Polar co-ordinate system 

Here you will find problems and solutions related to motion in plane in polar co-ordinate system 

📌Radial & cross radial components velocities & accelerations proof:

(Q) If the curve is equiangilar spiral r=ae^(θcotα) and if the radious vector to the particle has a constant angular velocity , show that the resultant acceleration of the particle makes an angle 2α with then radious vector, and is of magnitude v²/r , where v is the speed of the particle.

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(Q) A particle P possesses two constant velocities H and V , such that the H is always parallel to a fixed direction OX and V is always perpendicular to the radious vector OP. Show that the path of the particle is a conic with focus O and eccentricity H/V.

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