PKK Energy chains. PKK 320 / 200 x 2340 / 200; 5Pz, 1PT55. The order for a plastic energy chain PKK should contain the following data:
|
|
|
- Naomi Daniels
- 5 years ago
- Views:
Transcription
1 Energ cins Te order for plstic energ cin sould contin te following dt: 1 Tpe / dius Lengt / Widt "Arrngement"; Seprtor rrngement 2 3 Emple: Tpe selection is in ccordnce wit dimeter nd quntit of te lines to be instlled. A clernce of t lest 10 % for cbles nd 20 % for oses sould be vilble. Te (dius) is lso dependent on te cbles to be instlled. Compl wit te sttements of te mnufcturer. 10 times te lrgest line dimeter cn be cosen in generl. Te L(engt) of te cin depends on te trvel distnce. Te following formul cn be used: L = trvel distnce /2 + ( rdius) (round up to link ) Te energ cin is delivered wit dditionl connector links. (see drwing below) Te W(idt) of te cin depends on te number nd dimension of te cbles to be instlled. Wit slow pplictions cbles cn be instlled on top of one noter, creting etr spce. Te Arrngement is onl to be stted in specil cses. (see pge 29) Te Seprtor rrngement depend on te ppliction. (see emple) Trvel distnce 3 m, bend rdius 200 mm, cbles: 11 mm, 88 mm, 312 mm, 222 mm 320 / / 200; P, 1PT Te cn esil be combined to ever widt b dding sts. Even te eigt cn be cnged b te customer or te stiffness m be incresed electivl b dditionl link strnds. movble connector lengt L optionl etension c.0, optionl etension trvel distnce 0. trvel distnce 0. trvel distnce fied connector supporting surfce pretension All re supplied wit te integrted connector, i.e. ec link cn lso be used s connector. ekd gelenkror Plstic divider (PZ) Plstic telescopic ler divider (PT) ekd gelenkror ø cin widt + 0 ekd gelenkror 0 min. cin igt = 2 + link igt ekd gelenkror GmbH - telepone +9(0)211 / 20 - telef +9(0)211 / 21088
2 c 120/220/320/20 Dimensions i e st lengt + 2 f (connector) PZ Also wit flnge connector deliverble. (Plese request drwing C3.AP087-1) 120,121, ,221, ,321,328 st lengt flnge connector PT optionl etension wit dditionl sts Mimum igt is offered b te 20 nd , , ,321 20,21 bend rdius 7//10/200/300 10/200/300/00/00 n p w , 1, , , , g f 11 integrted connector ø optionl etension wit dditionl sts nd link strnds 121/221/321/31/21 Tese tpes minl epress te bsic tpe but do ve st in ever link. 0/0/0/ Ø 1 0,0 /10/200/20/300/00 * m. usble stwidt is stlengt - 2e *** st lengt in ec second link 3 1 **1.st grid of P (grid ec 2mm) vilble st lengt [mm] st lengt + n p w weigt*** kg/m , c e* f g Ø Ø8 Ø8 i** ,0 2,0 3,0 ekd gelenkror GmbH - telepone +9(0)211 / telef Telef +9(0)211 / / 21088
3 l od / ( kg /m ) Crcteristics 120/220/20/320/30/20 cn be combined to ever widt b using different lengts of sts. Cin m esil be etended or sortened witout using n tools b removing te clip. ot sts in te inner nd outer rdius m be removed to lod cin wit cbles. or seprtion of cbles plstic dividers m be fied in 2 mm steps s well s telescopic dividers for oriontl seprtion. Ec link is supplied wit its own connecting ole. No dditionl connecting pieces re necessr. Te bsic tpe s st ever second link. Inner seprtion: Te igl vrible divider distribution, te smll step of 3 mm in te eigt setting rng nd te telescopic ler dividers (PT) permit mimum fleibilit for ll requirements, lso in cse of retrospective cnges. plstic telescopic ler divider (PT) Te professionl ssembl of te lines is prerequisite for durble business. Detiled dvice is necessr t ig speeds, ccelertions s well s t tubes. Notice te informtion from te line mnufcturer (minimum bend rdius, suitbilit for energ cins etc.) bsolutel. Mteril: tpe rnge in mm PT to mm PT 7 7 to mm Lod digrm: Plstic intermedite divider (PZ) Te dditionl lod is decisive for te coice of te energ cin net to minimum bend rdius nd mimum cble dimension. If te free crring lengt is eceeded te net sie must be cosen. Plstic telescopic ler divider (PT) LOAD DIAGAM P KK 12 0 Plstic ler divider st, overung (P) Te used polmer mteril is ver ig-qulit, glss fibre reinforced polmide. Te resistnce ginst cemicl substnces is ver good (eception cids nd concentrted lklines). Ask our tecnicins in doubt under detil of te used cemicls. Te temperture rnge of ppliction is between - 20 nd + C. Advice is lso required in te clen room, surge, or eplosion endngered res s well s res wit etreme environmentl conditions (e.g. tropics) remove st P K K 20 PK K free crring lengt Lf / (m) 2 0 unlock st st Lf ekd gelenkror GmbH - telepone +9(0)211 / telef Telef +9(0)211 / / 21088
