Package sliding down a round surface

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Homework Help Overview

The discussion revolves around a physics problem involving a package sliding down a round surface. The scenario includes a package with a mass of 1 kg arriving at a smooth runway at a speed of 1 m/s, and participants are tasked with calculating the maximum angle at which the package begins to veer off the track, given a radius of 0.5 m.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the forces acting on the package, including the normal force and gravitational components. There are discussions about the equations governing centripetal force and the relationship between potential and kinetic energy. Some participants question the definitions of angles and the setup of free body diagrams (FBDs).

Discussion Status

The discussion is ongoing, with various approaches being explored. Some participants have offered insights into the relationships between forces and angles, while others express confusion about how to relate different equations and variables. There is a collaborative effort to clarify concepts and derive necessary relationships.

Contextual Notes

Participants note the challenge of working with multiple unknowns and the lack of explicit values for certain variables, such as maximum acceleration. The discussion highlights the need for trigonometric relationships to progress further in solving the problem.

  • #31
Thanks. Check if 1/2+0.5*9.81=5.905:devil:

ehild
 
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  • #32
Done! :smile:
(And edited my full solution to eliminate the calculation errors.)
 
  • #33
You guys are incredible!

Test's over and I did very well. We're not going to study mechanics next semester. :smile: So, I just want to say big thanks^^ Next year I might be the tutor for the 1st year mechanics students, so my adventures in the realms of basic mechanics might (or very probably) not be over yet. I still have a few holes to fill, but I think I'll worry about closing them later^^

This problem is definitely too big and too complex! Reminds me of the crashing airplanes, even though I eventually solved it. There have been a few questions throughout the year in our basic mechanics course considered controversially too difficult. This might as well be one of them!
 
  • #34
Whaaaaaaat! But, but, but, ... you can't!
You can't stop doing mechanical problems! Sniff! :cry:
And btw, the planes didn't crash (WHOAA!), so there's still more stuff to see, to learn...
 
  • #35
They did crash, because the distance is so small! And, frankly, I'm already having a mechanical itch, so I'll never really stop doing mechanics, it's just that I'll be doing it from now on at a much slower pace! :smile:

So now I can be relaxed and go over this problem for instance and there was a 3D statics problem at the test that I'm still looking at how to solve it. So, this is for the best, since I can now invest more time and effort in a single problem, rather than shooting all over the place to get as much as I can. I think you'll like me better that way :smile:
 
  • #36
I have no complaints about how much time and effort you invest in all of your problems!
And I like you any which way I can, as long as we're interacting. :shy:
Of course it helps if you make a drawing every now and then!
(And if you don't secretly remove a cord from a problem! :wink:)
 

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