Statics

Mech $234$

Module$\_3$: Vector Product, Moment of a Force about a Point $($Figur$.$ M$-3-$ A thin plate OABC sits in the xy plane. Cable BD pulls with a tension of $2$ kN $.$ Find the moment caused by the cable tension force acting at B around point O $.$ Also, determine the shortest distance from point O to cable BD$.$

Module$\_4$: Couple and Force$-$Couple Systems $($Figure M$-4)-$ Two couples act on a rectangle with a base of $10$ ft and a height of $5$ ft $.$ Determine the magnitude and direction of the resultant moment, knowing that $=70,P=90-$lbs and $Q=25-$lbs$.$ Also, can these be replaced by a single resultant force? If so$,$ show location along edge AB measured from A $.$ Be clear in your answer.

Module$\_5$: Equilibrium of Rigid Bodies & Special Cases $($Figure M$-5)-$ Control arm AB is subjected to a counterclockwise moment $M$ and held in position by cable $AC.$ Knowing that the tension in the cable is $16$lbs $,$ determine the magnitude of the moment M$.$ Also, find magnitude and direction of the reaction at pin B$.$

Module$\_6$: Analysis of Structures: Trusses $($Figure M$-6)-$ The truss shown supports three loads, A$=500lbs,B=300-lbs,$ and $C=500-lbs.$ Use the method of joints to find the forces in all members. Indicate tension or compression. Also, find reactions at pin supports E & D$.$