Technology of Alpine Skiing

ME1520 D Term 2000

Homework 3. Pushing

Due in class on Tuesday, 11 April

Scenario for problems 1-5:

On the flats a 85kg skier is initially going 9m/s in a turn with a radius of 16m.

Neglect air drag. Neglect ski-snow friction.

The skier steps to the inside of the turn with a pure lateral push so that the radius of the turn is reduced to 15m (assume the edge and lean angles change appropriately).

- What is the speed of the skier on the new radius?
- How much work was done to move to the new radius?
- What was the average lateral force required to move to the new radius?
- What was the initial lateral force?
- What was the final lateral force?
- What is the final speed of the skier?
- What is the direction change?

Extra credit:

Scenario for problems 6 and 7:

The same skier is still on the flats and once again moving at 9m/s, but now along a straight line. The skier makes a lateral push over a distance of 1m with an average force of 475N. Neglect air drag. Neglect ski-snow friction.