First slide

Banking of road

Question

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

Easy

A

$\frac{π}{3}$
B

$\frac{π}{6}$
C

$\frac{π}{4}$
D

$0^{o}$

Solution

$Let θ is the angle made by the wire with the vertical. ∴ \tan θ = \frac{v^{2}}{r g} Here, v = 10 m / s, r = 10 m, g = 10 m / s^{2} ∴ tanθ = \frac{(10 m / s)^{2}}{10 m (10 m / s^{2})} = 1 θ = \tan^{- 1} (1) = \frac{π}{4}$

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