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hi,
 I am trying to solve a problem and want the advice in 
this regard.
A winch when generates a torque which ramps up from zero 
at the moment it is turned on to 500 Nm after 2 seconds 
which then remains constant.The winch drum is 1 m diameter 
is connected to a load of 970 N via 30 m of synthetic 
rope, which can be assumed to be weightless.The 30 m 
lenght of rope has a stiffness of 50000N/m.

The model should stimulate the vertical motion of the mass 
during the 4 seconds after the winch is turned on.you may 
ignoe the change in the stiffnessof the rope caused by its 
shortening as it is wound by the winch.You may aaume that 
the rotary inertia of the winch motor, drum unit is 5 kgm2.