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Unformatted text preview: EM 201 Test #4 April 20, 2005 Student Number: KGQ 7 Problem #1. (25 pts) A rectangular plate is 3 m high and 5 m wide (normal to the plane of
the ﬁgure) and blocks the end of a tank. The 3 X 5—rn side of the open tank is hinged at its bottom, A, and is held in place by. a thin rod, BC.
The tank is to be ﬁlled with some dense liquid, having a speciﬁc weight _ m ,7*
of (@100 W! :). g, b 5:? If the tank is filled“ to a depth of d= 2. 8 m, 3.) determine the force T In the rod, and 9.350%?» W hat; hid QW):QZ b) the reactions at the hinge. __ ‘ _ ..
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Problem # 2. (25 pts) F rom Groupwork! dimensions: mm Given the equation for the shaded area shown, note that k = E = 32
the dimensions a and b are given and the coefficient, k, is 64 a y y=k(x — a)2
given in terms of a and b. Dimensions: mm r : (b 'Lé] 9‘5”,
(a) Write the integral expression you would use to this the T?
magnitude of the area that is shaded. Write your answer as b _:g """""""""""""
an explicit function of 1;, including limits. _ ' Chg
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Write it as an explicitfnnction of 9:, including limits, but you do not need to carry out the integration. .. 0 m a.
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C) C) .W 3’ 3, _L “b iratea9]  Us“ ﬁsh—RU 5* Q [3.23” EM 201 Test #4 April 20, 2005 Student Number: t £923! Problem # 3. (25 pomts) The compound beam 13 [rmconnected at C, w1th seenons supported by plns at B and a pm at G.
Using the reactions provided, draw the shear and moment diagrams for the beam and loading. Be sure to label the shear and moment m at all critical points (where loading changes).
H 5 points *) Extra credit will be awarded to those who calculate the exact value and location ofthe maximum MomemJ Okip—ﬁ A? A: (zéﬁlukso) 9 8w: =" F41.
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" Problem #4 [25 ptsL A bucket and block B are connected by a cable that passes over a drum.
Knowing that drum A is locked and does not turn, determine the smallest combined weight W (of the bucket and its contents) for which block B will (a) remain at rest
(b) be about to move up the incline, and
(c) continue to move up the incline at a constant speed.
Th fﬁ fh f 5::{W‘m—t0ksl: “DJI; 3:300
e coe cient o t e contact sur aces is _\ _ f B = 400 pounds ,Lts = 0.29 for static friction K150 ‘9’" (PM) ‘ 12' 03"?
,u = 0.23 for kinetic friction. d" a ' v k 9 g L W D
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##— T; ”00 ”[5“ z 27am us EM 201 Test #4 April 20, 2005 Student Number: Problem # Bonus*: (5 points  toward test score, E you qualify) Mﬂ Credit will only be given if you complete the entire test and if the problem is 100% correct.
Bonus points will only be given if this problem is 100% correct. Le. Taking pot shots at it won’t get you
bonus points. The extra points (if any) will be added to your test score. ' If the coefﬁcient of static friction is 0.20 and kinetic friction is 0.15 between the steel wedge and the moist
ﬁbers of the newly cut stump. Determine the maximum angle a which the wedge must have, and not pop out of the wood after being driven by the sledge. a maxim»: ...
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