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HW3_solutions_ Michigan MECHENG 240
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  • Title: HW3_solutions_
  • Type: Notes
  • School: Michigan
  • Course: MECHENG 240
  • Term: Spring

Coursehero >> Michigan >> Michigan >> MECHENG 240
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Additional Note: problem (solving for T ) to 14.86 is 14.85 on 5th edition text book. [solution] Using polar coordinates, Fr = T + f = mar = m r r 2 F = NH = ma = m r + 2r Considering vertical direction (through the paper) for gravity (g) and the normal force (Ng ) Fvert = mg + Ng = mavert = 0 Hence, Ng = mg From given angular acceleration, =6 = 6t = 3t 2 for initial string length r0 = 0.4m, the and radius of the fixed cylinder R = 0.05m, similarly to Problem 14.86, r can be expressed as, r = r0 R = r0 3Rt 2 r = R = 6Rt r = R = 6R for t=1, plugging all numbers into the equation force is, F = ma to get Nh = 2.1 N, and the friction force due to the total normal 2 2 f = k Ntotal = k NH + Ng = 10.03 N Hence, answer for the tension (T) is, T t = 1 = f m r r = 11.306 N

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HW4
Path: Michigan >> MECHENG >> 240 Spring, 2009

Description: Answers in back of book: 15.12: 3.27 m/s 15.30: 15.36: 3.55 m/s 15.66: 5.77 m/s ...
HW4_solutions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ...
HW6_questions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: [ME240 2008W] Homework #6 - Problem Set (Due : 2/22 Fri) Chap. 16 - 78, 81 Chap. 17 - 3, 18, 27, 30 NOTE: Problem 16.80 is given for your reference [Answers for even number problems from the text book (5th edition)] 16.78 v_A=-5.71i+4j+8k (m/s) v_...
HW6_solutions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ...
HW7_questions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: Ans from back of book: 17.78: BC=5.33 rad/sec counterclockwise CD=4.57 rad/sec clockwise 17.98: AB=19.0 rad/sec^2 ...
HW7_solutions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ...
HW8_questions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: Answer in back of book: ...
HW9_questions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: [ME240 2008W] Homework #9 - Problem Set (Due : 3/21 Fri) Chap. 18 - 38, 40, 45, 48, 65, 125 [Answers for even number problems from the text book (5th edition)] 18.38 (a) 14.8 rad/s^2 clockwise (b) 0.227 18.40 Velocity = 3.81 ft/s, time=1.97s 18.48 ...
HW9_solutions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ...
HW10_questions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: Answers from back of book: 19.14: 3.33 rad/s 19.38: 2.57 rad/s counterclockwise 19.62: 1.46 m/s ...
HW11_questions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: Homework #11 Due Friday, April 4 Solutions from back: 19.72 1.27 kN 21.8 L=0.203 m 21.22 answer not given ...
HW11_solutions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ...
HW12_questions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: [ME240 2008W] Homework #9 - Problem Set (Due : 4/14 Mon) Chap. 21 - 39, 44, 51, 61, 63, 70 [Answers for even number problems from the text book (5th edition)] 21.44 (a) t_d=2.32s , f_d=0.431 Hz (b) 5.28s 21.70 16.5 in ...
HW12_solutions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ...
HW_5_problems
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: Answers to problems in back of book: 15.134 (a) 27.9 degrees (b) 159 lb (c) 222 lb 16.62 A: 228 ft/s2 (7.09 gs) B: 155 ft/s2 (4.81 gs) ...
HW_5_solutions
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ...
HW_8_answers
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ...
ME240_CA1_W08
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ME 240: Introduction to Dynamics and Vibrations Mechanical Engineering Department The University of Michigan Winter 2008 Computer Assignment #1 January 25, 2007 (Due 2/8/2007 Friday) Consider a mass m sliding on a frictionless circular ring subject t...
ME240_CA1_W08_Example
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ME 240: Introduction to Dynamics and Vibrations Mechanical Engineering Department The University of Michigan Computer Assignment #1 Supplemental Document Originally prepared by Akira Saito and modied here by Todd Lillian 1 Introduction In this doc...
ME240_CA1_W08_Solution
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ME 240: Introduction to Dynamics and Vibrations Mechanical Engineering Department The University of Michigan Winter 2008 Computer Assignment #1 Solution February 8, 2007 Prepared by Joosup Lim (jooslim@umich.edu) (i) Free body diagram is shown in Fi...
