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# Rock Climbing Fall Impact Force

This equation computes the Impact force of a fall on a climbing rope.  The force is based on the following inputs: d = lead climber's distance above last anchor point.* m = climber's mass, thus the mass creating the impact force on the rope k = the elasticity constant for the rope (in choice of system of measurement). units =  choice for system of measurement: SI or US The force of impact is calculated as the force on an undampened  harmonic oscillator (the rope is like a spring), which has an elasticity factor, k, that is uniquely attributed to each rope. You must choose the units of the rope's elasticity factor (spring factor) as SI (N/m) or US (lbf/ft).  See the NOTES Page for a complete derivation of this equation. * Note fall distance is twice d