A car is moving in a circular horizontal track of radius 10 ~m with a constant speed of 10 ~ms ⁻¹ . 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 (in rad)

Step-by-step solution

Radius of circular track, r=10 ~m speed of car, v=10 ~m / s The given situation is shown below aligned & T = m v^2 r & T =m g aligned Dividing Eq. (i) by Eq. (ii), we get aligned & T T = m v^2 / r m g = v^2 r g = 10^2 10 10 =1 & = 45^ =45^ = 4 rad aligned