4 110/210/20/310/30 Smoot links Te cn, for opticl resons, lso be delivered wit smoot links. Tis option sould be preferred, wen ordering closed tpe. c *m. usble inner widt is st lengt - 2e **1.st grid of PZ (grid ec 2mm) *** st lengt in ever second link 21 S moot links cuse n ecellent opticl effect b te closed t pe. 110, , , , , 31 i** e st lengt + 2 f PZ (connector) PT optionl etension b dditionl sts bend rdius c e* f g i** 110, 111 0/0/0/ Ø , 211 /7//12/10/200/21/20/ Ø 1 1,0 20, 21 7//10/200/20/ Ø 1 1,0 310, 311 /130/10/200/300/ Ø8 20 2,0 30, 31 /10/200/300/ Ø8 20 3,20 vilble st lengts [mm] weigt kg/m ekd gelenkror GmbH - telepone +9(0)211 / telef Telef +9(0)211 / / 21088
5 q3 128/228/328 Slider is used ver often for etremel long trvels. Te cin bnds re gliding on ec oter b using sliders. Tese re mde of specil plstic wit etremel good friction vlues. Onl few wer will occur. Sliders m be pressed into connecting oles of links fterwrds. Low numbers of strokes nd trvelling speed less tn 1 m/s do not require sliders. Te minimum bending rdius of ec cin tpe is not vilble wit sliders. If te trvel distnce is longer tn twice of te free crring lengt, ten guiding of te energ cin is necessr. Te ssembl nd putting into opertion of te guiding cnnel sould be done wit te gretest cre to ensure smoot function of te sstem. Guiding cnnels for ll fields of ppliction re vilble. Te single cnnel segments re fstened wit connection elements. Te moved prt of te cin glides up to te lf of te trvel distnce on te slide br wic is ssembled t te cnnel segments. Te ecnge re is rrnged to ensure smoot trnsition to te energ cin. At trvel distnces up to pp.30 m, trvel speeds up to v = 1. m/s nd ccelertions of = 1 m/s ² energ cin nd cnnel cn be relied like in te enclosed drwing. Applictions t iger vlues request for dvise to stisf te specil requirements b specific constructions. m Usul ssembl sitution: m Energ cin connection t te moved end lower ssembled nd wit n dditionl lengt t te end of te trvel distnce: end position I slide br intermedite position end position II slide br slider igt q: 128 = 3 mm 228 = mm 228 = 8 mm 328 = mm friction vlue 0,2 bis 0,2 (ppliction emple) dditionl lengt ekd gelenkror GmbH - telepone +9(0)211 / telef Telef +9(0)211 / / 21088
6 12/22/2/32/3/2 Closed tpe Tese re te closed tpes of. To instll cbles coverpltes bot in te outer nd inner rdius m be removed. Plstic dividers nd plstic ler dividers m lso be supplied to seprte cbles. sic cin tpe cn be cnged into closed tpe simpl b using cover pltes insted of sts. Te cn lso be delivered wit smoot links wic sfes spce nd cuses n ecellent opticl effect , /223/23/313/323 do ve n dditionl st in te inner rdius. It cn be used in cse of low trvelling speed to get more spce for dditionl lers of cbles. Additionl sts m lso be plced in te outer rdius. Oter combintions cn be delivered b request. 213, min. dius 0 dd. st n r s 213,223, sort 19, 1, - 23 long ,323 sort 29, 21, - long s r ook vilble cover pltes (lengts) vilble st lengts [mm] unlock ooks 2. remove cover plte cover plte 213/223/23/313/323 Additionl sts , , ook n ekd gelenkror GmbH - telepone +9(0)211 / telef Telef +9(0)211 / / 21088
7 Arrngements "s" stnding (witout pretension) "" nging (witout pretension) "k" circulr, ling on side (on request) = moved connector = fied connector (mid of trvel) norml (no order comment) "m" multiil "f" free overung "u" moved end downside 20 support lo d dependent 0 "i" into ec oter "" moving prt "w" oriontl, ling on side (witout pretension) 2D CAD nd 3D-CAD files in different file formts will be offered on request or downlod: "g" sliding ekd-gelenkror@t-online.de Telefon: +9 (0) 211 / 2-0 Telef: +9 (0) 211 / support lod dependent EDITION 12/2008 ekd gelenkror GmbH - telepone +9(0)211 / telef Telef +9(0)211 / / 21088
PKK Energy chains. PKK 320 / 200 x 2340 / 200; 5Pz, 1PT55
Energy cins Te order for plstic energy cin sould contin te following dt: Type / dius x Lengt / Widt "Arrngement"; Seprtor rrngement 1 3 Type selection is in ccordnce wit dimeter nd quntity of te lines
Kiel Probes. General Information
Kiel s Generl Informtion Aerodynmic Properties Kiel probes re used to mesure totl pressure in fluid strem were te direction of flow is unknown or vries wit operting conditions. Teir correction fctor is
Logarithms and Exponential Functions. Gerda de Vries & John S. Macnab. match as necessary, or to work these results into other lessons.
