Updated 2026: Chapter 2 Statics & Force Vectors Test Bank – Verified Solutions & Step-by-Step Problems

CHAPTER 2 au




Copyright au© auMcGraw-Hill auEducation. auPermission aurequired aufor aureproduction
auor audisplay.

, PROBLEM au2.
1
Two a u forces a u are a u applied a u as a u shown a u to a u a a u hook. a u Determine
a u graphically a u the aumagnitude au and au direction au of au their au resultant au using au (a)

au the au parallelogram au law,

(b) authe autriangle aurule.



SOLUTION

(a) Parallelogram
law:




(b) Triangle aurule:




We R au=au1391 aukN, a u au  au= R au=au1391
measure: 47.8 N




Page au1 auof au164

, PROBLEM au2.
2
Two auforces auare auapplied auas aushown auto aua aubracket ausupport.
auDetermine augraphically a u the a u magnitude a u and a u direction a u of

a u their a u resultant a u using

(a) authe auparallelogram aulaw, au(b) authe autriangle aurule.




SOLUTION


(a) Parallelogram
law:




(b) Triangle aurule:




We R a u = au906 aulb,  au= R au= au906
measure: 26.6 lb




Page au2 auof au164

, PROBLEM au2.
3
Two austructural aumembers auB auand auC auare aubolted auto aubracket auA.
auKnowing authat auboth aumembers auare auin autension auand authat auP au= au10 aukN

auand auQ au= au15 aukN, audetermine augraphically authe aumagnitude auand

audirection auof authe auresultant auforce auexerted auon authe aubracket auusing au(a)

authe auparallelogram aulaw, au(b) authe autriangle aurule.




SOLUTION

(a) Parallelogram
law:




(b) Triangle
rule:




We R au = au 20.1 aukN,  a u = R au= au20.1
measure: 21.2 kN




Page au3 auof au164