38 Pages

#### Chapter 12 Skill Building

Course: PHYSICS PHYS310, Spring 2010

School: Rutgers

Word Count: 3828

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Assignment MasteringPhysics: Print View A Matter of Some Gravity Learning Goal: To understand Newton's law of gravitation and the distinction between inertial and gravitational masses. In this problem, you will practice using Newton's law of gravitation. According to that law, the magnitude of the gravitational force between two small particles of masses and , separated by a distance , is given by , where is the...

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Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewReading Quiz 13.1Part A A new way of multiplying two vectors is introduced in Chapter 13. What is it called? ANSWER: Dot product Scalar product Angular product Tensor product Cross productReading Quiz 13.2Part A
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewPSS 13.1: Let's Go for a SpinLearning Goal: To practice Problem-Solving Strategy 13.1 for problems involving rotational dynamics. A uniform board of mass and length is pivoted on one end and is supported in the hor
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewReading Quiz 14.1Part A What is the name of the quantity represented by the symbol ANSWER: Angular momentum Angular frequency circular motion Centripetal acceleration ? Phase constant UniformReading Quiz 14.2Part
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewVector Cross ProductLet vectors , , and .Calculate the following, expressing your answers as ordered triples (three comma-separated numbers). Part A Hint A.1 The cross product Hint not displayed ANSWER: Part B ANS
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewPage 1 of 27Assignment Display Mode: View Printable AnswersIUPhysicsP201F2009Assignment 7bDue at 11:00pm on Sunday, October 26, 2008View Grading DetailsIntroduction to Moments of Inertia and Rotational Kinetic
Rutgers - PHYSICS - PHYS310
Physics 201, Midterm Exam 1, Fall 2006 Answer Key 1) The equation for the change of position of a train starting at x = 0 m is given by 1 x(t) = at 2 + bt 3 . The dimensions of b are: 2 A. T3 B. LT3 C. LT2 D. LT1 E. L1T12) For the x(t) given in the previ
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewPage 1 of 12Assignment Display Mode: View Printable AnswersIUPhysicsP201F2009Assignment 5aDue at 11:00pm on Tuesday, September 30, 2008View Grading DetailsAll Work and No PlayDescription: Several conceptual a
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewPage 1 of 10Assignment Display Mode: View Printable AnswersIUPhysicsP201F2009Assignment 6bDue at 12:00pm on Sunday, October 19, 2008View Grading DetailsConservation of Momentum in Two Dimensions Ranking TaskD
Rutgers - PHYSICS - PHYS310
CHAPTER 9: Static Equilibrium; Elasticity and Fracture Answers to Questions5. (a) If we assume that the pivot point of rotation is the lower left corner of the wall in the picture, then the gravity force acting through the CM provides the torque to keep
Rutgers - PHYSICS - PHYS310
CHAPTER 10: Fluids Answers to Questions3. Let the first container have a mass of water M 1 . The force of gravity on the water, acting downward, is thus M 1 g . The side walls only exert a force perpendicular to the walls, which is horizontal for the fir
Rutgers - PHYSICS - PHYS310
CHAPTER 11: Vibrations and Waves Answers to Questions13. The speed of the transverse wave is measuring how fast the wave disturbance moves along the cord. For a uniform cord, that speed is constant, and depends on the tension in the cord and the mass den
Rutgers - PHYSICS - PHYS310
CHAPTER 12: Sound Answers to Questions7. The basic equation determining the pitch of the organ pipe is either fclosed = closed pipe, or f open =nv nv 4L , n = odd integer , for a, n = integer , for an open pipe. In each case, the frequency is proportio
Rutgers - PHYSICS - PHYS310
13.20 The pendulum in a grandfather clock is made of brass and keeps perfect time at 17C. Howmuch time is gained or lost in a year if the clock is kept at 25C? (Assume the frequency dependence on length for a simple pendulum applies.) The pendulum has a