Logritms nd Eponentil Functions Gerd de Vries & Jon S. Mcn It is epected tt students re lred fmilir wit tis mteril. We include it ere for completeness. Te tree lessons given ere re ver sort. Te tecer is
Multiple Integrals. Review of Single Integrals. Planar Area. Volume of Solid of Revolution
Multiple Integrls eview of Single Integrls eding Trim 7.1 eview Appliction of Integrls: Are 7. eview Appliction of Integrls: olumes 7.3 eview Appliction of Integrls: Lengths of Curves Assignment web pge
12 Basic Integration in R
14.102, Mt for Economists Fll 2004 Lecture Notes, 10/14/2004 Tese notes re primrily bsed on tose written by Andrei Bremzen for 14.102 in 2002/3, nd by Mrek Pyci for te MIT Mt Cmp in 2003/4. I ve mde only
PLK VICWOOD K.T. CHONG SIXTH FORM COLLEGE Form Six AL Physics Optical instruments
AL Pysics/pticl instruments/p.1 PLK VICW K.T. CHNG SIXTH FRM CLLEGE Form Six AL Pysics pticl Instruments pticl instruments Mgniying glss Microscope Rercting telescope Grting spectrometer Qulittive understnding
Multiple Integrals. Review of Single Integrals. Planar Area. Volume of Solid of Revolution
Multiple Integrls eview of Single Integrls eding Trim 7.1 eview Appliction of Integrls: Are 7. eview Appliction of Integrls: Volumes 7.3 eview Appliction of Integrls: Lengths of Curves Assignment web pge
Chapter 2 Differentiation
Cpter Differentition. Introduction In its initil stges differentition is lrgely mtter of finding limiting vlues, wen te vribles ( δ ) pproces zero, nd to begin tis cpter few emples will be tken. Emple..:
Fundamental Theorem of Calculus
Funmentl Teorem of Clculus Liming Png 1 Sttement of te Teorem Te funmentl Teorem of Clculus is one of te most importnt teorems in te istory of mtemtics, wic ws first iscovere by Newton n Leibniz inepenently.
Solutions to Problems Integration in IR 2 and IR 3
Solutions to Problems Integrtion in I nd I. For ec of te following, evlute te given double integrl witout using itertion. Insted, interpret te integrl s, for emple, n re or n verge vlue. ) dd were is te
Math 20C Multivariable Calculus Lecture 5 1. Lines and planes. Equations of lines (Vector, parametric, and symmetric eqs.). Equations of lines
Mt 2C Multivrible Clculus Lecture 5 1 Lines nd plnes Slide 1 Equtions of lines (Vector, prmetric, nd symmetric eqs.). Equtions of plnes. Distnce from point to plne. Equtions of lines Slide 2 Definition
The Frullani integrals. Notes by G.J.O. Jameson
The Frullni integrls Notes b G.J.O. Jmeson We consider integrls of the form I f (, b) f() f(b) where f is continuous function (rel or comple) on (, ) nd, b >. If f() tends to non-zero limit t, then the
200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes
PHYSICS 132 Smple Finl 200 points 5 Problems on 4 Pges nd 20 Multiple Choice/Short Answer Questions on 5 pges 1 hour, 48 minutes Student Nme: Recittion Instructor (circle one): nme1 nme2 nme3 nme4 Write
Mathematics Extension 2
00 HIGHER SCHOOL CERTIFICATE EXAMINATION Mthemtics Etension Generl Instructions Reding time 5 minutes Working time hours Write using blck or blue pen Bord-pproved clcultors my be used A tble of stndrd
Reference. Vector Analysis Chapter 2
Reference Vector nlsis Chpter Sttic Electric Fields (3 Weeks) Chpter 3.3 Coulomb s Lw Chpter 3.4 Guss s Lw nd pplictions Chpter 3.5 Electric Potentil Chpter 3.6 Mteril Medi in Sttic Electric Field Chpter
5.2 Volumes: Disks and Washers
4 pplictions of definite integrls 5. Volumes: Disks nd Wshers In the previous section, we computed volumes of solids for which we could determine the re of cross-section or slice. In this section, we restrict
Year 12 Mathematics Extension 2 HSC Trial Examination 2014
Yer Mthemtics Etension HSC Tril Emintion 04 Generl Instructions. Reding time 5 minutes Working time hours Write using blck or blue pen. Blck pen is preferred. Bord-pproved clcultors my be used A tble of
Quantum transport (Read Kittel, 8th ed., pp )
Quntum trnsport (Red Kittel, 8t ed., pp. 533-554) Wen we ve structure in wic mny collisions tke plce s crriers trnsport cross it, te quntum mecnicl pse of te electron wvefunctions is essentilly rndomized,
