CONTRIBUTIONS TO THE THEORETICAL STUDY OF THE PRECISION SOWING MACHINES DYNAMICS
|
|
|
- Mitchell Harvey
- 5 years ago
- Views:
Transcription
1 COTIBUTIOS TO THE THEOETICAL STUDY O THE PECISIO SOWI MACHIES DYAMICS S. O. Oi nd S. Poecu Atct: In the e e eoted the equivent dynmic mode nd min mthemtic mode of the eede unit of eciion owing mchine ccoding to the couing to the fme mechnim tye, ocitoy od mechnim, ocitoy eogm mechnim, nce mechnim nd ncing m mechnim. The dynmic nd mthemtic mode which e ceted ow the detemintion y ccuu (comute imution) of the gound nom ection uon the comction whee we of othe dynmic nd kinemtic mete of the woking ytem fo the nyzed owing ection. Key wod: eciion eede, dynmic mode, mthemtic mode, oi ection, wok tiity ITODUCTIO The min cheme of the eede unit fo eciion owing mchine e hown in figue, fo which thee wi e mde dynmic nd mthemtic mode futhe on in ide unning condition, on hoizont tein t contnt eed, in ode to etih the mete on which thei tiity deend duing the woking oce. ig.. The min cheme of the eede unit fo eciion owing mchine: with ocitoy nd djuting woking deth whee; with eogm mechnim nd djute etting whee; c with nce eve tye; d with ocitoy m. MATEIAL AD METHODS. Dynmic nd mthemtic modeing of the mechnim with ocitoy nd djuting woking deth whee om the kinemtic nd dynmic oint of view thi tye of eede unit (fig. ) eeent tht ocite ound the joint O, woking deth eing djuted y men of the djuting whee fo woking deth (tht otte ound O 4 nd diu ). uthe on thi ocitoy thee i the joined fok of the etting whee, which i eticy foced ound the joint O with the moment M in the diection of inceing nom ection etween the etting whee nd the oi t. In ode to detemine the nom ection of the oi uon the ettement whee t., we wite the equiiium eqution of the moment egding joint O, negecting the oing eitnce moment M, ( it i vey m), hence it eut:
2 () ( ) t h [( h ) ] M ( in co ). ig.. Dynmic mode of the eede unit equied with the ocitoy nd djuting woking deth whee. It i noticed tht the tiity of the ytem on the oi ( 0) deend oth on the dvncing eitnce of the he tht incee with the woking deth nd tend to ie the ocitoy nd the etic moment M, which tend to ie the he fom the oi.. Dynmic nd mthemtic modeing of the eede unit with eogm mechnim nd djute etting whee (ig. ) om the kinemtic oint of view thi tye of eede unit eeent fme on which the etting whee i fixed (djute veticy) nd eectivey t the othe extemity of the kte tye he. The fme i tied y men of the tie O O nd eectivey O O 4 kinemtic eement, which e ticuted to the eede fme nd t the fme of the eede unit, thu eizing defome eogm mechnim. The kinemtic eement O O nd O O 4 e of the me ength nd incintion to the hoizont of the ce, defined y nge β. Becue the necey tction foce (doe not e on the cheme) i t X X X X 4 nd in ode the ection to e tiony cught in the fme of the mchine, it i necey tht X X nd it eut tht X X 4 we. Thu, fte tnfomtion, the nom ection uon the etting whee ecome: () ( ) h [( / ) ( ) ] ( / )( h h )( in ) in 4 It i noticed the deendence of the nom ection on the etic foce, given y the ytem of ing, we y the eitnce to dvncing of the he, which, t it tun, deend on the woking deth.
