1. Tardigrade
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  4. A uniform cube of side a mass m rests on a rough horizontal table as shown. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face, at a height 3 a / 4 above the base. The minimum value of F for which the cube begins to tip about an edge is (α m g/β). Find (aβ) (assume that cube does not slide).

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Q. A uniform cube of side a & mass $m$ rests on a rough horizontal table as shown. A horizontal force $F$ is applied normal to one of the faces at a point that is directly above the centre of the face, at a height $3\, a / 4$ above the base. The minimum value of $F$ for which the cube begins to tip about an edge is $\frac{\alpha m g}{\beta}$. Find (a$\beta$) (assume that cube does not slide).Physics Question Image

System of Particles and Rotational Motion

Solution:

For topling about edge $x x^{\prime}$
$F_{\min .} \frac{3 a}{4}=m g \frac{a}{2}$
$F_{\min .}=\frac{2 m g}{3} .$

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