A pendulum is hanging from the ceiling of a car having an acceleration a_(0) with respect to the road. Find the angle made by the string with vertical at equilibrium. Also find the tension in the sting in this position.

A pendulum is hanging from the ceiling of a car having an acceleration

1.	A pendulum is hanging from the ceiling of a car having an acceleration a_(0) with respect to the road. Find the angle made by the string with vertical at equilibrium. Also find the tension in the sting in this position.
Answer» Solution :(A) `T sin theta = ma_(0)` ….(i) `T COS theta = mg` …..(ii) `THEREFORE tan theta = (a_(0))/(G)` `therefore` the string is making an angle `tan^(-1)((a_(0))/(g))` with VERTICAL at equilibrium (B) squaring and adding (i) and (ii) `T^(2)sin theta +T^(2)cos theta = m^(2)(a_(0)^(2)+g^(2))` `T= m sqrt(a_(0)^(2)+g^(2))`