Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Classical Mechanics Central Force Motion
The kinetic energy of a particle in terms of coordinates r and q = sinθ, where r and θ are polar coordinates, is :
1
\(\frac{1}{2}m\left(\dot{r}^2+r^2\dot{q}^2\right)\)
2
\(\frac{1}{2}m\left(\dot{r}^2+\frac{r^2\dot{q}^2}{1-q^2}\right)\)
3
\(\frac{1}{2}m\left(\dot{r}^2q^2+r^2\dot{q}^2\right)\)
4
\(\frac{1}{2}m\left(\dot{r}^2+r^2\theta \dot{q}^2\right)\)