Question

A car is moving in a circular horizontal track of radius $10m$ with a constant speed of $10m/s$. A bob is suspended from the roof of the car by a light wire of length $1.0m$. The angle made by the wire with the vertical is

• A. $0^o$
• B. $\frac{\pi }{3}$
• C. $\frac{\pi }{6}$
• D. $\frac{\pi }{4}$

Answer 1

The correct option is D $\frac{\pi }{4}$

$Tcos\theta =mgTsin\theta =\frac{{mv}^2}{r}tan\theta =\frac{v^2}{rg}tan\theta =\frac{10\left(10\right)}{10\left(10\right)}=1\theta =\frac{\pi }{4}$