AP EAMCET Engineering 2018 Apr 22 Shift 2 Paper

A sphere of mass 2 kg and diameter 4.5 cm is attached to the lower end of steel wire of 2 m length and area of cross section 6 2 0.24 10 m− × . The wire is suspended from 205 cm high ceiling of a room. When the system is made to oscillate as a simple pendulum, the sphere just grazes the floor at its lowest position. The velocity of the sphere at the lowest position is
(Young’s modulus of steel =2×1011Nm−2 and acceleration due to gravity = 10 ms‌−2)