Book to learn how to solve tough problems.

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I'm having a hard time with the Irodov problems in General physics, especially with some of the last multistep problems as well as the waves/optics section, mainly because there are more advanced applications of extended object momentum, non-inertial frame, gyroscopic motion that I haven't learned yet.

Is there a rigorous undergrad level book that has many worked examples and can supplement well the Irodov Problems in General Physics?

I have the Resnick Halliday, but its treatment seems way too simplistic for me to tackle olympiad level problems like those on Irodov.

Here are the topics I need to strengthen:

1. Extended object mechanics (as well as kinematic relationships between interacting objects, which is widely used on pulley problems in Irodov)
2. non-inertial frames (was well as Work-Energy theorem in non-inertial frame)
3. Optics (especially the E&M aspect of optics)
4. gyroscopic motion
5. angular momentum

Some problems I have a hard time, include:
- rolling object hits a corner,
- 2 mass connected by a spring are accelerated by a force
- 2 masses connected by a spring vertically and both leaving the ground after releasing the spring??
- hideous pulley problems

Thanks!
 
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I would recommend the book University Physics with Modern Physics by Young and Freedman. It has a very comprehensive coverage of all the topics you mentioned and includes worked examples to help you understand the concepts better. There are also end-of-chapter problems that you can use to test your understanding. Additionally, there is an accompanying Student Solutions Manual that provides step-by-step solutions to all the end-of-chapter problems so you can check your work.