A ring of radius r is to be mounted on a wheel of radius R. The coefficient of linear expansion of the material of the ring is α. Young's modulus is Y, area of cross section is A and mass is m. Initially ring and wheel are at same temperature. (r<R)
a) The temperature through which the ring should be heated so that it can be mounted on the wheel
b) Suppose the wheel with mounted ring starts rotating with angular velocity ω. The value of ω for which tension in ring becomes zero ?