Question

A uniform cube is free to turn about one edge which is horizon. Find in terms of a seconds pendulum the length of the edge , so that it may execute a complete oscillating in which secs

Answer 1

As we know seconds pendulum has a period of oscillation is 2 seconds

Let L be the length of the edge

and g =Accelaration due to gravity

Time period, $T=2\pi(\sqrt{\dfrac{L}{g}})$

$\Rightarrow 2=2\pi\sqrt{\dfrac{L}{g}}$

$\Rightarrow \dfrac{L}{g}=\dfrac{1}{\pi^2}$

$\Rightarrow L=\dfrac{g}{\pi^2}$

Hence This is the Length of the edge.