Quiz 6

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The City College of New York, CUNY *

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Mechanical Engineering

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Nov 24, 2024

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pdf

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QUIZ_6, SEPTEMBER 18, 2023 Page: NAME:_____________________________ ID N UMBER:_____________ ME 246 STATICS, CC N Y, FALL 2023 Dept:______________ CCNY PAGE: 1 1 THE NUMBER USED. CLASS ID NUMBER. LAST DIGIT YOUR CLASS ID, IF IT IS 0; T AKE 5. DUE IS SEP. 25 2023 1) Rod AD is acted upon by a vertical force P at end A and by two equal and opposite horizontal forces of magnitude Q at points B and C . Neglecting the weight of the rod, express the angle θ corresponding to the equilibrium position in terms of P and Q . 2) Two ropes attached at A and B are used to move the trunk of a fallen tree. Replace the forces exerted by the ropes with an equivalent wrench and determine ( a ) the resultant force R , ( b ) the pitch of the wrench, ( c ) the point where the axis of the wrench intersects the yz - plane. Q= 50 Newton P = 80 Newton 02 Yumna Ahmed 02 ME I Qacosotp3asino 41 T Qzaroso p 3asino Qa 0 tano O tan E tan 254 8 11.76800 bit 25 9 I ji IET 2 1235 11 1650710.5451 0.1825 0.8101 899.257 300.35 1349 It BT D B 23,215 1910,0 Fac 1650N 147 25 51 FB D 150014 IBD 2 12,2 5 15 Pointa co 0,12 unit vector BIf 141 31 512 0.9331 0.1335 0.3331 Point B 910,03 Point 612,21 02992in Fan F unit vector 1500310.9331 0.1335 0.33312 1399.57 199.55 499.51 0 t RefactFB 899.251 30035 13 in az ztyagtc87 1399.57 199.55 499.52 R 2298.757 499.85 1849
QUIZ_6, SEPTEMBER 18, 2023 Page: NAME:_____________________________ ID N UMBER:_____________ ME 246 STATICS, CC N Y, FALL 2023 Dept:______________ CCNY PAGE: 2 2 THE NUMBER USED. CLASS ID NUMBER. LAST DIGIT YOUR CLASS ID, IF IT IS 0; T AKE 5. DUE IS SEP. 25 2023 3) A machine component is subjected to the forces and couples shown. The component is to be held in place by a single rivet that can resist a force but not a couple. For P = 0, determine the location of the rivet hole if it is to be located ( a ) on line FG , ( b ) on line GH . 02 on Yumna Ahmed 02 ME OA 010,12 b Pitch of Rench OB 910,0 Mo JA X FAC COB XFBD L 2k x 899.25 300.3 1349 7 197 13997199 499.5 3603.67 107915 4495.55 1795.51 3603.67 62965 1795 5k pitch Rfd 2298.757 499.85 1849.21 C 3603.61 62965 17955k 2992.2512 0.201mL HorizontatDirection so EFF Rx 200 costs 120 cos otp ax direction 193.185 41.042 0 152.143 H F oosinis 1205in o 804g direction 51.703 112 o 80 so Moment equilibriumequation about o 90 a 2.588 19.289 21.424 0.130 47.2 82 55.544 0.130 Mo 55.544H m a a distance fromoonlinefownererislocated Me ax Rx o ss.tsuua.mn s2 iu3H 55suutacisz142 0a o36s location of rivetnoleon Few respect too b b distance fromcontinent where rislocated ss.sn Em III sun 55 sun be 244.5235 0 bo.az alocationofrivetholeonoitwirespecttoo
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