A sphere of mass 20kg is suspended by a metal wire of unstreached length 4m and diameter 1 mm. When in equilibrium, there is a clear gap of 2 mm between the sphere and the floor. the sphere is gently move aside so that the wire makes an angle thita with the vertical and is relesed. find the maximum value of thita so that the sphere does not rub the floor. Young modulus of wire is 2×10^11 N\m^2.
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