Slacklining

A slackline is stretched between two trees at a distance, d=10md = 10\,\text{m}, so that a tensioning force, F0=5000NF_0 = 5000 \,\text{N}, is applied on the empty rope. A man then balances in the middle of the rope and exerts a weight force, Fg=750NF_g = 750 \,\text{N}, onto the slackline. What is the vertical deflection, hh, of the rope?

Details and Assumptions: The rope is made of an elastic material and obeys Hooke's law F=Kll0l0,F = K \frac{l - l_0}{l_0}, where FF is the force along the rope, l0l_0 is the initial length, ll is the stretched length of the rope, and K=150 kNK = 150\text{ kN} is the force constant.

×

Problem Loading...

Note Loading...

Set Loading...