Question

A pendulum hangs from the ceiling of a jeep moving with a speed, $v$, along a circle of radius, $R$. Find the angle with the vertical made by the pendulum.

• A. $0$
• B. ${\tan }^{-1}\frac{v^2}{Rg}$
• C. ${\tan }^{-1}\frac{Rg}{v^2}$
• D. None of the above

Answer 1

The correct option is B ${\tan }^{-1}\frac{v^2}{Rg}$

Considering accelerations,
$a_r=\frac{v^2}{R}$
$\therefore tan\theta =\frac{v^2/R}{g}$
$=\frac{v^2}{Rg}$