3 ig.. Dynmic mode of the of eede unit with eogm mechnim nd djute etting whee. Dynmic nd mthemtic modeing of the eede unit with nce eve The nce eve tye eede unit with nce eve mechnim (ig.4) eeent uoted y two whee whee in font nd the econd whee ehind, which in mot itution h the oe of etting whee. On the fme of the eede unit, etween the two whee, thee i kte tye he, joined togethe with it, whee t the me time it i ticuted oth with the tie (joint O ) tht eve oth to the tction of the ection nd the ing ytem tht ovide uementy foce, of etic ntue, necey fo inceing the contct eue etween the whee nd the oi necey condition in ode to hve continuity of the oing, tht i the contnt deth of eeding, we the unifom etting of the ow of eed. ig.4. Dynmic mode of the eede unit equied with the nce eve tye. In ode to exe the nom ection of the oi uon the whee, we wite the equiiium eqution of the moment, egding the contct oint etween the whee nd the oi A nd B eectivey. Thu, fte tnfomtion, it eut:
4 ( ) ( ) ( ) [ ] ( ) ( ) / co co in (), whence it eut tht the nom ection of the oi uon the font whee incee togethe with the foce in the ing ytem nd decee togethe with the eitnce to dvncing of the he, eectivey the woking deth nd o decee when the tction foce incee. Simiy, fom the equiiium eqution of the moment egding contct oint B ( M B 0) etween the font whee nd the oi it i detemined y the nom ection of the oi uon the ck whee B,which in the mjoity of ce i o the etting whee: ( ) ( ) ( ) [ ] ( ) ( ) / co co in (4) om the ove etionhi it eut tht the ection of the oi uon the etting whee incee with the weight of the whee nd of the eed ox nd with own weight of the kte we with the etic foce in the ing nd decee togethe with the wok eitnce of the he (theefoe with the eeding deth ) nd with the tction foce tnmitted in the ticuted tie in the couing O 4 nd O. 4. Dynmic nd mthemtic modeing of the eede unit with ocitoy m ig.. The dynmic mode the eede unit with ocitoy m
5 The eede unit with ocitoy m eeent n m () ticuted in the eede fme, which ocite ound the ticution oint O nd i uoted y the oi of uot (etting) whee in oint A (ig.). If i negected the oing eitnce moment M of the etting whee (it vue e m) nd fte tnfomtion in the equiiium eqution, eut the ection on the etting whee : O ( h h ) ( h h ) O O O f h O f h O O in O O co M O ( f h ) O d h O () It my e noticed tht the fit tem i oitive, o the foce, S, nd z (whee z in) od the uoting (etting) whee, nd the econd tem (y the foce,, T nd (whee COCLUSIOS d x co ) tend to unod thi whee. x. om the kinemtic oint of view, the high eciion eede unit my e conideed mechnim, utined on uot whee oing on oi. In ode fo the dynmic nd mthemtic modeing to e cied out, the eede unit mut e educed to ticu ce of ime mechnim.. o n efficient oetion of eede unit duing the woking oce, it i necey fo the uot whee to emnenty ty in contct with the oi. Thu, it i eenti to etih the mthemtic etion of how the oi ct uon the whee thee unit e utined on.. Stting fom the mthemtic etion tht how how the oi ct uon the uot whee of the eede unit, we cn nyze the deendence of the oi contct oce on the contuctive nd function mete of eede unit. EEECES []. Oiş, O.S., Poecu, S. eeche concening the dming of vetic ocition of the wok unit of the eciion eeding mchine fo imoving the eeding mete. In: Poceeding of the Intention Confeence eech Peoe nd Actu Tk on Mutidiciiny Science June 007, Lozenec, Bugi, Vo., []. Poecu, S., Oiş S. Mşini de emănt de ecizie. Pocee de ucu, contucţie şi exote. În: Mecnize Agicutuii, 007, n., [4]. Soucek,., Piig,. Mchinen und eäte fü Bodeneeitung, Düngung und Aut. Veg Technik mh, Bein, 990. ABOUT THE AUTHOS S. O. Oi, Ph D, Tnivni Univeity of Bov, Bdu Eoio 9, 0006 Bov, omni, E-mi: ondo7000@yhoo.com S. Poecu, Ph D, Pofeo, Tnivni Univeity of Bov Bdu Eoio 9, 0006 Bov, omni, E-mi: imio8@yhoo.com
