MCQ
A rigid body rotates about a fixed axis with variable angular velocity equal to $\alpha -\beta t$, where $t$ is time and $\alpha \,,\, \beta $ are constants. The angle (in radian) through which it rotates before its stops
- ✓$\frac{{{\alpha ^2}}}{{2\beta }}$
- B$\frac{{{\alpha ^2} - {\beta ^2}}}{{2\alpha }}$
- C$\frac{{{\alpha ^2} - {\beta ^2}}}{{2\beta }}$
- D$\frac{{(\alpha - \beta )\alpha }}{2}$
