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Sliding Filament Mechanism Mystery Cache

Hidden : 3/5/2009
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:

It's not at the posted coordinates but within a mile of it.

BEWARE OF NETTLES!

The cache is at a height that may require some of you to find something to stand on. I am hoping to keep it above the flood (mud) waters and every inch counts.


Click here for the current level of water in the Black Hawk Creek. At 15 feet you'll need boots but can still access the cache.

Bring a Phillips screwdriver.To get the log container in your grasp I went to a lot of work designing this "inquiry cache" so that you don't need ANYTHING other than the (+) screwdriver (to get it open), and use what is available in the cache. I did color code some things. The log container may not become available on the first try.


You may understand why I chose the name and theme for this geocache if you get at the log in the way I intend for you to do. The theme is: what makes skeletal muscles work and the leverage they provide. I myself have a passion for the sliding filament mechanism model but my students think it’s far too complex to grasp, or maybe they simply don't want to think that much. The basic concept is simple however. To move a bone in your body (a lever mechanism actually) a skeletal muscle must shorten. To make this happen a great many microscopic cylindrical cells must shrink in length. If each tiny muscle cell shrinks by 30%, the entire muscle body which is made of those cells will do the same, shrink by 30%. That way a tiny amount of shrinkage at the cellular level may add up to several inches of shortening of the muscle body.

The animated graphic above depicts the sliding filament mechanism at work. If you decide to lift your forearms, for instance, your brain sends a signal (impulse) to the motor neurons which lead to your biceps. The impulse almost instantly diffuses across the millionth of an inch gap between the motor neurons and the muscle cells. It continues by rushing along the skeletal muscle cell at lightning speed, spreading into each cell along its length. At that moment a high concentration of calcium ions rush out of storage and allow zillions of one type of [unimaginably thin] filament to embrace another even thinner filament next to it. Chemical energy (ATP) then pulls the thinner filaments past the thicker ones in a ratcheting fashion (see the animation). As a consequence, the ends of the tiny contractile compartments in each cell are pulled toward each other - hence the muscle shortens.

Many muscles often have to pull much harder than we realize. To find the coord of this geocache you will in fact have to estimate how many pounds each one of my bicep muscles had to pull when I curled 152.5 lbs back in the day. Because the arm is a third-class lever, the force pulling on the point of contact with the lever has to be more than the force of the weight being lifted. The good thing about third-class levers is that they allow for a wide range of movement of the load end (in this case the hand) even though the muscle (in this case the bicep) shrinks by a small amount.

To begin: let’s say that each of my palms carrying a load of 76.25 lbs (half of 152.5) was 14 inches from my elbow joint (the fulcrum). See the figure below. Now lets assume that my bicep was inserted into (attached to) my humerus 2 inches from the elbow joint. Knowing these values we can now calculate how much force each one of my bicep muscles had to pull on my skinny arms to curl that weight.

Simply multiply the ratio of the elbow to palm distance (A) over the elbow to bicep insertion distance (B) times the load in each hand. Round the answer up to the nearest pound and plug it into one of the equations below to determine where the geocache really is.

When you find the cache you’ll have to figure out what the combination of a lock is, then get the log out of its hidey hole. That’s a requirement to make a “find” on this cache!! Good luck.

Equations
A ÷ B x 76.25 lb = ______ ÷ 1000 = C (minutes to add to the minutes of the bogus coordinate below)
The latitude of the geocache = N 42 27.773 + C = N 42 ___.________
The longitude of the geocache = W 92 23.743 + C = W 92 ___.________

Additional Hints (Decrypt)

Gur pbzovangvba pna or qrgrezvarq ol ybbxvat ng fbzrguvat va gur fjnt ont.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)