Assistant Professor: Zhou Yufeng. N , ,
Aitnt Pofeo: Zhou Yufeng N3.-0-5, 6790-448, yfzhou@ntu.edu.g http://www3.ntu.edu.g/home/yfzhou/coue.html . A pojectile i fied t flling tget hown. The pojectile lee the gun t the me intnt tht the tget dopped
Dynamically Equivalent Systems. Dynamically Equivalent Systems. Dynamically Equivalent Systems. ME 201 Mechanics of Machines
ME 0 Mechnics of Mchines 8//006 Dynmicy Equivent Systems Ex: Connecting od G Dynmicy Equivent Systems. If the mss of the connecting od m G m m B m m m. Moment out cente of gvity shoud e zeo m G m B Theefoe;
defined on a domain can be expanded into the Taylor series around a point a except a singular point. Also, f( z)
08 Tylo eie nd Mcluin eie A holomophic function f( z) defined on domin cn be expnded into the Tylo eie ound point except ingul point. Alo, f( z) cn be expnded into the Mcluin eie in the open dik with diu
DYNAMICS OF UNIFORM CIRCULAR MOTION
Chapte 5 Dynamics of Unifom Cicula Motion Chapte 5 DYNAMICS OF UNIFOM CICULA MOTION PEVIEW An object which is moing in a cicula path with a constant speed is said to be in unifom cicula motion. Fo an object
+ r Position Velocity
1. The phee P tel in tight line with contnt peed of =100 m/. Fo the intnt hown, detemine the coeponding lue of,,,,, eltie to the fixed Ox coodinte tem. meued + + Poition Velocit e 80 e 45 o 113. 137 d
Satellite Orbits. Orbital Mechanics. Circular Satellite Orbits
Obitl Mechnic tellite Obit Let u tt by king the quetion, Wht keep tellite in n obit ound eth?. Why doen t tellite go diectly towd th, nd why doen t it ecpe th? The nwe i tht thee e two min foce tht ct
Section 26 The Laws of Rotational Motion
Physics 24A Class Notes Section 26 The Laws of otational Motion What do objects do and why do they do it? They otate and we have established the quantities needed to descibe this motion. We now need to
Chapter 5. really hard to start the object moving and then, once it starts moving, you don t have to push as hard to keep it moving.
Chapte 5 Fiction When an object is in motion it is usually in contact with a viscous mateial (wate o ai) o some othe suface. So fa, we have assumed that moving objects don t inteact with thei suoundings
Rotations 2D & 3D, & about arbitrary axis. Rotation is linear (as in figure)
Rottion D & 3D, & bout bit i Rottion i line in figue ot b ot ot b ot α α ot b b ot b otb ot Deiing Rottion Mti in D Rottion Mti in D, continued D Rottion Mti, concluion Rottion 3D, ound,, e co in in co
. Using our polar coordinate conversions, we could write a
504 Chapte 8 Section 8.4.5 Dot Poduct Now that we can add, sutact, and scale vectos, you might e wondeing whethe we can multiply vectos. It tuns out thee ae two diffeent ways to multiply vectos, one which
π,π is the angle FROM a! TO b
Mth 151: 1.2 The Dot Poduct We hve scled vectos (o, multiplied vectos y el nume clled scl) nd dded vectos (in ectngul component fom). Cn we multiply vectos togethe? The nswe is YES! In fct, thee e two
4.2 Boussinesq s Theory. Contents
00477 Pvement Stuctue 4. Stesses in Flexible vement Contents 4. Intoductions to concet of stess nd stin in continuum mechnics 4. Boussinesq s Theoy 4. Bumiste s Theoy 4.4 Thee Lye System Weekset Sung Chte
Physics Courseware Physics II Electric Field and Force
Physics Cousewae Physics II lectic iel an oce Coulomb s law, whee k Nm /C test Definition of electic fiel. This is a vecto. test Q lectic fiel fo a point chage. This is a vecto. Poblem.- chage of µc is
Unit 6 Practice Test. Which vector diagram correctly shows the change in velocity Δv of the mass during this time? (1) (1) A. Energy KE.
