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**Unformatted text preview: **TEST#b NAME: 30LA10mg Knowledge- - ----- Application = ---- Thinking = 7- Communication = ------
M "l - TU ‘ 2/-
Knowledge
1. For the vectors shown on the diagram, write if in terms of
(a) {MT/,cjf
3 b 12%,"
[ 1 ($133.37;
(c) v a? ma /
v V ND.— V ”>‘W ~§
Uv‘ “‘33 “‘ 9/ ? ~ v
2 Express each as a Single vector
(a) E— FE;- FE:)E;DC\_3 (b) TM— 313— Tx+ﬁ- LM 9
1§E+EF mammals :mwﬁwﬂcwﬂa
a- a “3 :12 ﬂ -‘3 : ‘7 :B+P&
biAE+RC+C +g-+E «XLﬁ- LH+1L+ 32
: §E¥ﬁ33+DV+EF =XM4~HB>+~L +P
‘3 F - , ‘ _. @CQ «w \
“i “Dirt-357*?“ __~“ ”X_."%L‘P- ' /
3¢§ﬁEtEE ~14? / ;M>+.? ; X 3. Forces of 15M and HM act on a point 125° to each other. Find the direction and
magnitude of the resultant and eguilibrant. _ _0
A ((5) co; 3’5 _ ﬂaunt-Hurrah
[51 N \-?l:\;,;,\). / gW-MDWF ii' 5' ‘1’!le 8579/ sxve'181355?’ ' +0 lyUW
l ' c t
.\|« h
9: 45° ‘/ N 13/6va If the wind Is from the east at 91 km/h and a plane IS steering southwest at an airspeed of 340 I
km/h. Find the velocity of the plane. \gil’. (sue) 90m ~°LLMOBCQD cos :5} Vi) )vWﬂ/kN/K. Hoq'HKmHV O
Sin9-gimsr [ASH-OWSH'W
cll - Ami-Hp/ \ [W
a ' V3/--0 ' '
egmw ,. ﬁofmmuﬂ/ Application 1. An object is being towed by two ropes. The direction of force of the ropes are N20°W
and N30°E. If the resultant force is 1000M due north, find the magnitude of the ts: .§ions of each rope. _ an 2.0
'9 Simso ”3%” ’ l:\ ,/
1. i000 ll” ‘f/
2- ” /
a ”“0“ m: wwu
\E /
Ti / YEA/z uh! 5 ’5 M ’ [5] 2. A 1000kg car stops on a 30° ramp and has no brakes. (a) What is the tension in a cable parallel to the ramp that is tied to the car to prevent it
from moving? (b) What is the component of the force of gravity perpendicular to the ramp? 5 a, “35)“ /Cog 5001 E;
Show I 800 078a: [41 \QA ,, We w/ \Fgﬂzca )9, 37 M J) 3. A plane is steering east with an airspeed of 334km/h. From the ground,
a a? measurements show that the plane is travelling N40°E at a speed of 324 km/h. Find
the wind velocity. State wind from a direction! L53 2—3395LVM/L1 r63]: SgL‘L _\, 3‘9”” L.9’L(33Lf){g-LCI)LOSS’O
[$7 :EmM LAM
\tBi : 61713.9. bin.}k._ / Slug _ at“ 70
hi4 ’ mm chx ‘3 out 1 W/lx 9:€a,:s~~l°f/ W 33°37 E [5] ”lo—V54"
HM“ / 1’, \ 000 W, A f
Thinking [a ﬂ>
\. A plane with an airspeed of lOOOkm/h wishes to ﬂy to a cityw 2000km away which 18 at a bearing of N40°W relative to its present position. There is a wind blowing from N25°E at a speed of IOOkm/h.
(a) In what direction should the plane head?- (b) What IS the ground speed of the plane? (c) How long will the trip take? ﬁg; W; 531L9— ® lgl: loo —H000 -Q[lo®(looa) |ooo loo’ / C055‘75
1/ 9:84? / -qgggwwwﬂw
a o—Seﬁqﬁt QVOJAASGLEDK “‘53 6W“ Communication
1. Given a regular hexagon ABCDEF.
(a) state which vector equals to E
(b) state which vector equals to 34—11: (C) prove that AB + AC + AD + AE + AF— 3AD A QJSEZEB 1/ 9L5: RB 2+HE+AB§EF§E€T$.V ——’D “1/ _ EQWAQ‘VHE *5 ”7 5 {W 2 CD ;[email protected]:¥:ﬁ [a] - '2 (:13 +9733 ”PM /
~, 359?? L’ 8: (LS, ...

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