Question

A jeep is moving along a circular road of radius R with a speed v. A pendulum is hanging from the ceiling of the jeep. if the jeep accelerates, how does angle, the pendulum makes with the vertical $\theta$ vary?

• A. If jeep accelerates angle increases
• B. If jeep accelerates angle decreases
• C. angle remains constant whether or not jeep accelerates
• D. None of these

Answer 1

Answer: (A)

If jeep accelerates angle increases

$tan\theta =\frac{a_r}{a_t}\Rightarrow \theta ={tan}^{-1}\left(\frac{a_r}{a_t}\right)={tan}^{-1}\left(\frac{v^2/R}{g}\right)={tan}^{-1}\left(\frac{v^2}{Rg}\right)$ if $v$ increases, angle also increases.