Unit 6 actice Test 1. Which one of the following gaphs best epesents the aiation of the kinetic enegy, KE, and of the gaitational potential enegy, GE, of an obiting satellite with its distance fom the
Impulse and Momentum
Impule and Momentum 1. A ca poee 20,000 unit of momentum. What would be the ca' new momentum if... A. it elocity wee doubled. B. it elocity wee tipled. C. it ma wee doubled (by adding moe paenge and a
Physics Spring 2012 Announcements: Mar 07, 2012
Physics 00 - Sping 01 Announcements: Ma 07, 01 HW#6 due date has been extended to the moning of Wed. Ma 1. Test # (i. Ma ) will cove only chaptes 0 and 1 All of chapte will be coveed in Test #4!!! Test
10.2 Parametric Calculus
10. Paametic Calculus Let s now tun ou attention to figuing out how to do all that good calculus stuff with a paametically defined function. As a woking eample, let s conside the cuve taced out by a point
U>, and is negative. Electric Potential Energy
Electic Potentil Enegy Think of gvittionl potentil enegy. When the lock is moved veticlly up ginst gvity, the gvittionl foce does negtive wok (you do positive wok), nd the potentil enegy (U) inceses. When
Physics 2A Chapter 10 - Moment of Inertia Fall 2018
Physics Chapte 0 - oment of netia Fall 08 The moment of inetia of a otating object is a measue of its otational inetia in the same way that the mass of an object is a measue of its inetia fo linea motion.
- 5 - TEST 1R. This is the repeat version of TEST 1, which was held during Session.
- 5 - TEST 1R This is the epeat vesion of TEST 1, which was held duing Session. This epeat test should be attempted by those students who missed Test 1, o who wish to impove thei mak in Test 1. IF YOU
Parametric Methods. Autoregressive (AR) Moving Average (MA) Autoregressive - Moving Average (ARMA) LO-2.5, P-13.3 to 13.4 (skip
Pmeti Methods Autoegessive AR) Movig Avege MA) Autoegessive - Movig Avege ARMA) LO-.5, P-3.3 to 3.4 si 3.4.3 3.4.5) / Time Seies Modes Time Seies DT Rdom Sig / Motivtio fo Time Seies Modes Re the esut
(a) Unde zeo-bias conditions, thee ae no lled states on one side of the junction which ae at the same enegy as the empty allowed states on the othe si
1 Esaki Diode hen the concentation of impuity atoms in a pn-diode is vey high, the depletion laye width is educed to about 1 nm. Classically, a caie must have an enegy at least equal to the potential-baie
VECTOR MECHANICS FOR ENGINEERS: STATICS
4 Equilibium CHAPTER VECTOR MECHANICS FOR ENGINEERS: STATICS Fedinand P. Bee E. Russell Johnston, J. of Rigid Bodies Lectue Notes: J. Walt Ole Texas Tech Univesity Contents Intoduction Fee-Body Diagam
Unit 6 Practice Test. Which vector diagram correctly shows the change in velocity Δv of the mass during this time? (1) (1) A. Energy KE.
Unit 6 actice Test 1. Which one of the following gaphs best epesents the aiation of the kinetic enegy, KE, and of the gaitational potential enegy, GE, of an obiting satellite with its distance fom the
Optimization. x = 22 corresponds to local maximum by second derivative test
Optimiztion Lectue 17 discussed the exteme vlues of functions. This lectue will pply the lesson fom Lectue 17 to wod poblems. In this section, it is impotnt to emembe we e in Clculus I nd e deling one-vible
Basic propositional and. The fundamentals of deduction
Baic ooitional and edicate logic The fundamental of deduction 1 Logic and it alication Logic i the tudy of the atten of deduction Logic lay two main ole in comutation: Modeling : logical entence ae the
Potential Energy and Conservation of Energy
Potential Enegy and Consevation of Enegy Consevative Foces Definition: Consevative Foce If the wok done by a foce in moving an object fom an initial point to a final point is independent of the path (A
ELECTROSTATICS. 4πε0. E dr. The electric field is along the direction where the potential decreases at the maximum rate. 5. Electric Potential Energy:
LCTROSTATICS. Quntiztion of Chge: Any chged body, big o smll, hs totl chge which is n integl multile of e, i.e. = ± ne, whee n is n intege hving vlues,, etc, e is the chge of electon which is eul to.6
Lecture 3.7 ELECTRICITY. Electric charge Coulomb s law Electric field
