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Note: Amplitude describes maximum displacement from the point of oscillation in SHM.

a=-n^2*x d/dx[(1/2)v^2]=-n^2*x (1/2)v^2=-(1/2)(nx)^2+C i.e. v^2=-n^2*x^2+2C At amplitude x=a, the particle/object has velocity 0 right? So when x=a, v=0: =>0^2=-n^2*a^2+2C :.2C=n^2*a^2 Hence, v^2=n^2*a^2-n^2*x^2=n^2[a^2-x^2]

a) 200 revs/min=200/60 revs/s=10/3 revs/s Now, angular velocity=2pi*10/3 radians/s=20pi/3 radians/s b) Per second the wheel did 10/3 revolutions meaning the point of the outside edge of the wheel will travel 10/3 times the circumference of the wheel. So distance travelled=(10/3)*2pi*0.3=2pi metres.

^ah right, thanks :)

guys one last question on this. by flipping what remains above the x-axis arent we no longer satisfying f(x)>=0?

basically since abs(y)=f(x) then f(x)=+/-y?

alright thanks guys, my mind is a bit down today

okay i understand now that abs(y)=f(x) so f(x)>=0 and so you disregard what is below the x-axis but why do you flip what remains about the x-axis?

http://community.boredofstudies.org/attachment.php?attachmentid=24811&d=1333966172 mirakon posted earlier some notes and the above is one link is one set of those. for the graphs of abs(y)=f(x) and abs(y)=abs[f(x)] can someone explain the logic behind the procedure?

Re: BoS group study session? (Easter Edition) This question was actually from the 1998 hsc paper but they didnt specify. It should be polynomial not degree*.

Re: BoS group study session? (Easter Edition) yeh degree and yes thats what I did..not sure about it though EDIT: polynomial

This is random, but can someone help me wif this question? (a) Consider the following statements about a polynomial Q(x) . (i) If Q(x) is even, then Q'(x) is odd. (ii) If Q'(x) is even, then Q(x)is odd. Indicate whether each of these statements is true or false. Give reasons for your answers...

cbf getting up from my bed, so just gonna take a photo with my laptop while laying on it

the statement i bolded is wrong since you are talking about the interval [0,1]. EDIT: ignore the above, your statement is correct. sorry, was tired last night

^ great work guys

calm down mate, we haven't done jackshit yet

i know it wasnt intentional but that made me lol

you mean 5.3 5.3 would probably be a more difficult course

^ I'm confused are you a troll or wut?

no, just one.