370_Physics ProblemsTechnical Physics

# 370_Physics ProblemsTechnical Physics - 372 P12.56 Static...

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372 Static Equilibrium and Elasticity P12.56 (a) The height of pin B is 10 0 30 0 5 00 . sin . . m m a f °= . The length of bar BC is then BC = ° = 5 00 45 0 7 07 . sin . . m m. Consider the entire truss: 1000 N B A C 10.0 m n A n C 30.0 ° 45.0 ° FIG. P12.56(a) F n n n y A C A C = + = = − °+ °+ ° = 1 000 0 1 000 10 0 30 0 10 0 30 0 7 07 45 0 0 N N τ b g . cos . . cos . . cos . Which gives n C = 634 N . Then, n n A C = = 1 000 366 N N . (b) Suppose that a bar exerts on a pin a force not along the length of the bar. Then, the pin exerts on the bar a force with a component perpendicular to the bar. The only other force on the bar is the pin force on the other end. For F = 0 , this force must also have a component perpendicular to the bar. Then, the total
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