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"A particle is moving in SHM in a straight line. Its maximum speed is 2m/s and its maximum acceleration is 6m/s^2. Find the amplitude and period of motion. " Anyone have an easy way of doing this?

Is a function, f(kx+x) the same as a function f(kx) + f(x)?

240 degrees is in the third quadrant, so using ASTC, you can deduce that sin 240= -sin60, =-Root3/2

Does anyone know where abouts in the book there is a quote about how Genia is crying and Baker feels awkward because as an historian, he made her have those memories, but he wants to console her as a son? it's really good, but i can't seem to find it :/

nvm. i figured out how to do it :)

well do you know how to do it then? because i was thinking of subbing in two value and solving them simultaneously, but not sure which values to sub in

I just can't seem to see what to do, and it is very frustrating because I know it's relatively easy :P anyway, the question is: "The period of a particle moving in SHM is 6s and its amplitude is 8cm. Calculate its velocity and acceleration (to 1dp) when the displacement is 5cm from the centre...

given a+b+c=1 and a+b+c\geq 3(abc)^{1/3}, prove \frac{1}{a}+\frac{1}{b}+\frac{1}{c}\geq 9 Anyone know how to do this?

i follow ur solution, and it is correct, but i usually do it by assuming true for n=k and then proving true for n=k+1. if u apply ur solution to that scenario, it doesnt work. why is that?

it says that i have proven that {[sin(3x)/2]-[sinx/2]}/2sinx/2 = cosx i then have to prove by induction that cosx+cos2x+cos3x+...cosnx={[sin(2n+1)/2]x/2sinx/2 - 1/2 have any ideas?

do u have access to a computer? then it will come up.

anyone know how?

We have like 3 more lessons to finish off mechanics and then yes

I have just proven that \frac{sin\frac{3x}{2}-sin\frac{x}{2}}{2sin\frac{x}{2}}=cosx The question then asks me to prove by induction that cosx+cos2x+cos3x+...cosnx=\frac{sin\frac{2n+1}{2}x}{2sin\frac{x}{2}}-\frac{1}{2} Can someone please show me how to do this? I keep getting to a certain point...

know how to prove them. if u look in the patel textbook, it has a great explanation, but in general, prove something for a^3+b^3 and then extend it by proving something for b^3 +c^3 etc. it's not too hard

haven't looked at it for a while. i might try it now

please never take down this thread :)

the megaupload paper dont work :(

don't know. that's my problem. the question is literally just sin(2x+1)y. what would u interpret that as?

is sin(2x+1)y the same as sin(2xy+y)?