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M4 tomorrow...help! watch

1. is anyone doing M4? i am stragling about it..can anyone kindly tell me what is the important thing to revise for?
thank you so much;....
2. 1) Relative motion, just remember

aVb = Va - Vb (for velocities, and the same for displacement etc)

2) Collisions, just remember to split into parallel and perpendicular to the lines of the centres between the two colliding objects. Then draw before and after lines.
EG (to give you some idea, of course substitue in the correct values/trig functions)

uCos(-)
^
|
|
|_____> uSin(-)
before

uCos(-)
^
|
|
|_____> uSin(-) X e
after

Then do Conservation of linear momentum and the law of restitution on the line that is parallel to the line of centres (drawn horizontally above).

3) Need to revise that myself, so will get back to you on that.

4) Important, revise 2nd order differential equations with particular integrals (P4) for damped and forced harmonic oscillations. Also have some idea of what the graphs of the different solutions look like! As well as the graph touching the maximum/minimum points for light damping (exponential decay).

5) Take a look at stability, these are a fairly simple idea, but the results can be quite complex.
3. (Original post by Valen)
As well as the graph touching the maximum/minimum points for light damping (exponential decay).
The maximum and minimum points won't be touching the exponential decay curve, because the damped curve is a tangent to the decay curve so the gradient where they touch won't be zero.

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Updated: June 30, 2004
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