Rutgers - PHYSICS - PHYS310
14.6 A small immersion heater is rated at 350 W. Estimate how long it will take to heat a cup of soup (assume this is 250 mL of water) from 20C to 60C. The wattage rating is Joules per second. Note that 1 L of water has a mass of 1 kg. 1 kcal 4186 J 1 s 1
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewPage 1 of 12Assignment Display Mode: View Printable AnswersIUPhysicsP201F2009Assignment 4aDue at 11:00pm on Tuesday, September 23, 2008View Grading DetailsA Mass on a Turntable: ConceptualDescription: An obje
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewPage 1 of 11Assignment Display Mode: View Printable AnswersIUPhysicsP201F2009Assignment 4bDue at 11:00pm on Sunday, September 28, 2008View Grading DetailsConical Pendulum IDescription: 2D pendulum with the ma
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewPage 1 of 20Assignment Display Mode: View Printable AnswersIUPhysicsP201F2009Assignment 5bDue at 11:00pm on Sunday, October 5, 2008View Grading DetailsProblem 6.57Description: Early test flights for the space
Rutgers - PHYSICS - PHYS310
MasteringPhysics: Assignment Print ViewPage 1 of 16Assignment Display Mode: View Printable AnswersIUPhysicsP201F2009Assignment 6aDue at 12:00pm on Tuesday, October 14, 2008View Grading DetailsImpulse on a BaseballDescription: Calculation of the im
Clarkson - MATH - ME 330
MA330 Fall 2005 Test 2 2 November 2005Name:2 1. Consider the initial value problem y + 5y + 6y = 12, y(0) = 0, y (0) = 0.(a) Find the Laplace transform of the left hand side (LHS) of the above equation.(b) Find the equilibrium solution?(c) Solve the
Clarkson - MATH - ME 330
MA330Fall 2006Test 21 November 2006Name and ID number:Instructions: No calculators, cell phones, or help from a friend. You are allowed 1-sheet of 8.5 x 11 paper with whatever handwritten stu you desire. There is no integral sheet attached because yo
Clarkson - MATH - ME 330
MA330Fall 2009Test 228 October 2009Name and ID number:Instructions: CALCULATORS ARE ALLOWED. No cell phones, or help from a friend. You are allowed 1-sheet of 8.5 x 11 paper with whatever handwritten stu you desire. There is no integral sheet attache
Clarkson - MATH - ME 330
M A33O Fall 2 005 Test 3 2 N ovember 2 005Name:1 . C onsiderhe i nitial v aluep roblemy &quot; + 5 y' + 6 y : 1 2, g (0) : 0 , ty '(0) : 0 .(a) F ind t he L aplacet ransform o f t he l eft h and s ide ( LHS) o f t he a bovee quation.(b) F ind t he e quili
Clarkson - AE - 350
Homework I 8/23/2006Problem overview The beam of a rectangular thin-walled section (i.e. t is very small) is designed to carry both bending moment M and torque T. The following series of questions is intended to illuminate the weight efficiency issues as
Clarkson - AE - 350
Problem 2.1 Solution:a) x ' x ' u x x x(1 ) x(1 0.03) 1.03x y ' y v y y y (1 ) y (1 0.01) 0.99 x z ' z z b) xx xyc) dv du d 0.01 zz 0.03 yy 0 dy dx dz dv du d dv d d 0 yz 0 xz 0 dx dy dy dz dx dzV ' x ' y ' z ' 1.03 x *0.99 y * z 1.0197 xyz V V
Clarkson - AE - 350
Calculate the maximum shear stress for two cases: (a) xx = yy = zz = 4MPa xy = 1MPa (b) same as case a, except that zz = 0 . Why is the maximum shear stress larger in case b? The three principal stresses for case a) are 1 = 5, 2 = 4, 3 = 3MP a so the maxi
Clarkson - AE - 350
Clarkson - AE - 350
Problem 5.3 Find the shear center ysc for the sections of Figures 5.30 and 5.32. For the four-stringer section, assume the tin sheets are ineffective in bending. Solution a) For the section of Figure. 5.30 100mm t=2mm 200mmThe moment of inertia of the th
Clarkson - AE - 350
Example - SF, BM, Torsion CalculationRectangular wing: chord = 0.5 m, span = 4 m, TOGW = 5,000 N, nmax = 4 Wing area = 2 sq m, AR = b/c =8Calculate total lift force (approx. normal force) on each wing: Lw = (W * n *1.5 / 2) =15,000 N (Ultimate load on e
Clarkson - AE - 350
AirfoilGeometryUppersurfacezLEcircle (radius)thicknessZtChor dlineZlLowersurfacecamber ZcZuTE thickness TECamberline linejoiningthemidpointsbetweenupperandlowersurfaces. Chordline straightlinejoiningendpointsofcamberline(length=c) Camber max.d
