Gear Puzzle

Logic Level 1

If the final arrow is rigidly attached to the center of the gear, and the first gear begins to turn counterclockwise, which letter will the arrow first point at?

A B

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Sravanth C.
Mar 21, 2016

Once the first gear rotates the other gears will rotate in the following fashion:

The arrows indicate the motion of the gears The arrows indicate the motion of the gears

Thus, the arrow will point towards the letter A.

Note: The chain which connects the third and fourth gears changes everything. If there was no chain, the system would have pointed to the letter B. But what happened? Why didn't the chain reverse the direction of the fourth gear?

The answer lies in the tooth's of the gears, these tooth's when joined to each other, create a reverse in the direction of the next gear.

But a chain cannot do this, it just couples the parallel axles without reversing the rotation direction, it transfers the motion of the first gear to the next. Observe that if you turn the third gear counter clockwise, the chain also turns in the same direction. Which makes the fourth gear turn in the same direction.

Nicely explained. With these types of problems the way I do it is to simply trace a path starting with the direction indicated, such that when you switch gears you don't make a sharp turn. Imgur Imgur The band is special; for that case, I just transfer the movement to the other gear, as if they were the same gear. This method solves gear problems easily and efficiently :)

Daniel Liu - 5 years, 2 months ago

Log in to reply

@Daniel Liu : I really like this "smooth turn" argument :) Very clever!

Eli Ross Staff - 5 years, 2 months ago

@Daniel Liu : Thanks! Yeah that's better and neater. ¨ \ddot\smile

Sravanth C. - 5 years, 2 months ago

Can you explain why the 3rd and 4th gear will move in the same direction?

Eli Ross Staff - 5 years, 2 months ago

Log in to reply

Done sir! Is it okay now?

Sravanth C. - 5 years, 2 months ago

Log in to reply

I guess I'm curious if you could explain the intuition a bit more behind why being connected with a non-crossed chain will make them rotate in the same direction.

This is the step of the puzzle that most people will get tripped up by, so it's worth exploring in detail.

Eli Ross Staff - 5 years, 2 months ago

Log in to reply

@Eli Ross Right, I've edited it.

Sravanth C. - 5 years, 2 months ago
M.M. Tejada
Mar 23, 2016

gears in contact with each other rotates opposite in direction while gears attached with each other by a fan belt rotates in the same direction thus making the last gear turn towards A.

Achille 'Gilles'
Mar 22, 2016

A gear reverse rotation, a strap (if not in 8 shape) keep the rotation.

So rotation of gears are ↶, ↷, ↶, ↶, ↷

so the arrow will move in the direction of Ⓐ

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...