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  4. A rectangular block has a square base measuring a × a, and its height is h . It moves on a horizontal surface in a direction perpendicular to one of its edges. The coefficient of friction is μ. It will topple if

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Q. A rectangular block has a square base measuring $a \times a$, and its height is $h .$ It moves on a horizontal surface in a direction perpendicular to one of its edges. The coefficient of friction is $\mu$. It will topple if

System of Particles and Rotational Motion

Solution:

As shown in figure normal reaction, $R=m g .$
Frictional force, $F=\mu R=\mu mg$.
To topple, clockwise moment must be more than the anticlockwise moment
i.e., $\mu m g \times \frac{h}{2}>m g \times \frac{a}{2}$
or $\mu >a / h$
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