The pulley system with three degrees of freedom

This paper discusses the dynamic system solution with three degree of freedom consist a weightless cable thrown over two fixed side pulleys and the third, free pulley moving along the rope. The cable is stretched with weights attached to its ends and the weight of the free pulley causes the cable dip. Passive resistance on the pulleys stops them from moving. The mathematical description uses a system of differential equations combined with complex kinematic relationships and a description of the passive resistances. The set of equations is converted to a format suitable for numerical solution and a simulation model is created in the Matlab -Simulink program. The results are presented in the form of various relations of kinematic and dynamic system variables.