Lab6.doc - Lab 6 Static Equilibrium This is a hands-on activity lab to get a better understanding of the static equilibrium condition r Static

Lab6.doc - Lab 6 Static Equilibrium This is a hands-on...

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Lab 6: Static EquilibriumThis is a hands-on activity lab to get a better understanding of the static equilibrium condition.Static Equilibrium Condition : net r F = 0 & net r τ = 0Example:Suppose you want to hang a sign (M) on a beam (m). The beam is attached to the wall with a hinge and supported by a cable, see figure below. You want to find out what is the tension (T) in the cable and the force acting on the beam by the hinge (r F =Fxˆ i +Fyˆ j ) (so that you can buy the appropriate materials).hingeMTdBeammass=mlength =LFyFxθFirst you need to know the mass of the beam and the mass of the sign.SupposeM=100 kg and m=30kg.Next you need to know the length of the beam, the location of the sign, and the angle θSupposeL=4 m, d=3 m, and θ=30oSince the forces of interest are acting on the beam, we draw the free-body diagram for thebeam and apply the equations for static equilibrium condition.1
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FyFxTsin30oTcos30oMg=980N~220 lbmg=294N~ 66 lbsFree body diagram for the beamOxyz2m3m
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