The Physics and Skiing — What is up With That?

By: In: Skiing

Some of you may ask WTF am I doing mixing up physics on this site.

A lot of good skiers can ski without knowing a vector from victor, of that there is no doubt as any accomplished skier may know they ski without thinking of what is happening, they just do. Depending on my goals and the run I am on I think either a lot about the mechanics and dynamics of what I am doing or not at all. I rarely think of force normal, trigonometry, or Newton’s laws.

However, I think understanding the basic mechanics of skiing will help anyone become a better skier (or boarder). This list of basics includes how skis work, how the various forces we contend with influence our trips down the mountain, and so on.

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A Better Free Body Diagram!

By: In: Skiing

One of the items I’ve been talking about here are the physics of skiing and focusing on the basic Newtonian Mechanics of skiing. Of late I’ve taken the approach to talk about basic force and have dabbled in energy a bit.

As I have gone over here, I like to ski fast, so putting on my physics hat I’ve taken to analyzing at how fast one can expect to go on a given slope. Again, I wave my hand and in The Wis-Skier’s Ideal World there is no board (whether one or two) – snow friction or resistive forces and wind resistance is similarly dismissed. Also let us assume we are going to ski down the fall line of a perfect slope that is we do not have to worry about rollers or changes in the pitch. Yes, it sound ridiculous but all of those other considerations are nothing but distractions now.

First an improved free body diagram…
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Forces Involved In Skiing

By: In: Skiing, Technique

Snowboarder zooming down a run

Discussion of Missing Forces

In this diagram I highlight two forces involved in skiing. The force of gravity and the force normal (the force pushing back by the surface of the slope). However, this is an idealized situation and there are other forces that are assumed away. Why is it safe to assume them away and what forces are they?
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Free Body Diagram

By: In: Skiing

Basic and Elementary Free Body Diagram

Free Body Diagram of a Snowboaarder at Rest

What we are looking at is a simple free body diagram. Free body diagrams are used by those studying the physics of a situation to understand and visualize the forces at play in the situation under study.

In the situation I depict above, a snowboarder is on a level surface, that is the surface is perpendicular to the direction of the force of gravity. The black arrow represents the force of gravity and the blue arrow is the force of the snow covered earth pushing back against the snowboarder! The last part seems a bit counter-intuitive and you need to think about it.
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Ski Energy

By: In: Skiing

Sir Isaac Newton

Sir Isaac Newton

Energy is a term we hear about quite a bit, we have a general notion of what it means, but unless we remember our basic physics we have usually have less than a precise understanding of energy.

We know our cars need energy to move, we know we need energy to heat our food, to light our nights, and to perform other useful tasks. However, let us focus on mechanical energy which is basically the energy objects have via their motion.
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Great Gravity

By: In: Skiing

Sir Isaac Newton

Sir Isaac Newton

Sir Isaac Netwon did not quite understand what gravity was, but the math he developed describes normal gravity extremely well. When you hear how artillerymen before Newton thought their projectiles behaved it is tempting to wonder how intelligent they were. Of course, they were no dummies, but humanity did not have the mathematical knowledge to describe how projectiles behave in our gravitational situation. Einstein’s understanding of gravity is much more intimate, it gets much closer to truly understanding WHAT gravity really is, but I’m talking about skiing down our mountains at speeds substantially less than the speed of light (be careful there or you will get fined & jailed)!
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Skiing, Velocity, Acceleration, and Forces

By: In: Skiing

Sir Isaac Newton

Sir Isaac Newton

Back to thinking of physics and skiing.

Newton’s first law of motion states: Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it. This is like a pool of water deep in a mineshaft, it appears to be 1′ deep, but is actually 30′ or more deep.

By motion we mean velocity which is a vector quantity. That is, we have to consider speed as well as direction. In this discussion we will focus on speed.
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Vectors

By: In: Skiing, Technique

Sir Isaac Newton

I do not blame if you are thinking back to Airplane and the query to the control tower: What is your vector Victor?. What the hector a vector and how in the world do vectors apply to skiing?

Certainly, one does not compute vectors consciously while skiing anymore than Aaron Rodgers or Brett Favre computes the velocity the football needs to be traveling to hit the receiver 20 yards down field. Still, understanding the math and physics behind what we do can be useful in understanding the whys and hows of skiing.

We start off discussing vectors.
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Skid Row

By: In: Skiing, Technique
Begg\iners

For Beginnners

Intermediate

Skidding is one of the first things most skiers learn. We all use the skid to stop when the earth’s contours do not allow us to stop when and where we want to.

At the end of the day I like to come down my hill’s big black diamond run and then depending on how much speed I have I will carve out to the left and take the long way up to the main lodge. If conditions give me less speed then I shorten how much I break out to the left. I can usually come to standstill right next to the steps of the main lodge without having to skid.

Some years ago I picked upon a copy of Warren Witherell’s How the Racers Ski and he emphasized skids are to be avoided!
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