Additional problems in Classical Mechanics

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Discussion Overview

The discussion revolves around finding challenging problems in classical mechanics for a first-year Physics/Biology major. Participants share resources and suggest creative problem-solving approaches, focusing on the difficulty level of existing materials.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses difficulty in finding high-level classical mechanics problems online or in textbooks, noting that MIT problem sets and Kleppner & Kolenkow's book do not meet their needs.
  • Another participant suggests creating original problems, such as calculating the torque on a telephone pole lifted by a helium blimp.
  • A different participant agrees with the idea of creating surreal problems, providing an example of a pole floating in midair at Earth's surface.
  • Several participants recommend the book "Classical Mechanics" by David Morin as a source of challenging problems.
  • One participant mentions analytical mechanics books by Landau and Calkin as alternatives for finding difficult problems.
  • Another participant suggests specific problem collections, including works by I.E. Irodov and I.V. Meshchersky, as fitting the desired difficulty level.

Areas of Agreement / Disagreement

Participants generally agree on the difficulty of finding suitable problems and suggest various resources, but there is no consensus on a single best source or method for generating challenging problems.

Contextual Notes

Some participants reference specific books and problem collections, but the effectiveness of these resources in meeting the difficulty level remains subjective and unverified.

golanor
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Hello,
Since I cannot post this in the "Learning Materials" forum, I thought I'll just post it here.
I am a first year Physics/Biology major, and I am currently studying a course in classical mechanics. My problem is that I do not seem to find high level problems in mechanics anywhere online, or in books. I've tried doing MIT problem sets from their OCW website, but most of it, compared to our problems/tests are not very hard.
I've also tried solving problems from Kleppner & Kolenkow's Introduction to Mechanics (The book recommended in our syllabus), but that, too, wasn't difficult.

Does anyone know where I could find some difficult problems to tackle?

Thanks!
 
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Maybe try making up your own. For example what is the torque on a telephone pole being lifted by a helium blimp over a lake of water. What buoyant force is required to do this. If the blimp drops the telephone pole in the lake with initial velocity vi, how deep will it go before it floats to the top, or will it sink?

Things like that
 
That's actually a great idea. Thanks!
 
I've found that the more surreal problems are usually funnier to solve. For example, how long does a thin upright pole of fixed density have to be in order to float unsuspended in midair at Earth's surface (moving with the Earth's rotation)?
 
golanor said:
Hello,
Since I cannot post this in the "Learning Materials" forum, I thought I'll just post it here.
I am a first year Physics/Biology major, and I am currently studying a course in classical mechanics. My problem is that I do not seem to find high level problems in mechanics anywhere online, or in books. I've tried doing MIT problem sets from their OCW website, but most of it, compared to our problems/tests are not very hard.
I've also tried solving problems from Kleppner & Kolenkow's Introduction to Mechanics (The book recommended in our syllabus), but that, too, wasn't difficult.

Does anyone know where I could find some difficult problems to tackle?

Thanks!

Have a look at the CM book by David Morin, or get an analytical mechanics book like Landau or Calkin and try to arrive to the same solutions using Newtonian mechanics.
 
Lavabug said:
Have a look at the CM book by David Morin, or get an analytical mechanics book like Landau or Calkin and try to arrive to the same solutions using Newtonian mechanics.


Are you referring to L.D. Landau, E.M. Lifgarbagez (1976). Mechanics. Vol. 1 (3rd ed.). Butterworth–Heinemann. ISBN 978-0-7506-2896-9.
?
 
I second the Morin recommendation. It's a great book of problems. My first recommendation would have been Kleppner but you said you have already done that one (although maybe in the process of choosing problems you missed the more difficult ones?). Good luck!
 
I picked up the Morin book, it is wonderful, doesn't even feel like I'm reading a textbook.
Thanks again!
 
try these
1. problems in general physics - I.E.Irodov
2. collection of problems in theoretical mechanics - I.V.Meshchersky

i hope these fit in the difficulty level u want.
 
  • #10
Thanks, i'll check them out.
 

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