circ $ , $N$ and $Mg$ balance each other, they both pass through centre of mass, so no need for friction to balance it

Solution