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Unformatted text preview: 1. See ﬁgure below. The mass of the suspended weight is 10 kg. (a) Find the reactions at A and B (15 points);
(b) Find the forces in members BD and CD (20). (a) FED _ mmwmm~mmmmmemmmnrw“MA—WWHWWAAAA A AA AA 2. See ﬁgure below for a bolt cutter. (a) Draw free body diagrams for the four parts (separately). (15)
(b) Find the force in member CD (10)
(c) Find the force exerted on the bolt. (15) 90 mm 60 mm 65 mm COMCW 2(6): Use, FBD~Lf
MM
2MB 3 0 7"? éOED C059 T20 FCDBl‘Vngf‘42f00 3 0
> F ~4ZY¢90 1/
1:“ t: :' ~724, / r 2m
CD 60075‘9192955’46 __._________. (com? 2;; )
6r néawz’r; 2) go‘nezoﬂés amt €0><9=0~645 2w: W ZMAZO ‘ZY
’3 .. ‘70 P “A3009“? —. 4050 96m? 2 o ‘> 051059 4— 4056.49 1:
CD 70
: 37S A/ / 3. See ﬁgure below for an area with a half circle on a rectangle. The radius of the half circle, a =
10 cm, and the base and height of the rectangle are: b = 10 cm and h = 20 cm. i
g
3,
i
i
i
l‘
l
g
E
i
l
i
l
5 (a) Find the location of the centroid of the ‘ y
area. (10) (b) Find the second moment of the area about
the y—axis. (5) (c) Find the second moment of the area about
the xaxis. (10) Hint: for an area of circular sector (shown
below), the centroid and area moments are listed in a table (Table D/3) as follows:
® _ 2 Rsinﬂ
x = —
3 6
4
Ix = R—[Q — lsin26’]
y @ 2
® I 4 4
=£(6+ lsin26].
4 2 a? zaq
_. __._,. IL   Cf
ZXI‘ ” ‘33—“ g “i“ 0) X
{—777 ﬂue, Pamtﬁz( MC; {/heo‘rem ; [ 989’ ﬂocgura>
1X1” :jxl/ “A1011: ([04— OWL 4—q where, ol~—~:Z{—\Z¢Cm_0md A,:l§70m S'ﬁ Coy/OHM ...
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 Spring '07
 Rodin

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