Lectue 3.7 ELECTRICITY Electic chage Coulomb s law Electic field ELECTRICITY Inteaction between electically chages objects Many impotant uses Light Heat Rail tavel Computes Cental nevous system Human body
Quality control. Final exam: 2012/1/12 (Thur), 9:00-12:00 Q1 Q2 Q3 Q4 Q5 YOUR NAME
Qulity contol Finl exm: // (Thu), 9:-: Q Q Q3 Q4 Q5 YOUR NAME NOTE: Plese wite down the deivtion of you nswe vey clely fo ll questions. The scoe will be educed when you only wite nswe. Also, the scoe will
COLD STRANGLING HOLLOW PARTS FORCES CALCULATION OF CONICAL AND CONICAL WITH CYLINDRICAL COLLAR
COLD STANGLING HOLLOW PATS OCES CALCULATION O CONICAL AND CONICAL WITH CYLINDICAL COLLA Lucian V. Sevein, Taian Lucian Sevein,, Stefan cel Mae Univesity of Suceava, aculty of Mechanical Engineeing, Mechatonics
10 Statistical Distributions Solutions
Communictions Engineeing MSc - Peliminy Reding 1 Sttisticl Distiutions Solutions 1) Pove tht the vince of unifom distiution with minimum vlue nd mximum vlue ( is ) 1. The vince is the men of the sques
IMPACT OF THE TRACKED VEHICLE TURNING MECHANISM ON THE ENGINE POWER REQUIRED IN TURN
1st Intenational Confeence on Advanced Technologies fo Develoing Counties Setembe 12-1, 2002 Slavonski od, Coatia IPACT OF THE TACKED VEHICLE TUNING ECHANIS ON THE ENGINE POWE EQUIED IN TUN V. Stojković,
PHYSICS 151 Notes for Online Lecture 2.6
PHYSICS 151 Note fo Online Lectue.6 Toque: The whole eaon that we want to woy about cente of ma i that we ae limited to lookin at point mae unle we know how to deal with otation. Let eviit the metetick.
Magnetic Field. Conference 6. Physics 102 General Physics II
Physics 102 Confeence 6 Magnetic Field Confeence 6 Physics 102 Geneal Physics II Monday, Mach 3d, 2014 6.1 Quiz Poblem 6.1 Think about the magnetic field associated with an infinite, cuent caying wie.
Describing Circular motion
Unifom Cicula Motion Descibing Cicula motion In ode to undestand cicula motion, we fist need to discuss how to subtact vectos. The easiest way to explain subtacting vectos is to descibe it as adding a
Section 25 Describing Rotational Motion
Section 25 Decibing Rotational Motion What do object do and wh do the do it? We have a ve thoough eplanation in tem of kinematic, foce, eneg and momentum. Thi include Newton thee law of motion and two
FREE Download Study Package from website: &
.. Linea Combinations: (a) (b) (c) (d) Given a finite set of vectos a b c,,,... then the vecto xa + yb + zc +... is called a linea combination of a, b, c,... fo any x, y, z... R. We have the following
Physics 101 Lecture 6 Circular Motion
Physics 101 Lectue 6 Cicula Motion Assist. Pof. D. Ali ÖVGÜN EMU Physics Depatment www.aovgun.com Equilibium, Example 1 q What is the smallest value of the foce F such that the.0-kg block will not slide
to point uphill and to be equal to its maximum value, in which case f s, max = μsfn
Chapte 6 16. (a) In this situation, we take f s to point uphill and to be equal to its maximum value, in which case f s, max = μsf applies, whee μ s = 0.5. pplying ewton s second law to the block of mass
3.1 Magnetic Fields. Oersted and Ampere
3.1 Mgnetic Fields Oested nd Ampee The definition of mgnetic induction, B Fields of smll loop (dipole) Mgnetic fields in mtte: ) feomgnetism ) mgnetiztion, (M ) c) mgnetic susceptiility, m d) mgnetic field,
PHYS Summer Professor Caillault Homework Solutions. Chapter 5
PHYS 1111 - Summe 2007 - Pofesso Caillault Homewok Solutions Chapte 5 7. Pictue the Poblem: The ball is acceleated hoizontally fom est to 98 mi/h ove a distance of 1.7 m. Stategy: Use equation 2-12 to
10 m, so the distance from the Sun to the Moon during a solar eclipse is. The mass of the Sun, Earth, and Moon are = =
Chpte 1 nivesl Gvittion 11 *P1. () The un-th distnce is 1.4 nd the th-moon 8 distnce is.84, so the distnce fom the un to the Moon duing sol eclipse is 11 8 11 1.4.84 = 1.4 The mss of the un, th, nd Moon
Gravity. David Barwacz 7778 Thornapple Bayou SE, Grand Rapids, MI David Barwacz 12/03/2003
avity David Bawacz 7778 Thonapple Bayou, and Rapid, MI 495 David Bawacz /3/3 http://membe.titon.net/daveb Uing the concept dicued in the peceding pape ( http://membe.titon.net/daveb ), I will now deive
Rotational Motion: Statics and Dynamics