ME240_CA2_W08
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ME 240: Introduction to Dynamics and Vibrations Mechanical Engineering Department The University of Michigan Computer Assignment #2 Assigned: 14 March 2008. Due: 28 March 2008 Introduction Dr. Perkins and his students have developed a 6 degree of fr...
ME240_CA2_W08_Solution
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ME 240: Introduction to Dynamics and Vibrations Mechanical Engineering Department The University of Michigan Computer Assignment #2 Solution Assigned: 14 March 2008. Due: 28 March 2008 Introduction Dr. Perkins and his students have developed a 6 deg...
HW10_solutions_
Path: Michigan >> MECHENG >> 240 Spring, 2009
Description: ...
14_15
Path: UF >> EGM >> 3520 Spring, 2009
Description: 14-17 Copolymers 14.15 This problem asks for sketches of the repeat unit structures for several alternating copolymers. (a) For poly(ethylene-propylene) (b) For poly(butadiene-styrene) (c) For poly(isobutylene-isoprene) Excerpts from this work ma...
4_103
Path: UF >> EGM >> 3520 Spring, 2009
Description: ...
5_9
Path: UF >> EGM >> 3520 Spring, 2009
Description: ...
6_33
Path: UF >> EGM >> 3520 Spring, 2009
Description: ...
14_3
Path: UF >> EGM >> 3520 Spring, 2009
Description: 14-3 14.3 We are asked to compute the degree of polymerization for polystyrene, given that the numberaverage molecular weight is 500,000 g/mol. The repeat unit molecular weight of polystyrene is just m = 8(AC) + 8(AH) = (8)(12.01 g/mol) + (8)(1.008...
14_13
Path: UF >> EGM >> 3520 Spring, 2009
Description: 14-15 Thermoplastic and Thermosetting Polymers 14.13 This question asks for comparisons of thermoplastic and thermosetting polymers. (a) Thermoplastic polymers soften when heated and harden when cooled, whereas thermosetting polymers, harden upon he...
15_11
Path: UF >> EGM >> 3520 Spring, 2009
Description: 15-11 Factors That Influence the Mechanical Properties of Semicrystalline Polymers Deformation of Elastomers 15.11 (a) The tensile modulus is not directly influenced by a polymer\'s molecular weight. (b) Tensile modulus increases with increasing degr...
15_14
Path: UF >> EGM >> 3520 Spring, 2009
Description: 15-14 15.14 This problem gives us the tensile strengths and associated number-average molecular weights for two poly(methyl methacrylate) materials and then asks that we estimate the tensile strength for M n = 40,000 g/mol. Equation 15.3 cites the d...
15_31
Path: UF >> EGM >> 3520 Spring, 2009
Description: 15-34 15.31 (a) Yes, it is possible to determine which polymer has the higher melting temperature. The linear polyethylene will most likely have a higher percent crystallinity, and, therefore, a higher melting temperature than the branched polyethyl...
18_3
Path: UF >> EGM >> 3520 Spring, 2009
Description: 18-3 18.3 This problem asks that we compute, for a plain carbon steel wire 3 mm in diameter, the maximum length such that the resistance will not exceed 20 . From Table 18.1 for a plain carbon steel = 0.6 x 107 (-m)1. If d is the diameter then, com...
18_9
Path: UF >> EGM >> 3520 Spring, 2009
Description: 18-9 Electron Mobility 18.9 The drift velocity of a free electron is the average electron velocity in the direction of the force imposed by an electric field. The mobility is the proportionality constant between the drift velocity and the electric f...
18_12
Path: UF >> EGM >> 3520 Spring, 2009
Description: 18-12 18.12 (a) This portion of the problem asks that we calculate, for silver, the number of free electrons per cubic meter (n) given that there are 1.3 free electrons per silver atom, that the electrical conductivity is 6.8 x 107 (\' m)-1, and that...
18_19a
Path: UF >> EGM >> 3520 Spring, 2009
Description: 18-22 18.19 This problem asks that we make plots of ln ni versus reciprocal temperature for both Si and Ge, using the data presented in Figure 18.16, and then determine the band gap energy for each material realizing that the slope of the resulting ...
18_19b
Path: UF >> EGM >> 3520 Spring, 2009
Description: 18-23 The value cited in Table 18.3 is 1.11 eV. Now for Ge, an analogous plot is shown below. We calculate the slope and band gap energy values in the manner outlined above. Let us take 1/T1 = 0.001 and 1/T2 = 0.011; their corresponding ln values ...
