Unit 6 Test Solutions

# Unit 6 Test Solutions - TEST#b NAME 30LA10mg Knowledge...

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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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