Physics 07 Lectue 17 Goals: Lectue 17 Chapte 1 Define cente of mass Analyze olling motion Intoduce and analyze toque Undestand the equilibium dynamics of an extended object in esponse to foces Employ consevation
SOUND PROPAGATION IN A REGION OF HOT GAS USING THE DRBEM. Rafael Piscoya. Martin Ochmann
V in Autli 9- July 7 OUND POPAGATON N A EGON OF HOT GA UNG THE DBEM el Picoy. Mtin Ochmnn Univeity o Alied cience Belin Detment o Mthemtic Phyic - hemity Luembue t. 3353 Belin Gemny icoy@th-belin.de Abtct
Precision Spectrophotometry
Peciion Spectophotomety Pupoe The pinciple of peciion pectophotomety ae illutated in thi expeiment by the detemination of chomium (III). ppaatu Spectophotomete (B&L Spec 20 D) Cuvette (minimum 2) Pipet:
Polar Coordinates. a) (2; 30 ) b) (5; 120 ) c) (6; 270 ) d) (9; 330 ) e) (4; 45 )
Pola Coodinates We now intoduce anothe method of labelling oints in a lane. We stat by xing a oint in the lane. It is called the ole. A standad choice fo the ole is the oigin (0; 0) fo the Catezian coodinate
4. Two and Three Dimensional Motion
4. Two and Thee Dimensional Motion 1 Descibe motion using position, displacement, elocity, and acceleation ectos Position ecto: ecto fom oigin to location of the object. = x i ˆ + y ˆ j + z k ˆ Displacement:
Physics 111 Lecture 5 Circular Motion
Physics 111 Lectue 5 Cicula Motion D. Ali ÖVGÜN EMU Physics Depatment www.aovgun.com Multiple Objects q A block of mass m1 on a ough, hoizontal suface is connected to a ball of mass m by a lightweight
Chapter 6. NEWTON S 2nd LAW AND UNIFORM CIRCULAR MOTION. string
Chapte 6 NEWTON S nd LAW AND UNIFORM CIRCULAR MOTION 103 PHYS 1 1 L:\103 Phy LECTURES SLIDES\103Phy_Slide_T1Y3839\CH6Flah 3 4 ting Quetion: A ball attached to the end of a ting i whiled in a hoizontal
The Area of a Triangle
The e of Tingle tkhlid June 1, 015 1 Intodution In this tile we will e disussing the vious methods used fo detemining the e of tingle. Let [X] denote the e of X. Using se nd Height To stt off, the simplest
Phys102 Second Major-182 Zero Version Monday, March 25, 2019 Page: 1
Monday, Mach 5, 019 Page: 1 Q1. Figue 1 shows thee pais of identical conducting sphees that ae to be touched togethe and then sepaated. The initial chages on them befoe the touch ae indicated. Rank the
Chapter 6. NEWTON S 2nd LAW AND UNIFORM CIRCULAR MOTION
Chapte 6 NEWTON S nd LAW AND UNIFORM CIRCULAR MOTION Phyic 1 1 3 4 ting Quetion: A ball attached to the end of a ting i whiled in a hoizontal plane. At the point indicated, the ting beak. Looking down
Chapter 7. Kleene s Theorem. 7.1 Kleene s Theorem. The following theorem is the most important and fundamental result in the theory of FA s:
Chpte 7 Kleene s Theoem 7.1 Kleene s Theoem The following theoem is the most impotnt nd fundmentl esult in the theoy of FA s: Theoem 6 Any lnguge tht cn e defined y eithe egul expession, o finite utomt,
ψ - exponential type orbitals, Frictional
ew develoment in theoy of Laguee olynomial I. I. Gueinov Deatment of Phyic, Faculty of At and Science, Onekiz Mat Univeity, Çanakkale, Tukey Abtact The new comlete othonomal et of L -Laguee tye olynomial
Voltage ( = Electric Potential )
V-1 of 10 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage
Motion along curved path *
OpenStax-CNX module: m14091 1 Motion along cuved path * Sunil Kuma Singh This wok is poduced by OpenStax-CNX and licensed unde the Ceative Commons Attibution License 2.0 We all expeience motion along a
Sections and Chapter 10
Cicula and Rotational Motion Sections 5.-5.5 and Chapte 10 Basic Definitions Unifom Cicula Motion Unifom cicula motion efes to the motion of a paticle in a cicula path at constant speed. The instantaneous
(a) Counter-Clockwise (b) Clockwise ()N (c) No rotation (d) Not enough information
m m m00 kg dult, m0 kg bby. he seesw stts fom est. Which diection will it ottes? ( Counte-Clockwise (b Clockwise ( (c o ottion ti (d ot enough infomtion Effect of Constnt et oque.3 A constnt non-zeo toque
Physics 4A Chapter 8: Dynamics II Motion in a Plane
Physics 4A Chapte 8: Dynamics II Motion in a Plane Conceptual Questions and Example Poblems fom Chapte 8 Conceptual Question 8.5 The figue below shows two balls of equal mass moving in vetical cicles.
