Abstract
AbstractA two degree of freedom model is considered consisting of an elastic rope with a point mass on each end. The rope is hanging over a fixed drum and the contact is modeled frictional. The Eytelwein formula for rope friction can not directly be solved for the rope forces, because of the elasticity of the rope. An extended way to calculate the rope forces will be shown and used to solve the equations of motion for the system. Some numerical results show the motion of the two masses. The considered mechanical system was used to simulate a lead climbing accident. In the case of lead climbing one end of the rope is tied rigidly to the climber then goes through a carabiner that is fixed in the wall and runs down to a second person called the belayer. The elasticity of the rope makes sure that the forces acting on the climber stay low and avoid a sudden stop. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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