Exam 1 Solutions (1) C, D, A, B (2) C, A, D, B (3) C, B, D, A (4) A, C, D, B (5) D, C, A, B
PHY 249, Fll 216 Exm 1 Solutions nswer 1 is correct for ll problems. 1. Two uniformly chrged spheres, nd B, re plced t lrge distnce from ech other, with their centers on the x xis. The chrge on sphere
13.3. The Area Bounded by a Curve. Introduction. Prerequisites. Learning Outcomes
The Are Bounded b Curve 3.3 Introduction One of the importnt pplictions of integrtion is to find the re bounded b curve. Often such n re cn hve phsicl significnce like the work done b motor, or the distnce
Average Rate of Change (AROC) The average rate of change of y over an interval is equal to change in
Averge Rte o Cnge AROC Te verge rte o cnge o y over n intervl is equl to b b y y cngein y cnge in. Emple: Find te verge rte o cnge o te unction wit rule 5 s cnges rom to 5. 4 4 6 5 4 0 0 5 5 5 5 & 4 5
Instructor(s): Acosta/Woodard PHYSICS DEPARTMENT PHY 2049, Fall 2015 Midterm 1 September 29, 2015
Instructor(s): Acost/Woodrd PHYSICS DEPATMENT PHY 049, Fll 015 Midterm 1 September 9, 015 Nme (print): Signture: On m honor, I hve neither given nor received unuthorized id on this emintion. YOU TEST NUMBE
CONIC SECTIONS. Chapter 11
CONIC SECTIONS Chpter. Overview.. Sections of cone Let l e fied verticl line nd m e nother line intersecting it t fied point V nd inclined to it t n ngle α (Fig..). Fig.. Suppose we rotte the line m round
A Discussion on Formulas of Seismic Hydrodynamic Pressure
Interntionl Forum on Energy Environment Science nd Mterils (IFEESM 2017) A Discussion on Formuls of Seismic Hydrodynmic Pressure Liu Himing1 To Xixin2 1 Cin Mercnts Congqing Communiction Reserc & Design
1. Viscosities: μ = ρν. 2. Newton s viscosity law: 3. Infinitesimal surface force df. 4. Moment about the point o, dm
3- Fluid Mecnics Clss Emple 3: Newton s Viscosit Lw nd Se Stess 3- Fluid Mecnics Clss Emple 3: Newton s Viscosit Lw nd Se Stess Motition Gien elocit field o ppoimted elocit field, we wnt to be ble to estimte
A P P E N D I X POWERS OF TEN AND SCIENTIFIC NOTATION A P P E N D I X SIGNIFICANT FIGURES
A POWERS OF TEN AND SCIENTIFIC NOTATION In science, very lrge nd very smll deciml numbers re conveniently expressed in terms of powers of ten, some of wic re listed below: 0 3 0 0 0 000 0 3 0 0 0 0.00
Calculus Module C21. Areas by Integration. Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved.
Clculus Module C Ares Integrtion Copright This puliction The Northern Alert Institute of Technolog 7. All Rights Reserved. LAST REVISED Mrch, 9 Introduction to Ares Integrtion Sttement of Prerequisite
13.3. The Area Bounded by a Curve. Introduction. Prerequisites. Learning Outcomes
The Are Bounded b Curve 3.3 Introduction One of the importnt pplictions of integrtion is to find the re bounded b curve. Often such n re cn hve phsicl significnce like the work done b motor, or the distnce
Section 4.7 Inverse Trigonometric Functions
Section 7 Inverse Trigonometric Functions 89 9 Domin: 0, q Rnge: -q, q Zeros t n, n nonnegtive integer 9 Domin: -q, 0 0, q Rnge: -q, q Zeros t, n non-zero integer Note: te gr lso suggests n te end-bevior
ARITHMETIC OPERATIONS. The real numbers have the following properties: a b c ab ac
REVIEW OF ALGEBRA Here we review the bsic rules nd procedures of lgebr tht you need to know in order to be successful in clculus. ARITHMETIC OPERATIONS The rel numbers hve the following properties: b b
EFFECT OF ULTRASONIC TORSIONAL MODE VIBRATION CUTTING ON DRILLING IN CFRP LAMINATES
EFFET OF ULTRASONI TORSIONAL MOE VIRATION UTTING ON RILLING IN FRP LAMINATES H.Ygisit Professor-octor ept. of ontrol nd omputer Engineering Vice President of Numzu Ntionl ollege of Tecnology 3600 Ook,
Log1 Contest Round 3 Theta Individual. 4 points each 1 What is the sum of the first 5 Fibonacci numbers if the first two are 1, 1?
008 009 Log1 Contest Round Thet Individul Nme: points ech 1 Wht is the sum of the first Fiboncci numbers if the first two re 1, 1? If two crds re drwn from stndrd crd deck, wht is the probbility of drwing
HYPERBOLA. AIEEE Syllabus. Total No. of questions in Ellipse are: Solved examples Level # Level # Level # 3..