Cross section dependence on ski pole sti ness
Coss section deendence on ski ole sti ness Johan Bystöm and Leonid Kuzmin Abstact Ski equiment oduce SWIX has ecently esented a new ai of ski oles, called SWIX Tiac, which di es fom conventional (ound)
13.10 Worked Examples
13.10 Woked Examples Example 13.11 Wok Done in a Constant Gavitation Field The wok done in a unifom gavitation field is a faily staightfowad calculation when the body moves in the diection of the field.
Electrostatics (Electric Charges and Field) #2 2010
Electic Field: The concept of electic field explains the action at a distance foce between two chaged paticles. Evey chage poduces a field aound it so that any othe chaged paticle expeiences a foce when
Chapter 11 Exercise 11A. Exercise 11B. Q. 1. (i) = 2 rads (ii) = 5 rads (iii) 15 = 0.75 rads. Q. 1. T = mv2 r = 8(25) (iv) 11 = 0.
Chpte Execise A Q.. (i) 0 0 = ds (ii) 00 0 = ds (iii) = 0.7 ds 0 (iv) = 0. ds 0 Q.. (i) = cm (ii) 0.8 = cm (iii). = 6 cm (iv).7 = 8. cm Q.. =. = cm Q.. =.07 =. cm.8 Q.. Angu speed = 8 =.8 ds/sec 0 Q. 6.
Week 8. Topic 2 Properties of Logarithms
Week 8 Topic 2 Popeties of Logithms 1 Week 8 Topic 2 Popeties of Logithms Intoduction Since the esult of ithm is n eponent, we hve mny popeties of ithms tht e elted to the popeties of eponents. They e
Data Structures. Element Uniqueness Problem. Hash Tables. Example. Hash Tables. Dana Shapira. 19 x 1. ) h(x 4. ) h(x 2. ) h(x 3. h(x 1. x 4. x 2.
