x - Balliol College - University of Oxford
x - Balliol College - University of Oxford
x - Balliol College - University of Oxford
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SJ Roberts - July 2011 Revision 1/ page 14<br />
41.<br />
1<br />
1<br />
.<br />
1 2<br />
3<br />
3<br />
x<br />
, y , z x<br />
, y , z <br />
x<br />
, y , z 2<br />
x x ,<br />
2y<br />
y ,<br />
z z <br />
2<br />
1 1 1<br />
2 2 2 1 1 1<br />
1 2 1 2<br />
42. Total force is i j<br />
Thus<br />
dx<br />
dt<br />
d x d y<br />
3 so for unit mass, 3 ; 1<br />
2<br />
2<br />
dt dt<br />
dy<br />
3 t a ; t<br />
b (where a b 0 , as mass is<br />
dt<br />
stationary at t 0 ).<br />
and<br />
x 3t<br />
2 / 2 c ; y t<br />
/ 2 d<br />
position).<br />
2<br />
So, r 3<br />
t / 2 1 i <br />
t / 2 2 j<br />
t .<br />
2<br />
2<br />
2<br />
(where c 1, d 2 from initial<br />
2
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