A toy car of mass m is placed on a smooth horizontal surface. A particle of mass 3m is suspended inside the car with the help of a string of length `l`. Initially everything is at rest. A sudden horizontal impulse `I = 2m sqrt(gl)` is applied on the car and it starts moving.

(a) Find the maximum angle `q_(0)` that the string will make with the vertical subsequently.
(b) Find tension in the string when it makes angle `theta_(0)` with the vertical.

Answer

(a) `theta _(0) = 60^(@)`
(b) `T = (2mg)/(sqrt(3))`