Clarkson - AE - 350
FlexuralShearinThinWalledSectionsOpenThinWalledSection Usesn coordinatesystemforthinwalledsections.Thesaxisisalongwall centerline,naxisisperpendiculartoit.zn xnz xsxVz sxCy xs Shearstressalongwall= Shearstressperpendiculartosaxis= xn xn Since
Clarkson - AE - 350
CLARKSON UNIVERSITY Department of Mechanical and Aeronautical Engineering AE/ME 350 Aircraft Structural Analysis (Fall 2010) Sample Test #1 Closed book Closed notes Time : 1:15 hour1. List the five main requirements/design criteria for aircraft structura
Clarkson - AE - 350
CLARKSON UNIVERSITY Department of Mechanical and Aeronautical Engineering AE/ME 350 Aircraft Structural Analysis (Fall 2010) Sample Test #2 Closed book Closed notes Time 1:15 hour1. Sketch a V-n diagram and label the axes and the limit lines. 2. What is
Clarkson - AE - 350
y0 3.64 7.28 10.92 14.56 18.2 21.84 25.48 29.12 32.72Ellipticalc(y) WingChord AverageChord 23.67 20.2 21.94 23.52 20.2 21.86 23.08 20.2 21.64 22.31 20.2 21.26 21.2 20.2 20.7 19.67 20.2 19.94 17.63 20.2 18.91 14.85 20.2 17.52 10.79 20.2 15.5 0 20.2 10.1
Clarkson - AE - 350
CLARKSON UNIVERSITY Department of Mechanical and Aeronautical Engineering AE/ME 350 Aircraft Structural Analysis (Fall 2010) Test #1 Solution1. Imagine that you are responsible for structural design of a supersonic transport airplane. What are the five m
Clarkson - AE - 350
CLARKSON UNIVERSITY Department of Mechanical and Aeronautical Engineering AE/ME 350 Aircraft Structural Analysis (Fall 2010) Test #1 Sept 30, 2010 Closed book Closed notes Time : 1:15 hour1. Imagine that you are responsible for structural design of a sup
Clarkson - AE - 350
CLARKSON UNIVERSITY Department of Mechanical and Aeronautical Engineering AE/ME 350 Aircraft Structural Analysis (Fall 2010) Test 2 Solution Closed book Closed notes Time 1:15 hour1. Sketch a V-n diagram and label the axes and the limit lines.10.0 10.0
Clarkson - ME - 330
,'u.SLu Jrdr/l, ~ a.ct.vL. : J (+. ~ .d:t., M(. X6 )1-'&gt;c.L-MJ Ml .vn;/)'l A /vI.t&gt;.;~ ./.Vr c,. 150 R n- ~ ;( A~ I- t.JII' ~ j( )II;'h ~p,d'I,t.-_i~lt PLf,)1':.of&quot;~6idt -.Jz,ue.71 uL-6' .~E~+ W ~tdht ~ f1V.=?:r[()~oft-
Clarkson - ME - 330
ES330 Assignment 5 SolutionsChapter 5 Due Date: Tuesday October 5, 2010I Problem 1 Consider a river owing toward a lake at an average velocity of 3m/s and a volume ow rate of 250m3 /s. If 20% of the river water is diverted through a turbine, what is the
Clarkson - ME - 330
ES330 Assignment 6 SolutionsChapter 5 Due Date: Thursday October 14, 2010I Problem 1 A glass manometer with mercury as a working uid is connected to a duct as shown. Will the mercury in the manometer move as shown in (a) or (b)? Why?Solution We can nd
Clarkson - ME - 330
ES330 Assignment 7 SolutionsChapter 6 Due Date: Thursday October 21, 2010I Problem 1 A fan with 36 indiameter blades moves 1500cf m (cubic feet per minute) of air at 70o F at sea level. Determine (a) the force required to hold the fan and (b) the minimu
Clarkson - ME - 330
ES330 Assignment 8 SolutionsChapter 7 Due Date: Thursday October 28, 2010II Problem 2 A student team is to design a human-powered submarine for a design competition. The overall length of the prototype submarine is Lp , and its student designers hope th
Clarkson - ME - 330
ES330 Assignment 9 SolutionsChapter 9 Due Date: Thursday November 4, 2010I Problem 1 Beth is studying a rotating ow in a wind tunnel. She measures the u and v components of velocity using a hot-wire anemometer att x = 1.5m and y = 0.2m, u = 3.3m/s and v
Clarkson - ME - 455
Chile Mine Rescue Operation11/3/20109:41:46AM1Chapter 3: General Forced ResponseIn the topics covered so far, all of the driving forces have been harmonic excitation, i.e., sine or cosine excitationsmx(t ) cx(t ) kx(t )F0 cos tLinear combination of
Clarkson - ME - 455
Chile Mine Rescue Operation1Chapter 3: General Forced ResponseIn the topics covered so far, all of the driving forces have been harmonic excitation, i.e., sine or cosine excitationsmx(t ) cx(t ) kx(t )F0 cos tLinear combination of harmonic excitatio
