Haha, I know that feeling. Come visit us in the Maths forum with questions you have! General tips off the top of my head
Circular motion:
1) Horizontal: Resolve vertically - the acceleration will always be 0 so F = ma = 0. Resolve horizontally: acceleration is rw^2 or v^2/r.
2) Vertical:
RESOLVE GOING TOWARDS THE CENTRE OF THE CIRCLE. CENTRE OF THE CIRCLE. CEEEEEEEEENNNNNNTTTTTTTRRRRRREEEEEEEEEE OFFFFFFFFFF TTTTTTTTHEEEEEEEEEEEEEE CCCCCCCCCCIIIIIIIIRRRRRRCCCCCCCCCLEEEEEEEE. Otherwise, all the maths will fall apart. Going towards the centre of the circle, a = rw^2 or v^2/r.
Literally every question will require you to use energies. Just remember that energy at the start = energy at the end. In general, this'll just be
Energy at start = 0.5mu^2 (KE at start)
Energy at end = 0.5mv^2 + mgh (final KE + PE gained)
To work out h, use Pythagoras. It's usually like r - rcos(theta).
So 0.5mu^2 = 0.5mv^2 + mgh (nrg at start = nrg at end) (don't you just love that abbreviation? nrg = energy)
Kinematics:
Almost every question just requires F = ma = mvdv/dx
Strings/springs:
To prove S.H.M., use F = ma and remember to let x = the displacement and x double dot be the acceleration AND MAKE IT GO IN THE DIRECTION OF INCREASE x OR YOU WON'T GET THE NEGATIVE SIGN IN S.H.M.
The rest of the questions are again just energy questions, remembering that you have GPE + KE + EPE + Work Done.
Centres of mass:
Just write down every shape's volume/area. The total shape will then just have all of the other shape's area + volume. Then below it write down where the individual parts of the shape have their centres of mass. Multiply them together and you'll get like
5A + 2A = 3Ay (y bar)
Can't think of much else to say
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