The fig. shows an infinite tower of identical springs each having force constant k. The connecting bars and all springs are massless. All springs are relaxed and the bottom row of springs is fixed to horizontal ground. The free end of the top spring is pulled up with a constant force F. In equilibrium, find
(a) The displacement of free end A of the top spring from relaxed position.
(b) The displacement of the top bar B1 from the initial relaxed position.

Answer

(a) `(2F)/(K)
(b) `(F)/(K) `