Wow, yup that’s pretty much exactly what I was trying to do. What a beast of a problem! Thank you and @kuruman for bringing up the traveling salesman problem! Hopefully delving into this more will bring me some better insight. :-)
Hello, recently I was looking into visiting Tokyo and started looking into its complicated but wonderfully efficient railway system. I picked 6 destinations in the area and looked up how much it would cost to go from anyone of the locations to any other.
Then I started to wonder, if I...
I feel like I might be missing something here, but how is the deriviative of ln(x) equal to 1/x? The graph of ln(x) only has valid x values to the right of the x axis. The graph for 1/x has valid values for x for all real numbers except for 0. Am I to deduce that functions and their derivatives...
Thank you for your reply, @symbolipoint. I would say that my mathematical skills are better than the average adult who has been out of college for 5 years. For the past several months, as I have been contemplating this life transition, I have been refining my skills via various online math...
Hello. So, I went to school and got my BA in a degree not at all related to science. I graduated in 2012 and have been working in my filed since then. I enjoy the work mostly but have recently been feeling a lack of satisfaction in my profession.
I have for most of my life loved math and...
That I am aware of lol. Sorry for not being clear. What I meant was do you have resources in mind that discuss the physics of breaking points of materials that I could read so I can become more familiar with to how to address these types of issues? I am not a physics student so I am teaching...
Thanks for your guidance. I have a friend who is building a pulley system that is using pulleys in the configuration of the left system I posted. Would you happen to know of any online resource that I could read that address the potential issues that could arise with the metal casing?
Cool. Now what if they are inside a metal casing that is bolted to the ceiling? Would I just ignore the horizontal and vertical forces and just use their combined diagonal force when it comes to the pulleys' safe working load?
Ok so I will attach an image of two pulley systems. The one on the right is straight forward. Both forces are vertical so the force pulling down on the pulley is easy to figure out. The one on the left makes me a bit more confused. For the one on the left I was wondering if the combined vertical...
Was there a physics pun in there somewhere? ;-) I appreciate your patience and your attempt to work the answer out of me. Seems what I need to do is a bit more research on tension and delve more into the physics of statics. I've just begun looking into this area and I think I was pushing my...
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2. Point taken. But with a free body diagram wouldn't forces on the pulley just be 150 pounds upward and 150 pounds downward? Which then yes they would add up to zero. But if you had rope that was able to handle a ton and you attached a weight to the pulley that was a ton, the pulley would...
It tells me that the moveable pulley has 150 pounds of force pulling it down by the weight of the object and the the ropes are pulling up on it with a combined total of 150 pounds force which is why it is not accelerating. But I guess what I don't know is when a pulley is made and its tested to...