Question

A mass 'M' is suspended from a ceiling through a string of length 'L'. This mass moves in a circle of horizontal radius 'r'. at constant speed such that it is a conical pendulum. The tension in the string will-be

• A. $mgL/\left(22\sqrt{L^2-r^2}\right)$
• B. $mgL/\sqrt{L^2}$
• C. $mgL/\sqrt{r^2}$
• D. $mgL/\left(\sqrt{L^2-r^2}\right)$

Answer 1

The correct option is D $mgL/\left(\sqrt{L^2-r^2}\right)$



$\Sigma F_y=0$

$Mg=Tsin\theta$

$=T\times \frac{L^2-r^2}{L}$

$T=\frac{MgL}{\sqrt{L^2-r^2}}$