A car is moving in a circular horizontal track of radius 10.0 m with a constant speed of 10.0 ms⁻¹.A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00m.The angle made by the rod with the track is (take,g = 10 ms⁻²)

Options

(a) 0
(b) 30°
(c) 45°
(d) 60°

Correct Answer:

45°

Explanation:

Angle of banking is tan θ = (mv²/r)/mg
⇒ tan θ = v²/rg
⇒ tan θ = (10)²/(10 x 10) = 1
⇒ θ = 45°