cowboy rope

A model to describe a cowboy rope is a ideal plane pendulum of large ##l## and mass ##m## and spherical pendulum of large , mass and inertia moment respect to the vertical ##l_e, m_e, I_e##. I need describe the position of two mases.





I tried with



For ##m##



##x= l \cos \theta##

##y= l \sin \theta##



For ##m_e##

##x= l \cos \theta + l_e \sin \theta_1 \cos \phi##

##y= l \sin \theta + l_e \sin \theta_1 \sin \phi##

##z=l\cos \theta_1##



but, i am not sure. Help please

Attached Images

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