Thank you for all the insightful comments. Lnewqban, I initially approached the problem with the thought process you describe but when the solution included the scenario where the rope is dragged up the plane and fastened is where I got confused. As Vela said, I neglected the stretch...
Thank you all for the replies and book recommendations. I do have Loomis/Sternberg and have enjoyed the chapters I have read in that text - I will definitely read further and check out the other references you all suggested.
My understanding of static friction is that it is a resistive force in response to an applied force. I recently read the following example. A rope of uniform density, length L, is fastened to a plane with incline angle “theta” along its length. The question asks for the tension at the top of...
Thanks for the reply. Makes sense. I took a couple of courses as an undergrad in mechanics and EM but its been 15 years and my career is completely unrelated so I am going back and reviewing - Taylor and Morin for mechanics, Griffith for EM. Again this is purely recreational so I am in no...
I am recreationally self studying physics and math with the ultimate goal of understanding theoretical/mathematical framework of classical mechanics, general relativity, and quantum mechanics (in addition to the actual physics). The question I have is how deep in the realm of pure math does one...