hw3sol - PROBLEM 3.2 A 90-N force is applied to the control...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PROBLEM 3.2 A 90-N force is applied to the control rod AB as showu. Knowing that the length of the rod is 225 mm, determine the moment of the force about point B by resolving the force into horizontal and vettical components. SOLUTION R I; = (90 N)cos25° 15° _ \F qu —81.568N -Y y CHEM Fy = (90 N)sin25° \ 95‘, = 38.036 N I x x = (0.225 m)cos65° = 0.095089 m y = (0.225 m)sin65° = 0.20392 m MBsz)_ijr : (0.095089 m)(38.036 N) — (0.20392 m)(81.568 N) = 43.0165 N-m MB = 13.02 N-m) 4 “W I: PROBLEM 3.9 A winch puller AB is used to straighten a fence post. Knowing that the tension in cable BC is 260 1b, length a is 8 in., length b is 35 in., and length d is 76 in., determine the moment about D of the force exerted by the cable at C by resolving that force into horizontal and vertical components applied (a) at point C, (b) at point E. SOLUTION TA“ C (a) Slope of line EC = 2 i T —260|b l 761n.+81n. 12 AE“ / w TAB), / , ii 35 m. E N If D Jr Then T ABX = %(TAB) em, 0’) = 2(2601b) = 2401b 13 5 and TM = E(2601b) = 100 lb Then MD 2 Tm (35 in.) u TAB), (8 ins) = (240 1b)(35 in.) — (100 1b)(8 in.) = 76001b-in. or MD = 76001b-in.)4 MD = TABx (y) + TABy (x) = (240 1b)(0) + (100 1b)(76 in.) = 7600 lb - in. or MD = 76001brin.) 4 PROBLEM 3.12 It is known that the connecting rod AB exerts on the crank BC a 2.5-kN force directed down and to the left along the centerline of AB. Determine I the moment of that force about C. 56 mm with dAB = (42 mm)2 + (144 mm)2 =150 mm ‘Wmm 42 mm sinH 2 150 mm 59mm COS6=l44mm 150 mm and FAB = —FAB Sinai “" FAB COSBj __ 2.5 kN 150 mm [(—42 mm)i n (144 mm)j] = —(700 N)i — (2400 N) j Also rB/C = w(0.042 m)i + (0.056 m) j NOW 2 ram X FAB (—0.042i + 0.056 j) x (—700i — 2400 j)N-m (140.0 N-m)k or MC = 140.0 Nim ‘) 4 |—_—__H—~_—_—____— PROBLEM 3.45 The rectangular platform is hinged at A and B and is supported by a cable that passes over a frictionless hook at E. Knowing that the tension in the cable is 1349 N, determine the moment about each of the coordinate axes of the force exerted by the cable at C. Have rC : (2.25 m)k CE = T .— TCE Cb CE )[(0.90 m)i + (1.50 m) j — (2.25 m)k] (0.90) +(1.50) +(—2.25) m = (426 N)i + (710 N)j — (1065 N)k NOW M0 2 TC X TCE i j k m 0 0 2.25 N-m 426 710 —1065 = — (1597.5 N-m)i + (958.5 N.m)j '. Mx : -—1598 N-rn, M, = 959 N-m, M2 = 0 4 ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern