Question

If x is ratio of rotational kinetic energy and translatroy kinetic energy of rolling body them the following is true

• A. $x=1$
• B. $x\le 1$
• C. $x\ge 1$
• D. $x=\frac{1}{2}$

Answer 1

The correct option is B $x\le 1$

$\begin{array}{c}\text{we know that -}\\ \text{Translational}kE=\frac{1}{2}m{v}^{2}m\to \text{mass}\\ v\to \text{velocity}\\ \text{Rotational}kE=\frac{1}{2}I{\omega }^2=\frac{1}{2}\frac{I}{R^2}\cdot v^2\because (v=R\omega )\\ \omega \to \text{angular velocity}\\ \text{Beccuse moment of Inertia of a uniform Body}⩽m{R}^2\\ \text{Henu, option (B) is correct.}\end{array}$