Question 705: Centre of Mass and Rotational Motion

Question

A uniform cube of side $a$ and mass $m$ rests on a rough horizontal table. A horizontal force $F$ is applied normal to one of the faces at a point that is directly above the centre of the faces at a point that is directly above the centre of the face at a height 3a/4 above the base. The minimum value of F for which the cube begins to topple an edge is (assume that cube does not slide)

Accepted Answer

For toppling about edge $$x x^{\prime}$$.
At the moment of topping, the normal force passes through axis $$x x^{\prime}$$.
$$F_{\min } 	imes \frac{3 a}{4}=m g \frac{a}{2} 	ext { or } F_{\min }=\frac{2 m g}{3}$$

Answer

(mg)/3

Answer

(mg)/2

Answer

(2 mg)/3

Answer

(3 mg)/4

Centre of Mass and Rotational Motion

Choose the correct answer: