Difference between revisions of "2002 PMWC Problems"
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== Problem T9 == | == Problem T9 == | ||
− | + | <asy> | |
+ | size(6cm); | ||
+ | pair R = (25,0),U=(0,20); | ||
+ | draw(origin--R--(R+U)--U--cycle); | ||
+ | real radius=2; | ||
+ | pair ccenter=U+(radius,-radius); | ||
+ | draw(circle(ccenter,radius)); | ||
+ | real lift=1; | ||
+ | real space =3; | ||
+ | real shift = 1; | ||
+ | draw(shift((shift,0))*circle(ccenter,radius),linetype("4 4")); | ||
+ | draw(shift((2shift,0))*circle(ccenter,radius),linetype("4 4")); | ||
+ | draw(shift(0,lift)*((U+R/2+(space,0))--(R+U)),EndArrow(HookHead,8)); | ||
+ | draw(shift(0,lift)*((U+R/2-(space,0))--(U)),EndArrow(HookHead,8)); | ||
+ | label("$25\textrm{cm}$",U+R/2,N); | ||
+ | draw(shift(lift,0)*((R+U/2+(0,space))--(R+U)),EndArrow(HookHead,8)); | ||
+ | draw(shift(lift,0)*((R+U/2-(0,space))--(R)),EndArrow(HookHead,8)); | ||
+ | label(rotate(270)*Label("$20\textrm{cm}$",U/2+R,E)); | ||
+ | draw((ccenter+(radius,0))--(ccenter+R-(2radius,0)),EndArrow(HookHead,8)); | ||
+ | draw((ccenter+R-(2radius,0))--(R-(radius,0)+(0,radius)),EndArrow(HookHead,8)); | ||
+ | draw((R-(radius,0)+(0,radius))--(ccenter.x,radius),EndArrow(HookHead,8)); | ||
+ | draw((ccenter.x,radius)--(ccenter.x,U.y-2radius),EndArrow(HookHead,8)); | ||
+ | //Credit to dasobson for the diagram</asy> | ||
[[2002 PMWC Problems/Problem T9|Solution]] | [[2002 PMWC Problems/Problem T9|Solution]] | ||
Latest revision as of 15:07, 23 April 2014
Contents
- 1 Problem I1
- 2 Problem I2
- 3 Problem I3
- 4 Problem I4
- 5 Problem I5
- 6 Problem I6
- 7 Problem I7
- 8 Problem I8
- 9 Problem I9
- 10 Problem I10
- 11 Problem I11
- 12 Problem I12
- 13 Problem I13
- 14 Problem I14
- 15 Problem I15
- 16 Problem T1
- 17 Problem T2
- 18 Problem T3
- 19 Problem T4
- 20 Problem T5
- 21 Problem T6
- 22 Problem T7
- 23 Problem T8
- 24 Problem T9
- 25 Problem T10
Problem I1
Problem I2
Problem I3
Problem I4
Problem I5
Problem I6
Problem I7
Problem I8
Problem I9
Problem I10
Problem I11
Problem I12
Problem I13