HYPERBOLA AIEEE Sllus. Stndrd eqution nd definitions. Conjugte Hperol. Prmetric eqution of te Hperol. Position of point P(, ) wit respect to Hperol 5. Line nd Hperol 6. Eqution of te Tngent Totl No. of
4/3 and 4/2 Proportional directional valve elements with flow sharing control (LUDV concept)
R 181-9/1.1 Replces: 1.11 1/1 / nd / Proportionl directionl vlve elements with flow shring control (LUDV concept) L88... (EDC-P) PTENT PENDING Summry Description Pge Generl specifictions 1 Ordering detils
10.2 The Ellipse and the Hyperbola
CHAPTER 0 Conic Sections Solve. 97. Two surveors need to find the distnce cross lke. The plce reference pole t point A in the digrm. Point B is meters est nd meter north of the reference point A. Point
- 5 - TEST 2. This test is on the final sections of this session's syllabus and. should be attempted by all students.
- 5 - TEST 2 This test is on the finl sections of this session's syllbus nd should be ttempted by ll students. Anything written here will not be mrked. - 6 - QUESTION 1 [Mrks 22] A thin non-conducting
The practical version
Roerto s Notes on Integrl Clculus Chpter 4: Definite integrls nd the FTC Section 7 The Fundmentl Theorem of Clculus: The prcticl version Wht you need to know lredy: The theoreticl version of the FTC. Wht
Chapter 2. Numerical Integration also called quadrature. 2.2 Trapezoidal Rule. 2.1 A basic principle Extending the Trapezoidal Rule DRAWINGS
S Cpter Numericl Integrtion lso clled qudrture Te gol of numericl integrtion is to pproximte numericlly. f(x)dx Tis is useful for difficult integrls like sin(x) ; sin(x ); x + x 4 Or worse still for multiple-dimensionl
Math Week 5 concepts and homework, due Friday February 10
Mt 2280-00 Week 5 concepts nd omework, due Fridy Februry 0 Recll tt ll problems re good for seeing if you cn work wit te underlying concepts; tt te underlined problems re to be nded in; nd tt te Fridy
1 + t5 dt with respect to x. du = 2. dg du = f(u). du dx. dg dx = dg. du du. dg du. dx = 4x3. - page 1 -
Eercise. Find te derivative of g( 3 + t5 dt wit respect to. Solution: Te integrand is f(t + t 5. By FTC, f( + 5. Eercise. Find te derivative of e t2 dt wit respect to. Solution: Te integrand is f(t e t2.
Mathematics Extension Two
Student Number 04 HSC TRIAL EXAMINATION Mthemtics Etension Two Generl Instructions Reding time 5 minutes Working time - hours Write using blck or blue pen Bord-pproved clcultors my be used Write your Student
Calculating Tank Wetted Area Saving time, increasing accuracy
Clulting Tnk Wetted Are ving time, inresing ur B n Jones, P.., P.E. C lulting wetted re in rtillfilled orizontl or vertil lindril or ellitil tnk n e omlited, deending on fluid eigt nd te se of te eds (ends)
, MATHS H.O.D.: SUHAG R.KARIYA, BHOPAL, CONIC SECTION PART 8 OF
DOWNLOAD FREE FROM www.tekoclsses.com, PH.: 0 903 903 7779, 98930 5888 Some questions (Assertion Reson tpe) re given elow. Ech question contins Sttement (Assertion) nd Sttement (Reson). Ech question hs
Operations with Polynomials
38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: How to identify the leding coefficients nd degrees of polynomils How to dd nd subtrct polynomils How to multiply polynomils
P 1 (x 1, y 1 ) is given by,.
MA00 Clculus nd Bsic Liner Alger I Chpter Coordinte Geometr nd Conic Sections Review In the rectngulr/crtesin coordintes sstem, we descrie the loction of points using coordintes. P (, ) P(, ) O The distnce
Safety relay OA 5601, OA 5602, OA 5603
Sfety rely OA 0, OA 0, OA 0 cc. to DIN EN 0 0, DIN EN 0-, DIN EN 0 - with positively driven contcts Clernce nd creepge distnces, contct-coil mm high voltge resistnce kv high switching relibility due to
TImath.com Algebra 2. Constructing an Ellipse
TImth.com Algebr Constructing n Ellipse ID: 9980 Time required 60 minutes Activity Overview This ctivity introduces ellipses from geometric perspective. Two different methods for constructing n ellipse
Topic 1 Notes Jeremy Orloff
Topic 1 Notes Jerem Orloff 1 Introduction to differentil equtions 1.1 Gols 1. Know the definition of differentil eqution. 2. Know our first nd second most importnt equtions nd their solutions. 3. Be ble
M344 - ADVANCED ENGINEERING MATHEMATICS
M3 - ADVANCED ENGINEERING MATHEMATICS Lecture 18: Lplce s Eqution, Anltic nd Numericl Solution Our emple of n elliptic prtil differentil eqution is Lplce s eqution, lso clled the Diffusion Eqution. If
Pythagorean Theorem and Trigonometry
Ptgoren Teorem nd Trigonometr Te Ptgoren Teorem is nient, well-known, nd importnt. It s lrge numer of different proofs, inluding one disovered merin President Jmes. Grfield. Te we site ttp://www.ut-te-knot.org/ptgors/inde.stml
fractions Let s Learn to
