%PDF-1.4 % 1 0 obj << /Type /Catalog /Version /1.7 /Pages 2 0 R /Metadata 3 0 R /StructTreeRoot 4 0 R /MarkInfo 5 0 R /Lang (en) /ViewerPreferences 6 0 R >> endobj 7 0 obj << /CreationDate (D:20260424143444Z) /ModDate (D:20260424143611Z) /Producer /Creator >> endobj 2 0 obj << /Type /Pages /Kids [8 0 R 9 0 R] /Count 2 >> endobj 3 0 obj << /Length 4125 /Subtype /XML /Type /Metadata >> stream pypdf uuid:0af47422-bf71-11b2-0a00-4626ad395a14 uuid:0af4a87a-bf71-11b2-0a00-ba581b3dabd7 fullyTagged 2026-04-24T14:34:44+00:00 pdfMakeAccessible (Linux) version=1.1383.0, ma=1.1184.0, hinter=1.137.0, pageSegmentation=55, tableStructure=5 Downgraded 2026-04-24T14:34:44+00:00 pdfDowngradeTool (Linux) version 1.7 uuid:0af47423-bf71-11b2-0a00-c0cc523fa764 2026-04-24T14:34:44Z 2026-04-24T14:34:44Z 2026-04-24T14:34:44Z application/pdf endstream endobj 4 0 obj << /Type /StructTreeRoot /ParentTree 10 0 R /ParentTreeNextKey 2 /K [11 0 R] /RoleMap 12 0 R /IDTree 13 0 R >> endobj 5 0 obj << /Marked true /Suspects false >> endobj 6 0 obj << /DisplayDocTitle true >> endobj 8 0 obj << /Contents 14 0 R /CropBox [0.0 0.0 612.0 792.0] /Group 15 0 R /MediaBox [0.0 0.0 612.0 792.0] /Parent 2 0 R /Resources 16 0 R /Rotate 0 /StructParents 0 /Tabs /S /Type /Page /Annots [] >> endobj 9 0 obj << /Contents 17 0 R /CropBox [0.0 0.0 612.0 792.0] /Group 18 0 R /MediaBox [0.0 0.0 612.0 792.0] /Parent 2 0 R /Resources 19 0 R /Rotate 0 /StructParents 1 /Tabs /S /Type /Page /Annots [] >> endobj 10 0 obj << /Limits [0 1] /Nums [0 [null null null null 20 0 R 21 0 R 22 0 R 23 0 R 24 0 R 25 0 R] 1 [null null null null 26 0 R 27 0 R 28 0 R] ] >> endobj 11 0 obj << /ADBE_FT 29 0 R /ID (AD260322-2208-1184-ADBE-000000000355) /K 30 0 R /P 4 0 R /S /Document >> endobj 12 0 obj << /ParagraphSpan /Span >> endobj 13 0 obj << /Names [(AD260322-2208-1184-ADBE-000000000321) 31 0 R (AD260322-2208-1184-ADBE-000000000322) 20 0 R (AD260322-2208-1184-ADBE-000000000324) 32 0 R (AD260322-2208-1184-ADBE-000000000326) 22 0 R (AD260322-2208-1184-ADBE-000000000328) 33 0 R (AD260322-2208-1184-ADBE-000000000329) 23 0 R (AD260322-2208-1184-ADBE-000000000331) 34 0 R (AD260322-2208-1184-ADBE-000000000333) 25 0 R (AD260322-2208-1184-ADBE-000000000344) 35 0 R (AD260322-2208-1184-ADBE-000000000345) 26 0 R (AD260322-2208-1184-ADBE-000000000347) 27 0 R (AD260322-2208-1184-ADBE-000000000349) 28 0 R (AD260322-2208-1184-ADBE-000000000351) 21 0 R (AD260322-2208-1184-ADBE-000000000352) 36 0 R (AD260322-2208-1184-ADBE-000000000353) 24 0 R (AD260322-2208-1184-ADBE-000000000354) 30 0 R (AD260322-2208-1184-ADBE-000000000355) 11 0 R] >> endobj 14 0 obj << /Length 923 /Filter /FlateDecode >> stream HV]oJ}W#\eY>-*>ݲɱ6q?