If the friction is sufficient to prevent the block from sliding, then the minimum value of F for which the cube begins to topple about an edge is

Question

If the friction is sufficient to prevent the block from sliding, then the minimum value of F for which the cube begins to topple about an edge is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-h5xadlmrtz0e8zbf.jpg" /> (A) (2/3)mg (B) (3/4)mg (C) (1/2)mg (D) mg

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-h5xadlmrtz0e0bxm.jpg" /> Balancing torque about point O mg((a/2))=F((2 a/3)) F=(3/4)mg

Q. If the friction is sufficient to prevent the block from sliding, then the minimum value of $F$ for which the cube begins to topple about an edge is

$\frac{2}{3} m g$

$\frac{3}{4} m g$

$\frac{1}{2} m g$

$m g$

Balancing torque about point $O$
$m g (\frac{a}{2}) = F (\frac{2 a}{3})$
$F = \frac{3}{4} m g$

Q. If the friction is sufficient to prevent the block from sliding, then the minimum value of F for which the cube begins to topple about an edge is

32​mg

43​mg

21​mg

mg