It wasn't too bad lol the good thing about doingg the adv is it can scale very well. I have friends that did it last year getting about 50% in the exam, and that scaling to a final of 90/100. I think i went a bit better than that but it might have been an easier exam, i guess well find out soon
HSC physics is COMPLETELY different than University physics. I cannot emphasis this enough. Alot more mathematical. I had my end of semester adv physics exam yesterday lol
Yeah true... haven't thought auxillary in ages. I do alot of SHM in physics these days... I view it heaps diff than i did at school. You're right though.
x=asin nt + b cos nt
dx/dt=nacos(nt)-bnsin(nt)
d^2x/dt^2=-n^2asin(nt)-n^2bcos(nt)
=-n^2[asin(nt)+bcos(nt)]
=-n^2x as requires
B) Hint: Velocity = 0 at maximum displacement & T=time for one oscillation
ie. Time from a max displacement to another max displacement
So that makes...
A Marble of mass M and radius r rolls down a track of height h and around a loop-the-loop. Loop- the-loop has radius R. What minimum height h must the track have for the marble to make it around the loop the loop without falling off?
1) y''+y=cotx
2) y''+y=cosecx
Can someone talk me through the solutions, only new to the method.
Cheers
PS: So it's based on finding: y(x)=yc+yp where yc is the complimentary solution and yp is the particular. This falls under 2 order non-homogenuous differential equations.
Wait what? Explain what your saying.
lim (x-->0) (sinx)/x = 1. So you try and get it into a fraction of this so that you can use this property.
This can be proved by L' Hopitals Rule:
lim (x-->0) (sinx)/x Since function is currently indeterminable (0/0) & noting x=/=0
lim(x-->0)...
-512sin(t)e^-sqrt(3)t I believe ( the 'i' wasn't supposed to be in it). It's definitely sin(t) not cos(t) since it's the Imaginary component of the derivative, cos(t) is the real.
Just checking if my answer is correct:
Q. Use complex exponential to find the 9th derivative of sint/(e^rt3t). Simpliest form
S. Im(e^it).e^-rt3t
Im{d^9/dt^9[e^(i-rt3)t]}
Im[(i-rt3)^9e^-rt3t cos(t)+i(i-rt3)^9e^-rt3.sint]
Im[2^9e^i(45pi/6)e^-rt3cost...
3 x 6 reps (6RM obvsiouly) is optimum for muscle strength. 2 mins rest or even more between sets. Look through any body builders book for confirmation.
Dude, Bench took me alot longer aswell, just slowly add weight ie. 1.25kg or 2.5kg each side prehaps, each week.
My Bench is lagging...