A particle is attached to an inextensible light string that goes through a small hole in a smooth horizontal table The free end of the string A is pulled down at a constant speed of u. At time t = 0...

A particle is attached to an inextensible light string that goes through a small hole in a smooth horizontal table The free end of the string A is pulled down at a constant speed of u. At time t = 0 the length of the horizontal part of the string is r₀, and the angular speed with which the particle rotates about the hole is ω₀.

(i) Find out the expressions for r and ω at time t and

(ii) the tension in the string.