A smooth small groove (centre O) of radius
R=1m is cut in a horizontal table and a particle of mass
π2kg is kept in it at
(∠AOC=900). It is attached to point C by an elastic string of force constant
100N/m and natural length
π/2. The block is imparted velocity of
v0=5m/s along the groove, as shown. if maximum value of
θ is
πx. Find the value of
x.