Studying Understanding physics and problem solving

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To gain a solid understanding of physics at the Halliday-Resnick level and improve problem-solving skills, continuous practice is essential. It's common to feel confident after completing a chapter, yet struggle with new problems due to gaps in conceptual understanding or unfamiliarity with the problem types. To overcome this, it's recommended to engage with a variety of problems, including generating variations of known problems to deepen understanding. Probing deeper into concepts and asking "what if" questions can enhance learning and problem-solving abilities. Building skills takes time and patience, and encountering challenging problems is part of the learning process. While Halliday-Resnick is a solid resource, exploring additional texts may also be beneficial for a more comprehensive grasp of physics concepts.
Mastermind01
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Hello,

I would like to have a good understanding of physics at my level (level of Halliday-resnick) and to be able to solve problems. It so happens that I read a chapter and solve the all the problems and exercises and I feel I am done, I know the stuff. But then up comes a problem and I get stuck, this usually happens because -

a) I don't think of something or
b) some of my conceptual understanding is wrong or foggy.

How can I avoid this, after I have 'finished' the chapter?

Thanks.
Mastermind
 
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I know what you mean. To be honest usually one can solve a problem 'quickly' if he/she has encountered it before, or at least something similar. Otherwise, it would take considerably more time to be solved depending on the complexity of the problem. I don't have much to say except keep practicing new problems.

All the best.
 
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Generate your own variants on the given problems and solve those .

It is in any case a good idea to habitually probe problems at a deeper level than that just needed to 'solve' them . Asking ' what would happen if I changed this ' is a powerful learning and problem solving tool in both engineering and the sciences .
 
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Nidum said:
Generate your own variants on the given problems and solve those .
I second this.
 
Mastermind01 said:
Hello,

I would like to have a good understanding of physics at my level (level of Halliday-resnick) and to be able to solve problems. It so happens that I read a chapter and solve the all the problems and exercises and I feel I am done, I know the stuff. But then up comes a problem and I get stuck, this usually happens because -

a) I don't think of something or
b) some of my conceptual understanding is wrong or foggy.

How can I avoid this, after I have 'finished' the chapter?

Thanks.
Mastermind

Taken even in a limited context, I don't think that this is strange or not normal. a) and b) you give as causes, are things that can and do happen all the time, for a multitude of reasons. In a more general fashion, you'll always find some problem that you can't tackle in one sitting, even if you have studied a lot of the relevant material and solved a lot of exercises / problems. It simply is the case that any kind of skill set is built gradually, through time, with patience. In fact you must seek to find difficult problems that you can't tackle at first and give them the time they deserve.
 
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Thank you for your responses.

I'll certainly tweak the problems and try to solve them. Will Halliday--Resnick be enough or is there some other book I should also look at?

Thanks
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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