18_29
Path: UF >> EGM >> 3520 Spring, 2009
Description: 18-33 18.29 (a) In this problem, for a Si specimen, we are given values for p (2.0 x 1022 m-3) and [500 (m)-1], while values for h and e (0.05 and 0.14 m2/V-s, respectively) are found in Table 18.3. In order to solve for n we must use Equation 18.1...
18_35
Path: UF >> EGM >> 3520 Spring, 2009
Description: 18-39 18.35 This problem asks that we estimate the temperature at which GaAs has an electrical conductivity of 1.6 x 10-3 (-m)-1 assuming that the conductivity has a temperature dependence as shown in Equation 18.36. From the room temperature (298 K...
18_41
Path: UF >> EGM >> 3520 Spring, 2009
Description: 18-45 The Hall Effect 18.41 (a) This portion of the problem calls for us to determine the electron mobility for some hypothetical metal using the Hall effect. This metal has an electrical resistivity of 3.3 x 10-8 (-m), while the specimen thickness ...
EmaCh14
Path: UF >> EMA >> 3010 Spring, 2009
Description: 5/1/2008 CHAPTER 14: POLYMER STRUCTURES ISSUES TO ADDRESS. What are the basic microstructural features? How are polymer properties effected by molecular weight? How do polymeric crystals accommodate the polymer chain? repeat unit Chapter 14 Pol...
EmaCh15
Path: UF >> EMA >> 3010 Spring, 2009
Description: 5/1/2008 Chapter 15: Characteristics, Applications & Processing of Polymers ISSUES TO ADDRESS. What are the tensile properties of polymers and how are they affected by basic microstructural features? Hardening, anisotropy, and annealing in polymer...
EmaCh17
Path: UF >> EMA >> 3010 Spring, 2009
Description: 5/1/2008 CHAPTER 17: CORROSION AND DEGRADATION ISSUES TO ADDRESS. Why does corrosion occur? What metals are most likely to corrode? How do temperature and environment affect corrosion rate? How do we suppress corrosion? THE COST OF CORROSION C...
EmaCh18
Path: UF >> EMA >> 3010 Spring, 2009
Description: 5/1/2008 Chapter 18: Electrical Properties ISSUES TO ADDRESS. How are electrical conductance and resistance characterized? What are the physical phenomena that distinguish conductors, semiconductors, and insulators? For metals, how is conductivit...
GLYquestions01
Path: UF >> GLY >> 1100 Spring, 2009
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GLYquestions02
Path: UF >> GLY >> 1100 Spring, 2009
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GLYquestions03
Path: UF >> GLY >> 1100 Spring, 2009
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GLYquestions04
Path: UF >> GLY >> 1100 Spring, 2009
Description: ...
6_9
Path: UF >> EGM >> 3520 Spring, 2009
Description: COSMOS: Complete Online Solutions Manual Organization System Chapter 6, Solution 9. First note that, by inspection of joint H: FCH = 0 ! and FDH = FGH FCG = 0 ! and FBC = FCD FBG = 0 ! and FFG = FGH FBF = 0 ! and FAB = FBC then, by inspection of j...
6_10
Path: UF >> EGM >> 3520 Spring, 2009
Description: COSMOS: Complete Online Solutions Manual Organization System Chapter 6, Solution 10. FBD Truss: Fx = 0: H x = 0 By symmetry: A y = H y = 4 kips by inspection of joints C and G : FAC = FCE and FBC = 0 FEG = FGH and FFG = 0 also, by symmetry FAB = FFH...
6_50
Path: UF >> EGM >> 3520 Spring, 2009
Description: COSMOS: Complete Online Solutions Manual Organization System Chapter 6, Solution 50. FBD Truss: Distance between loads = 1.5 m Fx = 0: By symmetry, Ax = 0 A y = K y = 18 kN FBD Section ABC: FBD Section ABC: M D = 0: (1.5 m ) FCE + (1.5 m )( 6 k...
6_86
Path: UF >> EGM >> 3520 Spring, 2009
Description: COSMOS: Complete Online Solutions Manual Organization System Chapter 6, Solution 86. (a) FBD AC: Note: CE is a two-force member M A = 0: 1 1 - ( 8 in.) FCE - ( 2 in.) FCE + 192 lb in. = 0 2 2 FCE = 19.2 2 lb, E x = 19.20 lb E y = 19....
7_38
Path: UF >> EGM >> 3520 Spring, 2009
Description: ...
7_65
Path: UF >> EGM >> 3520 Spring, 2009
Description: COSMOS: Complete Online Solutions Manual Organization System Chapter 7, Solution 65. (a) Shear Diag: dV V is zero at A with constant slope = - w = -1 kip/ft decreasing to dx - 3.6 kips at C. V then jumps 9 kips to 5.4 kips and is constant t...
