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Stan's Apple 31: Mechanical Mind Mystery Cache

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Ngaambul: As the final apple is picked in harvest it marks not the end but the beginning of something new.

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Hidden : 11/29/2014
Difficulty:
3 out of 5
Terrain:
2.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:

Stan's Apple Number 31

Welcome to Stan's Apple, 36 mystery geocaches hidden around Stanthorpe, home to the Queensland Geocaching Mega-Event 2015. A variety of geocaches wait, so get solving and organise a trip to the Granite Belt.


In order to find this geocache, you will need to brush up on your simple mechanism theory and practice a little logic. Work out the solutions to the below problems and substitute the relevant number into the formula below. A checker is provided at the bottom of the page.

S 28Β° 3A.BCD E 151Β° 5E.FAA


Diagram A

Would the system shown above allow the gears to turn?
A = 7: Yes
A = 8: No



Diagram B

If the free end of the green rope on the left were pulled down, which of the following statements would be true?
B = 2: The 'LOAD' would move left and the red wheel would rotate clockwise
B = 4: The 'LOAD' would move right and the red wheel would rotate clockwise
B = 6: The 'LOAD' would move left and the red wheel would rotate anti-clockwise
B = 8: The 'LOAD' would move right and the red wheel would rotate anti-clockwise



Diagram C

Which statement is false regarding the diagrams of pulley systems above?
C = 1: B would allow the load to be raised the fastest.
C = 2: F provides the greatest mechanical advantage.
C = 3: A and D provide equal mechanical advantage.
C = 4: C and E provide the same mechanical advantage.
C = 5: In general, more pulleys provides a greater mechanical advantage.



Diagram D

Wheel A in the diagram above is made to turn, wheel B will rotate..
D = 2: In the same direction as wheel A.
D = 5: In the opposite direction to wheel A.
D = 7: Turning wheel A will not make wheel B rotate.



Diagram E

Wheel A makes one full revolution clockwise, as indicated. How will wheel B rotate?
E = 9: Wheel B will make a half rotation anti-clockwise.
E = 8: Wheel B will rotate once anti-clockwise.
E = 7: Wheel B will rotate twice anti-clockwise.
E = 6: Wheel B will rotate three times anti-clockwise.
E = 5: Wheel B will make a half rotation clockwise.
E = 4: Wheel B will rotate once clockwise.
E = 3: Wheel B will rotate twice clockwise.



Diagram F

In the above diagram, the centre gear is made to turn. Which of the following statements is true?
F = 9: Wheel W and wheel Y would rotate in the opposite direction to wheels X and Z.
F = 7: The centre wheel and wheel X have a 1:2 ratio.
F = 5: Wheel Y will turn at about 150% the speed of wheel Z
F = 2: Wheel X will turn at the greatest RPM.
F = 0: Wheel W will turn roughly 2.9 times faster than the centre wheel


Check your solution

Additional Hints (Decrypt)

[Puzzle] EGSD [GZ] CIP. Ebpxl uvyy. Haqre ebpxf naq oenapurf.

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)