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Unformatted text preview: MATSE 290 Spring semester 1997 . Quiz No.1 Name .................................... .. Q1 The uniform bar B weighs 1000 N and is
in equilibrium in the horizontal position as shown
on the right. (a) Draw the freebody diagrams
(FBD) for the bar B and for the pulley at the roof
showing all forces on them and write down the
equilibrium equations for each. (15 pts) (b) Find
the tension in the cable, the reactions exerted by
the pin at A onto the bar and the force needed at
the roof to hold the pulley there. (15 pts) (c) If
the location of the pulley at the roof was changed
until it was directly above the center of the beam
how will the forces change? (15 pts) (d) Describe
(without calculations) how you think the forces
will Change as the pulley is gradually moved until
it is directly above the right hand end of the
beam. (5 pts) Q“: iOOCN
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Qﬁm‘m OWCQQQEM/ CtLS vs 39C!) “no Kw»qu ((9753 K38) « m MATSE 290 Spring semester 1997. Quiz No.1 Name .................................... .. Q2. The uniform door weighing lZOON is held
in equilibrium in the horizontal position by the
cable and by the smooth hinges at A and B as a shown on the right. (a) Draw the freebody 
diagrams for the door indicating clearly what
force and moment reactions are needed at hinges
A and B. (15 pts) (b) Without solving them, write
the equations for equilibrium of the door. (10 pts)
(c) If T represents the tension in the cable,
express T as a vector in cartesian coordinates and
use this to calculate the moment about the line of _, ,
the hinges i.e. the line AB, of the weight of the 1.5 door and the tension force in the cable. (10 pts) 7 ' (d) Use this moment to determine the tension in 0:5,"1 / ,
the Cable (15 ms) (6) Describe (without / lm—*—~*/ ; I
calculations) why you think the forces cannot be Lei: C be was «aim w calculated. (5 pts)
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