7_74
Path: UF >> EGM >> 3520 Spring, 2009
Description: COSMOS: Complete Online Solutions Manual Organization System Chapter 7, Solution 74. (a) Fy = 0: Ay - ( 2 kips/ft )( 8 ft ) - 3 kips + 7 kips = 0 A y = 12 kips M A = 0: Shear Diag: V jumps to 12 kips at A, then decreases at 2 kips/ft to - 4 kips...
7_78
Path: UF >> EGM >> 3520 Spring, 2009
Description: COSMOS: Complete Online Solutions Manual Organization System Chapter 7, Solution 78. (a) Note: The 2 kip force at E has been replaced by the equivalent force and couple at C. M A = 0: - ( 6 ft )(1 kip/ft )(12 ft ) + 8 kip ft - (12 ft )( 2 kips )...
EMLch5
Path: UF >> EML >> 3100 Spring, 2009
Description: SOLUTION MANUAL SI UNIT PROBLEMS CHAPTER 5 SONNTAG BORGNAKKE VAN WYLEN FUNDAMENTALS of Thermodynamics Sixth Edition Sonntag, Borgnakke and van Wylen CONTENT SUBSECTION Correspondence table Concept-Study Guide Problems Kinetic and potential ene...
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Path: Cornell >> NTRES >> 2010 Spring, 2009
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Path: Cornell >> NTRES >> 2010 Spring, 2009
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Path: Cornell >> NTRES >> 2010 Spring, 2009
Description: Most Promising Stabilization Wedges Energy efficiency (vehicles, buildings, electric power plants Fuel shift (natural gas replacing coal) Carbon capture and storage Nuclear power plants Renewable power and fuel sources (wind, solar, biomass) Forests ...
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Path: Cornell >> NTRES >> 2010 Spring, 2009
Description: The Demographic Transition: Factors Influencing Human Fertility A male heir is an object of first importance. By a son a man obtains victory. By a son\'s son he enjoys immortality. And by the son of that grandson he reaches the solar abode. from Mal...
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Path: Cornell >> NTRES >> 2010 Spring, 2009
Description: Sustainable Agriculture [To halt extinction] the first step would be to cease \"developing\" any more relatively undisturbed landeven so, ending direct human incursions into remaining undisturbed habitats would be only a startthe indispensable strateg...
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Path: Cornell >> NTRES >> 2010 Spring, 2009
Description: Degradation of Arid Lands: Desertification Man strides over the earth and deserts follow in his footprints. Ancient Proverb Definition: A process of environmental degradation by which productive land is made non-productive and desert-like The whit...
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Path: Cornell >> NTRES >> 2010 Spring, 2009
Description: Introduction to Renewable Natural Resources Plato: Human intellect ponders a physical reality (nature) to which the intellect is not connected. Aristotle: There exists a fundamental connection between thinker intellect and the physical reality th...
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Path: Cornell >> NTRES >> 2010 Spring, 2009
Description: Freshwater Resources Principal Issues in Renewable Natural Resources 1. sustainability: management approaches 2. conservation vs. preservation: wise use and the rights of nature A major difficulty in allocating groundwater is that the future value ...
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Path: Cornell >> NTRES >> 2010 Spring, 2009
Description: If any resource can be shifted from one configuration to another, and it would bring greater satisfaction in the second, then it should be so shifted. Maxim of resource economics McEcoy, A.F. 1987. Toward an interactive theory of nature and culture:...
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Path: Cornell >> DSOC >> 1101 Spring, 2009
Description: Sending Sickness: Sorcery, Politics, and Changing Concepts of AIDS in Rural Haiti Author(s): Paul Farmer Source: Medical Anthropology Quarterly, New Series, Vol. 4, No. 1, Culture and Behavior in the AIDS Epidemic (Mar., 1990), pp. 6-27 Published by:...
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Path: Cornell >> DSOC >> 1101 Spring, 2009
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Path: Cornell >> DSOC >> 1101 Spring, 2009
Description: Warning Concerning Copyright Restrictions The copyright law of the United States (Title 17, United States Code) governs the making of photocopies or other reproductions of copyrighted material. Under certain conditions specified in the law, libraries...
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Path: Cornell >> DSOC >> 1101 Spring, 2009
Description: Warning Concerning Copyright Restrictions The copyright law of the United States (Title 17, United States Code) governs the making of photocopies or other reproductions of copyrighted material. Under certain conditions specified in the law, libraries...

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