5 simple lgebric frctions corne lens pupil retin Norml vision light focused on the retin concve lens Shortsightedness (myopi) light focused in front of the retin Corrected myopi light focused on the retin
University of Alabama Department of Physics and Astronomy. PH126: Exam 1
University of Albm Deprtment of Physics nd Astronomy PH 16 LeClir Fll 011 Instructions: PH16: Exm 1 1. Answer four of the five questions below. All problems hve equl weight.. You must show your work for
ES.182A Topic 32 Notes Jeremy Orloff
ES.8A Topic 3 Notes Jerem Orloff 3 Polr coordintes nd double integrls 3. Polr Coordintes (, ) = (r cos(θ), r sin(θ)) r θ Stndrd,, r, θ tringle Polr coordintes re just stndrd trigonometric reltions. In
Math 8 Winter 2015 Applications of Integration
Mth 8 Winter 205 Applictions of Integrtion Here re few importnt pplictions of integrtion. The pplictions you my see on n exm in this course include only the Net Chnge Theorem (which is relly just the Fundmentl
6.5 Plate Problems in Rectangular Coordinates
6.5 lte rolems in Rectngulr Coordintes In this section numer of importnt plte prolems ill e emined ug Crte coordintes. 6.5. Uniform ressure producing Bending in One irection Consider first the cse of plte
8.6 The Hyperbola. and F 2. is a constant. P F 2. P =k The two fixed points, F 1. , are called the foci of the hyperbola. The line segments F 1
8. The Hperol Some ships nvigte using rdio nvigtion sstem clled LORAN, which is n cronm for LOng RAnge Nvigtion. A ship receives rdio signls from pirs of trnsmitting sttions tht send signls t the sme time.
PROPERTIES OF AREAS In general, and for an irregular shape, the definition of the centroid at position ( x, y) is given by
PROPERTES OF RES Centroid The concept of the centroid is prol lred fmilir to ou For plne shpe with n ovious geometric centre, (rectngle, circle) the centroid is t the centre f n re hs n is of smmetr, the
Total Score Maximum
Lst Nme: Mth 8: Honours Clculus II Dr. J. Bowmn 9: : April 5, 7 Finl Em First Nme: Student ID: Question 4 5 6 7 Totl Score Mimum 6 4 8 9 4 No clcultors or formul sheets. Check tht you hve 6 pges.. Find
Jackson 2.7 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell
Jckson.7 Homework Problem Solution Dr. Christopher S. Bird University of Msschusetts Lowell PROBLEM: Consider potentil problem in the hlf-spce defined by, with Dirichlet boundry conditions on the plne
Applications of Bernoulli s theorem. Lecture - 7
Applictions of Bernoulli s theorem Lecture - 7 Prcticl Applictions of Bernoulli s Theorem The Bernoulli eqution cn be pplied to gret mny situtions not just the pipe flow we hve been considering up to now.
4/3 directional high-response control valves, direct operated, with integrated control electronics (OBE)
4/3 directionl high-response control vlves, direct operted, with integrted control electronics (OE) RE 2967/11.5 Replces: 2.3 1/14 ype 4WRSE Sizes 6 nd 1 Series 3X Mximum operting pressure 315 r Mximum
1 Review: Volumes of Solids (Stewart )
Lecture : Some Bic Appliction of Te Integrl (Stewrt 6.,6.,.,.) ul Krin eview: Volume of Solid (Stewrt 6.-6.) ecll: we d provided two metod for determining te volume of olid of revolution. Te rt w by dic
4/3 directional high-response control valves, direct operated, with integrated control electronics (OBE)
Courtesy of CM/Flodyne/Hydrdyne Motion Control Hydrulic neumtic Electricl Mechnicl (8) 426-548 www.cmfh.com 4/3 directionl high-response control vlves, direct operted, with integrted control electronics
ragsdale (zdr82) HW2 ditmire (58335) 1
rgsdle (zdr82) HW2 ditmire (58335) This print-out should hve 22 questions. Multiple-choice questions my continue on the next column or pge find ll choices before nswering. 00 0.0 points A chrge of 8. µc
Chapter 1 VECTOR ALGEBRA
Chpter 1 VECTOR LGEBR INTRODUCTION: Electromgnetics (EM) m be regrded s the stud of the interctions between electric chrges t rest nd in motion. Electromgnetics is brnch of phsics or electricl engineering
T 1 T 2 T 3 T 4 They may be illustrated by triangular patterns of numbers (hence their name) as shown:
TOPIC 3: VISUAL EXPLANATIONS (PROOFS) (Pge references to Proof re to Bndll, P R et l, Proof in Mthemtics, KMEP, 2002). 3. The tringulr numbers form the sequence, 3, 6, 0,, 2,... T T 2 T 3 T 4 The m be
BME 207 Introduction to Biomechanics Spring 2018
April 6, 28 UNIVERSITY O RHODE ISAND Deprtment of Electricl, Computer nd Biomedicl Engineering BME 27 Introduction to Biomechnics Spring 28 Homework 8 Prolem 14.6 in the textook. In ddition to prts -e,
A little harder example. A block sits at rest on a flat surface. The block is held down by its weight. What is the interaction pair for the weight?
