Question

A cube of side $a$ is placed on an inclined plane of inclination $\theta$ . What is the maximum value of $\theta$ for which the cube will not topple?

• A. $150^{\circ }$
• B. $30^{\circ }$
• C. $45^{\circ }$
• D. $60^{\circ }$

Answer 1

Answer: (C)

Given,
A cube of side $a$ is placed on an inclined plane of inclination $\theta$ as shown below:

The cube is about to topple when the line of gravitational force $\left(mg\right)$ passes through the edge $A$ of the cube as shown above.
Thus, for the cube, the maximum value of $\theta$ for which the cube will not topple is $45^{\circ }$ .
$\therefore {\theta }_{max}=45^{\circ }$