So these days I have been working through the problems contained in the book Introduction to classical mechanics by D. Morins. I will say I really liked the problems. Apart from some problems with solutions, the book contains over 350 exercise problems with no solutions. So I was thinking we could make a solution manual for the book.

Facts about the book

The problems in the book, have different stars labeled on them;

- 1-star(plenty) - requires good concept of the subject to solve.
- 2-star(plenty) - excellent grasp of the topic
- 3-star(scarce) - profound mastery of the subject
- 4-star(very rare) - the Harvard professors who created the book, won't give them to their students.

The problems are excellent, and have the Brilliant.org feel to them. I was hoping that every week, I will post a couple of the problems, and after gathering ideas and solutions, One solution will be selected (maybe more if they have different approaches), for that particular problem. In a sense it would be a Brilliant.org solution manual.

Please comment below, if you agree with the idea.

Mardokay has shared a link to the book.

And I have worked my way through some of the book, and if you have ideas not clear I would be happy to help.

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## Comments

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TopNewestI think it is a good idea, by the way it is a good book thanks for sharing. I found an online pdf format of this book yay we don't have to buy it Introduction to classical mechanics.I will re-share this.

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Glad you think so, Thanks for sending the link to the book, now everybody can join.

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But the pdf is with solutions...

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\[2T\sin\theta = \lambda (fl)g\]

As you mentioned, the tension will be different from the friction...That is true..Considering the forces for the part of the rope which is in contact with the incline,

\[F = \frac{1-f}{2}mg\sin\theta + T\]

And we know that, the friction force \(\displaystyle F\) is simply \(\displaystyle \mu N = 1\cdot \frac{1-f}{2}mg\cos\theta\).

From these equations, we get,

\[f = \frac{\cos\theta\sin\theta - \sin^2\theta}{\cos\theta\sin\theta + \cos^2\theta}\]

And, we can find the maximum value for this function easily..Is this correct?

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@Mardokay Mosazghi mentioned in the note with the question, right?

Yeah, I think this is correct. The maximum value is attained at \(\frac{\pi }{8} \) asLog in to reply

@Anish Puthuraya said @Sudeep Salgia

Wait that it right, i was convinced that it was\(pi/4\) asLog in to reply

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@Anish Puthuraya will keep a lot solutions ready by then, making your work easier. :D

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Hey thanks for the link. BTW, can you give the E&M by david morin too?

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Sorry @Kartik Sharma there is no pdf for that one i searched and searched but couldnot find it,try it and tell me

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Let's do it

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Great lets just wait a couple of days, for people to see this, and start.

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It really sounds interesting. I would love to join in.

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Same here : )

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Me too

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Glad you think so, i have included some of the statics problem, as a sample, check it out here

This is not going to be the real thing.

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Good idea.........

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Good idea. I will try to help.

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hey

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How many per week, would you guys say is optimal?

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Personaly I am here everyday so the planning goes for others

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