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Math Problem of the Week


Jedi Master J.

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Game 1:

 

Attention, all yoctograms!

 

Solve this problem: The reciprocal engine in figure 1 consists of a crankshaft OA 100 mm long and a connecting rod AB 250 mm long. In the crankshaft position shown α = 40°. a] Determine the angle β and the distance OB. b] If α is 90°, what is the distance of OB? c] If α is 0°, what is the distance of OB?

 

You have 200 minutes. Incompletes will be erased.

 

- JMJ 2012 Sho Minamimoto

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B] and C] could be solved without more advanced trigonometry, basically just using the Pythagorean theorem a^2 + b^2 = c^2. A] requires me to actually pull up out my triangular equations thingy... man I needed to remember the sine rule for that one.

 

 

 

A] ~ 14.9 degrees

B] ~ 229 mm

C] 350 mm

 

 

 

:music:

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@xccj: Well, actually for C], you just have to added the arm lengths together since in its case, there is no triangle form at all. But yeah, you don't need advanced trigonometry to solve B] & C] in this problem.

 

And yup, A] requires you to use Sine Law (SIN[a] /A = SIN /B = SIN[c] /C). :) As for your answers to question, they were all corrected. You are missing the length of OB for A] though, which means you are an incomplete. Incompletes get erased as it says above.

 

*erases xccj*

 

lol Just kidding. The fact that you actually bother to answer this math problem is enough for me to say you passed. So congrats you lived to play another Reaper Game. :P

 

By the way, this is the easy homework problem from Wednesday that I was talking about in my previous entry here. I thought it was fitting to use for my TWEWY theme mission entry here. That and I want to see if anyone would actually bother to solve it. XD So yeah, thanks for that, xccj.

 

@V. Lexaeus: Yup! :)

 

- JMJ 2012

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