Anyone have solutions to AM1052/AM1023 Past Papers?

Redisle

Im looking for any solutions to AM1052/1023 (First Year Engineering mechanics). Specifically solutions from Sum/Aut 2008/2009 which is as far back as the current lecturer goes. Looking for things like derivations of maximum range from Summer 2008 Q2 for example. Really shouldn't have left this so late (Exam is tomorrow :eek: )

Jay P

Redisle wrote: »

Im looking for any solutions to AM1052/1023 (First Year Engineering mechanics). Specifically solutions from Sum/Aut 2008/2009 which is as far back as the current lecturer goes. Looking for things like derivations of maximum range from Summer 2008 Q2 for example. Really shouldn't have left this so late (Exam is tomorrow :eek: )

Are the derivations not in the notes from Gareth Thomas? Most of the stuff seems to be covered fairly extensively in his notes.

jonny ambition

http://euclid.ucc.ie/pages/staff/thomas/AM1052/Assignments/Assign2_Solution.pdf

Solution to assignment 2 which the question is based.

Redisle

Im probably not trying hard enough but the question im referring to is looking for the max range of a particle fired from a cliff before it hits the sea. Also wants the optimum angle, there's no angle specified in the question.
I can't find a solution for this particular problem in his notes, there are similar ones but Im having problems getting the exact solution required in the exam.

Eliot Rosewater

I know the question you're on about; it was bothering me for a few days but I got it out last night. The formula from the first part of the question is

[LATEX]\displaystyle y=x\tan\alpha-\frac{g x^2}{2 U^2 cos^2 \alpha}[/LATEX]

Obviously y=-h

[LATEX]\displaystyle -h=x\tan\alpha-\frac{g x^2}{2 U^2 cos^2 \alpha}[/LATEX]

Solve for x. The trick is to get the equation as a quadratic in tan.

[LATEX]\displaystyle -h=x\tan\alpha-\left(\frac{g x^2}{2 U^2}\right)\frac{1}{\cos^2 \alpha}[/LATEX]

Trig identity:

[LATEX]\displaystyle -h=x\tan\alpha-\left(\frac{g x^2}{2 U^2}\right)(1+\tan^2\alpha)[/LATEX]

Thus

[LATEX]\displaystyle \tan^2\alpha\left(\frac{g x^2}{2 u^2}\right)+\tan\alpha(-x)+\left(\frac{g x^2}{2 u^2}-h\right)[/LATEX]

As he said in the review lecture, the maximum range has only one angle, thus the quadratic above has only one solution. So b squared = 4ac, and the solution is -b/2a. It's easy from here.


I'm more worried about section B myself.

jonny ambition

I was going an ar$e way about it. Thanks for that! Did Gareth Thomas cover much in the review? I wasn't able to make it because of work.

Section B will be tough and I slugged through the notes on Blackboard, tough but not impossible. It's nearly a physics course.

Eliot Rosewater

The review lecture was awful. A waste of time even. Just be sure to get your notation right in the exam; he's going to come down hard on people who don't underline vectors.

Section B: If it's like 2008 it will be grand, even easy. If it's like 2009 it will be nearly impossible! (I didn't do Physics).

KnifeWRENCH

Eliot Rosewater wrote: »

Section B: If it's like 2008 it will be grand, even easy. If it's like 2009 it will be nearly impossible! (I didn't do Physics).

2008 was the year I did that exam. Section B was easy enough that year in fairness! Do you guys have Gareth Thomas and Jim Grannell? If so, they tend to stick rigidly to the format of past exams, so I wouldn't expect too many surprises.

And Gareth Thomas is a nut for proper notation, so make sure your vectors all have arrows or underscores or something! :P

Redisle

Thanks for that, didn't bother with the review either since I never really learnt that much from his lectures in the first place. I haven't even looked at section B yet so Im pretty worried about it too! Il be up late tonight no doubt.

Im thinking the test will now be worth ~86 marks out of 100 since the post christmas lecturer didn't give any assignments.

Fom the book of modules:
Assessment: Total Marks 100: End of Year Written Examination 80 marks; Continuous Assessment 20 marks (three assignments of equal weight.).

Assuming the 3 questions to be completed on the paper have equal weight (2 questions for section A, we had 2 lectures/week and one question for section b with 1 leture/week) it should be possible to easily pass the test without even doing section B. Get question one out fully and part of another one and you pass basically.

Obviously atttempt section B but it shouldn't effect a pass/fail mark if you do okay in section A.

Eliot Rosewater

KnifeWRENCH wrote: »

Do you guys have Gareth Thomas and Jim Grannell?

We don't have Grannell; we've Liam Floyd instead. He seems like a nice chap, so I'm hoping he won't bite!!

Redisle wrote: »

Thanks for that

Anything for a Linux user.

Redisle wrote: »

Im thinking the test will now be worth ~86 marks out of 100 since the post christmas lecturer didn't give any assignments.

I don't think so. G Thomas reemphasized in the review lecture that the exam was worth 80%, so I assume the assignments are going to count for 10% each.

Knifey Spoony

Jay P wrote: »

Are the derivations not in the notes from Gareth Thomas? Most of the stuff seems to be covered fairly extensively in his notes.

Ha! That's a good one.

He's a terrible lecturer, his notes are waste of time as he there seemed to be nothing worth while covered in them, in terms of examples. I remember the sinking feeling I had sitting his test last year, and tbh i how no idea how i passed it, never mind did so well in it, no thanks to Gareth.

Anyway, to all the first elec, physics and, to a lesser extent, energy students, good luck tomorrow with it.

Weren't the notes that i gave you redisle much use to you????

Eliot Rosewater

Knifey Spoony wrote: »

Anyway, to all the first elec, physics and, to a lesser extent, energy students, good luck tomorrow with it.

It was a mathematician who solved the problem here, unsurprisingly.

Knifey Spoony

Eliot Rosewater wrote: »

It was a mathematician who solved the problem here, unsurprisingly.

Oh yeah, forgot that maths students were in there with us and one or two arts.... so good luck to all who are sitting that exam then, ye'll need it!!!

jonny ambition

And a few chemistry students! :pac:

Jay P

Section B

I realised today I never downloaded Chapter 4 of the notes, so in the review when he said we only have to go as far as page 23, I thought there was something wrong, because projectile motion is at the very end of Kinematics.
I have a terrifying amount to do between now and the exam...

Redisle

Well that section B was a very pleasant surprise!
Most questions on the Leaving Cert App Maths course were harder than that!

Section A was okay, got out 1 and a half questions anyways.

Richard Cranium

I thought Section B was a horrible, nasty surprise actually. I was hoping for a question on conservation of energy or gravity (or even damped harmonic motion). The questions from the last couple of years were much handier than what we got, imo. I seem to be in a minority though, I didn't hear anyone else complaining afterwards.