pattern at which the instantaneous time changes at every position interval is always the

same for levels with different spring stiffness.

 GT
LT' = (3.25)
 (1, + ,23 + ,23 +134 +.......... + ( 1))

Hence, for the altered mast,

Displacement from Zd to Z1

 t= LT'* loi

 V Z Zo
 t1



 ti

Displacement from Zi to Z2

 t2= LT'* 112


 V2 Z Z1
 t2


 A2 Vz-V1
 t
 Az=--


Displacement from Zn-1 to Zn

 tn =LT'* l(n-l)n (3.26)


 Vn= Z Z (3.27)
 tn


 An V V"- (3.28)
 t

 From equations (3.26), (3.27) and (3.28) the velocity, acceleration and

instantaneous time at every position is determined. Hence for every position Zn,