ڲ̞3첵"+8;3/'ݬ%8Dz}{2-},ڱڬ׻!.ё;ۜNǧ0Զ-p<`6f^b(**2++q;t|Nfj qxO;F@|=!뤙ovEXw%DbPLri`f(\uLY@% pi;O #S= enڲq,Զ6!'ՀXtԐ{€qcE% !׶GzA/ޱ GBw'QM(?jV=C2R[z|%%jGhڨ,5ȺF#>CvF/' EHg|2~KcX?Vrej $G*7*k 8q"D{%^w"Fy^pw^<3n:o9͞tL{堩[9P7ds7JuQX- F(ہ6m!& XleR$$RW%}6{?Weyʝ") U@\37P70mvg)Fsx|" ({c4 [m endstream endobj 15 0 obj << /CS /DeviceRGB /S /Transparency /Type /Group >> endobj 16 0 obj << /ExtGState 37 0 R /Font 38 0 R /ProcSet [/PDF /Text /ImageC] /XObject << /Im0 39 0 R /Im1 40 0 R >> >> endobj 17 0 obj << /Length 699 /Filter /FlateDecode >> stream HU[O0~8ɤ:"JM N0"P)n$%Iź_cv0*v-VjI6ptdEQFu݀dIXWFo~XV`&Igr #+.7F>{€gsC$ן QSb^P+Op7N>~Pl/5vh9"I✌9\՝`3)0o/8&C$b-.^W JߢQn4l33*mh>U=Q8$Po7aN$7;6; H^B* E#11z ~,|At[F4yusM0qdÞqi4.`pJM߁)LcdN.9/{o**?-1*9jAkT7 |`d^.F!r_XrUCVCjbˢ2i h%$8T:%\̳Wg^x(Inf> endobj 19 0 obj << /ExtGState 41 0 R /Font 42 0 R /ProcSet [/PDF /Text /ImageC] /XObject << /Im0 43 0 R >> >> endobj 20 0 obj << /C /adbe_text_0002 /ID (AD260322-2208-1184-ADBE-000000000322) /K 4 /P 31 0 R /Pg 8 0 R /S /Lbl >> endobj 21 0 obj << /ID (AD260322-2208-1184-ADBE-000000000351) /K 5 /P 32 0 R /Pg 8 0 R /S /ParagraphSpan >> endobj 22 0 obj << /A 44 0 R /C /adbe_style_0001 /ID (AD260322-2208-1184-ADBE-000000000326) /K 6 /P 32 0 R /Pg 8 0 R /S /Figure /Alt (Diagram of a beam labeled A to D with a pin at C and a rocker at B. The beam is subjected to a vertical load of 7 kN at A and a uniform distributed load of 1 kN per meter from C to D. Dimensions are given as 3 meters between A and B, 3 meters between B and C, and 4 meters between C and D.) /Contents (Diagram of a beam labeled A to D with a pin at C and a rocker at B. The beam is subjected to a vertical load of 7 kN at A and a uniform distributed load of 1 kN per meter from C to D. Dimensions are given as 3 meters between A and B, 3 meters between B and C, and 4 meters between C and D.) >> endobj 23 0 obj << /C /adbe_text_0002 /ID (AD260322-2208-1184-ADBE-000000000329) /K 7 /P 33 0 R /Pg 8 0 R /S /Lbl >> endobj 24 0 obj << /ID (AD260322-2208-1184-ADBE-000000000353) /K 8 /P 34 0 R /Pg 8 0 R /S /ParagraphSpan >> endobj 25 0 obj << /A 45 0 R /C /adbe_style_0001 /ID (AD260322-2208-1184-ADBE-000000000333) /K 9 /P 34 0 R /Pg 8 0 R /S /Figure /Alt (Diagram of a beam AB with a pulley at point C. The beam is 6 feet long. A force F is applied downward at point C. Point A is fixed, and point B is supported by a roller. A cable BC connects point C to a box below, which weighs 50 lb.) /Contents (Diagram of a beam AB with a pulley at point C. The beam is 6 feet long. A force F is applied downward at point C. Point A is fixed, and point B is supported by a roller. 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