Note by Brilliant Member
1 year, 5 months ago

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Any suggestion on coordinate geometry, I am very weak in it?

- 1 year, 5 months ago

Hey you like integrals.I have a good one1)$$int1/(a+b(1-x))^2dx$$with x varying from $$0-1$$.This is a Feynman's Puzzle.Looks easy but needs some more....

- 1 year, 5 months ago

use the transformation x-> 1-x and then differentiate the function 1/(a+bx) wrt a and then done.

- 1 year, 5 months ago

And also try to read "Feynman's trick"of differentiation under the integral sign.You will surely like it.

- 1 year, 5 months ago

I just know how to apply it I don't know the technalities behind it, will study soon.

- 1 year, 5 months ago

OK ok.That will lead to answer of $$I=1/ab$$.If a and b are of opposite sign then the integrals value is Negative $$(ab<0)$$.But the integrand be a square the area can never be negative.How do you resolve this...Here you integrating through Singularities.Pretty much the same thing as $$dx/x^2$$ integral from (-1 to 1) isn't -2.The function blows up when x-->0...That's why its a Feynman's Puzzle...Try using limits in integrand.

- 1 year, 5 months ago

Which part...I guess straight lines and circles you must be well acquainted with......Coordinate needs some heavy practice....Formulas and all those stuffs should be known all the time..?As such I don't follow any special book only fiitjee package.

- 1 year, 5 months ago

TMH and archive will suffice.

- 1 year, 5 months ago

Hey in your q you talked abt Max area....I think it should be min.I did it as the req point of intersection is $$apq,a(p+q)$$ where the points P and Q are $$(ap^2,2ap)$$and $$(aq^2,2aq)$$.Then the cond yields $$apq=-1$$.Vertex being $$(0,0)$$The Area of $$PCQ$$ is $$a^2|pq(p-q)|$$.Puting $$pq=-1/a$$ And later applying AM-GM yields the ans as $$Min=1$$.$$a=1/4$$ from $$y^2=4ax$$

- 1 year, 5 months ago

Yeah you are right, my mistake, edited!

- 1 year, 5 months ago

Ya I see the problem has been changed.Thanks....I was surprised because of the title "its right"....I accepted my ans to be wrong....

- 1 year, 5 months ago

Use the fact that since we assume strings to be inextensible, velocity of M at bottommost point will be only in horizontal direction, and use constraint relation between the velocity of M and m by equating their velocities along the thread connecting them.Finally use energy conservation.

- 1 year, 5 months ago

Thanks Harsh & Spandan.

- 1 year, 5 months ago

I got it. Will post a solution by night.

- 1 year, 5 months ago

- 1 year, 5 months ago

Ya I know this q.Follow Harsh s solution.And you will get it.And if any problem then tag me and I will post it.Ok

- 1 year, 5 months ago

Hey Spandan ,AE can you guyz tell me good source for practicing mechanics questions, especially rotational mechanics?

- 1 year, 5 months ago

Irodov(that's too good a book as I felt for rotational mech),and hc verma is good as well.For more tough prob you can refer to 300 creative physics problems by Laszlo Holics.

- 1 year, 5 months ago

yes, i have done that book it's amazing.

- 1 year, 5 months ago

Then try this "A guide to physics problems"... May be the second part be a bit tough as its Mostly Quantum Electrodynamics,Quantum Mechanics and all those stuffs but part 1 is good...... You will surely like it..And also try the integral I have posted

- 1 year, 5 months ago

dekhunga abhi ke liye toh jee bhot h :P

- 1 year, 5 months ago

pdf h iskki ?

- 1 year, 5 months ago

No my sir had given me...Not now but do try after you go an iit

- 1 year, 5 months ago

yes sure , why not ? i'll be doing mechanics for next 3 days even though i have chem exam ;P

- 1 year, 5 months ago

Ya....that book is very good.

- 1 year, 5 months ago

Complete??good.I just solve in leisure....

- 1 year, 5 months ago

nah, not completely though ;P

- 1 year, 5 months ago

I used to solve some each day before inpho but now I have made up a plan to complete It.

- 1 year, 5 months ago

nice , it's an awesome book , go for it.

- 1 year, 5 months ago

Yes irodovs questions are good they are good but they are repeated in many books.

- 1 year, 5 months ago

Further you may try David morin and peter gnadig's book " 200 puzzling questions in physics"

- 1 year, 5 months ago

But answer to David Morin's questions are not available? Do u have them?

- 1 year, 5 months ago

I feel the questions in Problems section are good enough .These problems have detailed solution which should be enough I guess.

- 1 year, 5 months ago