Looking for Problems in Classical Mechanics

AI Thread Summary
A first-year student is seeking challenging classical mechanics problems suitable for their basic calculus level but struggles to find resources online. Suggestions include exploring a specific website with a variety of problems and answers, as well as utilizing MIT OpenCourseWare for assignments. The student emphasizes the importance of problem-solving for a deeper understanding of the theory, noting that their textbook focuses more on mathematics than on the underlying physics concepts. They express a desire for problems that align with specific topics and difficulty levels. Engaging with varied problems is seen as essential for developing a comprehensive grasp of classical mechanics.
P3X-018
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Hi,
I'm looking for som difficult and challanging problems in classical mechanics to solve. I've tried to search google but couldn't find any website with challanging problems. Besides I'm a 1. year student, so the math has to be on that level too (basic calculus).
So does anyone know a website or something similar where there are such physics problems? I would really appreciate it.
 
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P3X-018 said:
Hi,
I'm looking for som difficult and challanging problems in classical mechanics to solve. I've tried to search google but couldn't find any website with challanging problems. Besides I'm a 1. year student, so the math has to be on that level too (basic calculus).
So does anyone know a website or something similar where there are such physics problems? I would really appreciate it.
You'll find thousands of them here at this site, of varying levels of difficulty, with answers to boot! Pick a few, and no fair cheating!
 
PhanthomJay said:
You'll find thousands of them here at this site, of varying levels of difficulty, with answers to boot! Pick a few, and no fair cheating!
What do you mean? Are you talking about older threads? Otherwise I can't seem to find what you were talking about.
 
P3X-018 said:
What do you mean? Are you talking about older threads? Otherwise I can't seem to find what you were talking about.
Yes, why not?
 
You could also look at problems you have done throughout your course and use them as guidelines for making up your own.
 
arildno said:
Yes, why not?
Because I was looking for specific topics. And the threads are not always about the wanted topic, and in addition they are not always at the wanted difficulity level.
But Checkfate's idea sounds good.
Besides I found that MIT OpenCourseWare have assignments for the curses online, that should keep me busy for a little while.

The idea of this, is that I want to have a real good understanding of the theory. Even though you can understand the theory easilly, there are always interesting questions about that topic that may never think of, when you just read about the stuff. But such questions may arrive when you are solving problems or so.
And my textbook ("Elements of Newtonian Mechanics") isn't really detailed about the topics, it concentrates more on the math than on the real physics.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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