Neton s Ls of Motion (ges 9-99) 1. An object s velocit vector v remins constnt if nd onl if the net force cting on the object is zero.. hen nonzero net force cts on n object, the object s velocit chnges.
KINETICS OF RIGID BODIES PROBLEMS
KINETICS OF RIID ODIES PROLEMS PROLEMS 1. The 6 kg frme C nd the 4 kg uniform slender br of length l slide with negligible friction long the fied horizontl br under the ction of the 80 N force. Clculte
0, i.e. forces act in the same direction. , i.e. forces act in opposite direction. The resultant of two forces is closer to the larger force.
Sttics. Introduction. Sttics is tt brnc of mecnics wic dels wit te study of te system of forces in equilibrium. Mtter : Mtter is nyting wic cn be perceived by our senses of wic cn exert, or be cted on,
Section - 2 MORE PROPERTIES
LOCUS Section - MORE PROPERTES n section -, we delt with some sic properties tht definite integrls stisf. This section continues with the development of some more properties tht re not so trivil, nd, when
l 2 p2 n 4n 2, the total surface area of the
Week 6 Lectures Sections 7.5, 7.6 Section 7.5: Surfce re of Revolution Surfce re of Cone: Let C be circle of rdius r. Let P n be n n-sided regulr polygon of perimeter p n with vertices on C. Form cone
Calculus - Activity 1 Rate of change of a function at a point.
Nme: Clss: p 77 Mths Helper Plus Resource Set. Copright 00 Bruce A. Vughn, Techers Choice Softwre Clculus - Activit Rte of chnge of function t point. ) Strt Mths Helper Plus, then lod the file: Clculus
Measuring Electron Work Function in Metal
n experiment of the Electron topic Mesuring Electron Work Function in Metl Instructor: 梁生 Office: 7-318 Emil: shling@bjtu.edu.cn Purposes 1. To understnd the concept of electron work function in metl nd
Some Methods in the Calculus of Variations
CHAPTER 6 Some Methods in the Clculus of Vritions 6-. If we use the vried function ( α, ) α sin( ) + () Then d α cos ( ) () d Thus, the totl length of the pth is d S + d d α cos ( ) + α cos ( ) d Setting
Physics 121 Sample Common Exam 1 NOTE: ANSWERS ARE ON PAGE 8. Instructions:
Physics 121 Smple Common Exm 1 NOTE: ANSWERS ARE ON PAGE 8 Nme (Print): 4 Digit ID: Section: Instructions: Answer ll questions. uestions 1 through 16 re multiple choice questions worth 5 points ech. You
Time : 3 hours 03 - Mathematics - March 2007 Marks : 100 Pg - 1 S E CT I O N - A
Time : hours 0 - Mthemtics - Mrch 007 Mrks : 100 Pg - 1 Instructions : 1. Answer ll questions.. Write your nswers ccording to the instructions given below with the questions.. Begin ech section on new
RGMIA Research Report Collection, Vol. 1, No. 1, SOME OSTROWSKI TYPE INEQUALITIES FOR N-TIME DIFFERENTIA
ttp//sci.vut.edu.u/rgmi/reports.tml SOME OSTROWSKI TYPE INEQUALITIES FOR N-TIME DIFFERENTIABLE MAPPINGS AND APPLICATIONS P. CERONE, S.S. DRAGOMIR AND J. ROUMELIOTIS Astrct. Some generliztions of te Ostrowski
15 - TRIGONOMETRY Page 1 ( Answers at the end of all questions )
- TRIGONOMETRY Pge P ( ) In tringle PQR, R =. If tn b c = 0, 0, then Q nd tn re the roots of the eqution = b c c = b b = c b = c [ AIEEE 00 ] ( ) In tringle ABC, let C =. If r is the inrdius nd R is the
potentials A z, F z TE z Modes We use the e j z z =0 we can simply say that the x dependence of E y (1)
3e. Introduction Lecture 3e Rectngulr wveguide So fr in rectngulr coordintes we hve delt with plne wves propgting in simple nd inhomogeneous medi. The power density of plne wve extends over ll spce. Therefore
Stress distribution in elastic isotropic semi-space with concentrated vertical force
Bulgrin Chemicl Communictions Volume Specil Issue pp. 4 9 Stress distribution in elstic isotropic semi-spce with concentrted verticl force L. B. Petrov Deprtment of Mechnics Todor Kbleshkov Universit of
Consider a function f we ll specify which assumptions we need to make about it in a minute. Let us reformulate the integral. 1 f(x) dx.