Clarkson - ME - 455
Chapter 4Multiple Degree-of-Freedom (DOF) Systems1Multiple Degree of Freedom SystemsD eg r e e-of- F r e e dom ( D O F ) : Minimum number of coordinates to specify the configuration of a systemEngineering System1DOF System Model2DOF System Modelx(
Clarkson - ME - 455
Clarkson - ME - 455
M ElAE 455 MElAE555 CE 512Student N ame:Oct. 26, 2009C larkson U niversityM E 4 55/AE455 M E/AE 555 C E512 Examination 2 Instructor: Prof. C. Cetinkaya October 26, 2008 Fall 2009 S tudent N ame S tudent N umber C lass ;ircle one) : ME455 AE455 ME555 A
Clarkson - ME - 455
ME/AE455 ME/AE555CE 512StudentName:Noy 5,2008ClarksonUniversityME 455/AE455 ME/AE 555 CE512 Examination 2 Instructor: Dr. C. Cetinkaya November 5, 2008 Fall 2008 Student Name Student Number Class (Circle one) : ME455 AE455 ME555 AE555 CE512Sa\J-c
Clarkson - MATH - ME 330
MA330 Fall 2005 Final Exam 15 December 2005Name:2 1. You work for a company that makes oce furniture, and you are evaluating the design and assembly process for some component. The item is made from partical board and is designed to be assembled using 5
Clarkson - MATH - ME 330
MA330 Fall 2006 Final Exam 14 December 2006Name:ID No:2 1. You randomly select some widgets for weighing. You collect the following values for mass (kg):cfw_32, 41, 45, 38, 43 . The sample mean is: .The sample standard deviation is:.3 2. The city m
Clarkson - MATH - ME 330
MA330 Fall 2009 Final Exam 09 December 2009Name:ID No: Calculators are authorized. You may use 1 standard size sheet of paper with handwritten formulas and notes. No other notes or books are allowed. Be mindful of the rules on academic integrity. When
Clarkson - ME - 330
ES330 Assignment 1 SolutionsChapters 2 and 3 Due Date: Thursday September 2, 20101 Similar to Problem 2-7 in Text The pressure in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25o C , the pressure gage
Clarkson - ME - 330
ES330 Assignment 2 SolutionsChapter 3 Due Date: Thursday September 9, 20101 Similar to Problem 3-43 in Text The 500-kg load on the hydraulic lift shown in the gure is to be raised by pouring mercury ( = 13560kg/m3 ) into a thin tube. Determine how high
Clarkson - ME - 330
\t /'-&quot;,'~,I.;0.,1,.~~-:,.t.'r!,/.r',~ ,.Il1Y r-r, )&quot; ~ .O,J K I ~i.' \ DODr')\-f'.ou)J011.C-b. y'1-,'01 (yI&quot;:,'~&quot;'r&quot;j't-cfw_'I1'~ - .,Jf:l z.f;:'+~&quot;', --'f:.t';J ~ZO.15tN)2;,. (0:.:-: . -:N)1..-.-.+0;08=2LJO.ZOKNd.-hL,
Clarkson - ME - 330
ES330 Assignment 4 SolutionsChapter 5 Due Date: Thursday September 23, 2010I Problem 1 The ow between two parallel plates, where one plate is xed and the other moves with a speed U is characterized by a linear velocity prole u = U z/h as shown. Develop
Clarkson - ME - 455
Survey Result:1Group 1More examples in class (similar to homework assignments) Website with course information and notes Slow downPractice exam problems before examsNotes are clearer2Group 2Explain mathematical derivation/terms in equations more c
Clarkson - ME - 455
Correction: Slide #44 in Ch2-1toCh2-3.ppt(2As 22nBsn2 nAs2 nf 0 ) cos t Bs sin t0Bs 2AsSign of this term was incorrect in the previous presentation. Correct it in your notes12.4 Base ExcitationOne way to excite the motion of a system is
Clarkson - ME - 455
Correction: Slide #44 in Ch2-1toCh2-3.ppt( As 2n Bs As f 0 ) cos t2 Bs 2n As Bs sin t 02 2 nSign of this term was incorrect in the previous presentation. Correct it in your notes2 n12.4 Base ExcitationOne way to excite the motion of a system is t
Clarkson - ME - 455
Chile Mine Rescue Operation10/28/20101:16:29PM1Chapter 3: General Forced ResponseIn the topics covered so far, all of the driving forces have been harmonic excitation, i.e., sine or cosine excitationsmx(t ) cx(t ) kx(t )F0 cos tLinear combination o
Clarkson - ME - 455
Chile Mine Rescue OperationChapter 3: General Forced Response In the topics covered so far, all of the driving forces have been harmonic excitation, i.e., sine or cosine excitationsmx(t ) cx(t ) kx(t ) F0 cos t Linear combination of harmonic excitatio
Clarkson - ME - 455