Technology of Alpine Skiing

ME1520 D Term 2000

Homework 4. Machining snow

Due: 18 April 2000

Scenario

On a slope of 18 degrees a 100kg skier is initially going 12m/s in a turn with a radius of 16m. The ski-snow friction coefficient is 0.06 and the ski-snow contact length is 1.7 meters. The shear flow stress of the snow is 0.05 MPa (ignore any changes in the shear flow stress that might occur as a result of stresses across the shear plane).

- Find the minimum depth of edge penetration necessary for the skier to stay in the turn, in the middle of the turn (headed down the fall line) as a function of the edge angle. Calculate the results for edge angles between 5 and 90 degrees in intervals of 5 degrees. Don’t worry about side cut.