Capter 2 Integrals as sums and derivatives as differences We now switc to te simplest metods for integrating or differentiating a function from its function samples. A careful study of Taylor expansions
pancakes. A typical pancake also appears in the sketch above. The pancake at height x (which is the fraction x of the total height of the cone) has
Volumes One can epress volumes of regions in tree dimensions as integrals using te same strateg as we used to epress areas of regions in two dimensions as integrals approimate te region b a union of small,
Sample Exam 5 - Skip Problems 1-3
Smple Exm 5 - Skip Problems 1-3 Physics 121 Common Exm 2: Fll 2010 Nme (Print): 4 igit I: Section: Honors Code Pledge: As n NJIT student I, pledge to comply with the provisions of the NJIT Acdemic Honor
A-Level Mathematics Transition Task (compulsory for all maths students and all further maths student)
A-Level Mthemtics Trnsition Tsk (compulsory for ll mths students nd ll further mths student) Due: st Lesson of the yer. Length: - hours work (depending on prior knowledge) This trnsition tsk provides revision
Physics 2135 Exam 3 April 21, 2015
Em Totl hysics 2135 Em 3 April 21, 2015 Key rinted Nme: 200 / 200 N/A Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the best or most nerly correct nswer. 1. C Two long stright
#6A&B Magnetic Field Mapping
#6A& Mgnetic Field Mpping Gol y performing this lb experiment, you will: 1. use mgnetic field mesurement technique bsed on Frdy s Lw (see the previous experiment),. study the mgnetic fields generted by
This chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2
1 Direct vrition 2 Inverse vrition This chpter will show you how to solve prolems where two vriles re connected y reltionship tht vries in direct or inverse proportion Direct proportion Inverse proportion
4/3, 4/2 and 3/2 directional valve with fluidic actuation
4/3, 4/2 nd 3/2 directionl vlve with fluidic ctution RE 22282/04.10 Replces: 08.08 1/12 ype W, WH Size 6 Component series 6X (W), 5X (WH) Mximum operting pressure 315 r [4569 psi] Mximum flow 60 l/min
Physics 1402: Lecture 7 Today s Agenda
1 Physics 1402: Lecture 7 Tody s gend nnouncements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW ssignments, solutions etc. Homework #2: On Msterphysics tody: due Fridy Go to msteringphysics.com Ls:
Mathematics Extension 2
S Y D N E Y B O Y S H I G H S C H O O L M O O R E P A R K, S U R R Y H I L L S 005 HIGHER SCHOOL CERTIFICATE TRIAL PAPER Mthemtics Extension Generl Instructions Totl Mrks 0 Reding Time 5 Minutes Attempt
Maths in Motion. Theo de Haan. Order now: 29,95 euro
Mths in Motion Theo de Hn Order now: www.mthsinmotion.org 9,95 euro Cover Design: Drwings: Photogrph: Printing: Niko Spelbrink Lr Wgterveld Mrijke Spelbrink Rddrier, Amsterdm Preview: Prts of Chpter 6,
APPLICATIONS OF DEFINITE INTEGRALS
Chpter 6 APPICATIONS OF DEFINITE INTEGRAS OVERVIEW In Chpter 5 we discovered the connection etween Riemnn sums ssocited with prtition P of the finite closed intervl [, ] nd the process of integrtion. We
3.1 Exponential Functions and Their Graphs
. Eponentil Functions nd Their Grphs Sllbus Objective: 9. The student will sketch the grph of eponentil, logistic, or logrithmic function. 9. The student will evlute eponentil or logrithmic epressions.
Chapters 4 & 5 Integrals & Applications
Contents Chpters 4 & 5 Integrls & Applictions Motivtion to Chpters 4 & 5 2 Chpter 4 3 Ares nd Distnces 3. VIDEO - Ares Under Functions............................................ 3.2 VIDEO - Applictions
TRANSVERSE VIBRATION OF A BEAM VIA THE FINITE ELEMENT METHOD Revision E
RANSVERSE VIBRAION OF A BEAM VIA HE FINIE ELEMEN MEHOD Revision E B om Irvine Emil: tomirvine@ol.com November 8 8 Introuction Mn structures re too complex for nlsis vi clssicl meto. Close-form solutions
Eigen Values and Eigen Vectors of a given matrix
Engineering Mthemtics 0 SUBJECT NAME SUBJECT CODE MATERIAL NAME MATERIAL CODE : Engineering Mthemtics I : 80/MA : Prolem Mteril : JM08AM00 (Scn the ove QR code for the direct downlod of this mteril) Nme
CET MATHEMATICS 2013
CET MATHEMATICS VERSION CODE: C. If sin is the cute ngle between the curves + nd + 8 t (, ), then () () () Ans: () Slope of first curve m ; slope of second curve m - therefore ngle is o A sin o (). The
Module 1. Energy Methods in Structural Analysis
Module 1 Energy Methods in Structurl Anlysis Lesson 4 Theorem of Lest Work Instructionl Objectives After reding this lesson, the reder will be ble to: 1. Stte nd prove theorem of Lest Work.. Anlyse stticlly
Chapter 5 Bending Moments and Shear Force Diagrams for Beams
Chpter 5 ending Moments nd Sher Force Digrms for ems n ddition to illy loded brs/rods (e.g. truss) nd torsionl shfts, the structurl members my eperience some lods perpendiculr to the is of the bem nd will