1. Tardigrade
  2. Question
  3. Physics
  4. An equilateral prism of mass m rests on a rough horizontal surface with coefficient of friction μ. A horizontal force F is applied on the prism as shown in the figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is (m g/√n). Find n.

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. An equilateral prism of mass $m$ rests on a rough horizontal surface with coefficient of friction $\mu$. A horizontal force $F$ is applied on the prism as shown in the figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is $\frac{m g}{\sqrt{n}}$. Find $n$.Physics Question Image

System of Particles and Rotational Motion

Solution:

The tendency of rotating will be about the point $C$.
For minimum force, the torque of $F$ about $C$ has to be equal to the torque of mg about $C$.
$\therefore F\left(a \frac{\sqrt{3}}{2}\right)=m g\left(\frac{a}{2}\right) $
$F=\Rightarrow F=\frac{m g}{\sqrt{3}}$