Element Uniqueness Poblem Dt Stuctues Let x,..., xn < m Detemine whethe thee exist i j such tht x i =x j Sot Algoithm Bucket Sot Dn Shpi Hsh Tbles fo (i=;i
Language Processors F29LP2, Lecture 5
Lnguge Pocessos F29LP2, Lectue 5 Jmie Gy Feuy 2, 2014 1 / 1 Nondeteministic Finite Automt (NFA) NFA genelise deteministic finite utomt (DFA). They llow sevel (0, 1, o moe thn 1) outgoing tnsitions with
7.5-Determinants in Two Variables
7.-eteminnts in Two Vibles efinition of eteminnt The deteminnt of sque mti is el numbe ssocited with the mti. Eve sque mti hs deteminnt. The deteminnt of mti is the single ent of the mti. The deteminnt
Handout: IS/LM Model
Econ 32 - IS/L odel Notes Handout: IS/L odel IS Cuve Deivation Figue 4-4 in the textbook explains one deivation of the IS cuve. This deivation uses the Induced Savings Function fom Chapte 3. Hee, I descibe
F g. = G mm. m 1. = 7.0 kg m 2. = 5.5 kg r = 0.60 m G = N m 2 kg 2 = = N
Chapte answes Heinemann Physics 4e Section. Woked example: Ty youself.. GRAVITATIONAL ATTRACTION BETWEEN SMALL OBJECTS Two bowling balls ae sitting next to each othe on a shelf so that the centes of the
CHAPTER (6) Biot-Savart law Ampere s Circuital Law Magnetic Field Density Magnetic Flux
CAPTE 6 Biot-Svt w Ampee s Ciuit w Mgneti Fied Densit Mgneti Fu Soues of mgneti fied: - Pemnent mgnet - Fow of uent in ondutos -Time ving of eeti fied induing mgneti fied Cuent onfigutions: - Fiment uent
Chapter 5 Force and Motion
Chapte 5 Foce and Motion In chaptes 2 and 4 we have studied kinematics i.e. descibed the motion of objects using paametes such as the position vecto, velocity and acceleation without any insights as to
6.4 Period and Frequency for Uniform Circular Motion
6.4 Peiod and Fequency fo Unifom Cicula Motion If the object is constained to move in a cicle and the total tangential foce acting on the total object is zeo, F θ = 0, then (Newton s Second Law), the tangential
= ρ. Since this equation is applied to an arbitrary point in space, we can use it to determine the charge density once we know the field.
Gauss s Law In diffeentia fom D = ρ. ince this equation is appied to an abita point in space, we can use it to detemine the chage densit once we know the fied. (We can use this equation to ve fo the fied
$ i. !((( dv vol. Physics 8.02 Quiz One Equations Fall q 1 q 2 r 2 C = 2 C! V 2 = Q 2 2C F = 4!" or. r ˆ = points from source q to observer
Physics 8.0 Quiz One Equations Fall 006 F = 1 4" o q 1 q = q q ˆ 3 4" o = E 4" o ˆ = points fom souce q to obseve 1 dq E = # ˆ 4" 0 V "## E "d A = Q inside closed suface o d A points fom inside to V =
A NEW VARIABLE STIFFNESS SPRING USING A PRESTRESSED MECHANISM
Poceedings of the ASME 2010 Intenational Design Engineeing Technical Confeences & Computes and Infomation in Engineeing Confeence IDETC/CIE 2010 August 15-18, 2010, Monteal, Quebec, Canada DETC2010-28496
Centripetal Force OBJECTIVE INTRODUCTION APPARATUS THEORY
Centipetal Foce OBJECTIVE To veify that a mass moving in cicula motion expeiences a foce diected towad the cente of its cicula path. To detemine how the mass, velocity, and adius affect a paticle's centipetal
anubhavclasses.wordpress.com CBSE Solved Test Papers PHYSICS Class XII Chapter : Electrostatics
CBS Solved Test Papes PHYSICS Class XII Chapte : lectostatics CBS TST PAPR-01 CLASS - XII PHYSICS (Unit lectostatics) 1. Show does the foce between two point chages change if the dielectic constant of
Chapter 5 Force and Motion
Chapte 5 Foce and Motion In Chaptes 2 and 4 we have studied kinematics, i.e., we descibed the motion of objects using paametes such as the position vecto, velocity, and acceleation without any insights
2 Governing Equations
2 Govening Equations This chapte develops the govening equations of motion fo a homogeneous isotopic elastic solid, using the linea thee-dimensional theoy of elasticity in cylindical coodinates. At fist,
Electrostatics. 1. Show does the force between two point charges change if the dielectric constant of the medium in which they are kept increase?
Electostatics 1. Show does the foce between two point chages change if the dielectic constant of the medium in which they ae kept incease? 2. A chaged od P attacts od R whee as P epels anothe chaged od
BEAM DIAGRAMS AND FORMULAS. Nomenclature
BEA DIAGAS AND FOULAS Nomencture E = moduus of esticity of stee t 9,000 ksi I = moment of inerti of em (in. 4 ) L = tot ength of em etween rection points (ft) m = mimum moment (kip-in.) = mimum moment
EN40: Dynamics and Vibrations. Midterm Examination Thursday March
EN40: Dynamics and Vibations Midtem Examination Thusday Mach 9 2017 School of Engineeing Bown Univesity NAME: Geneal Instuctions No collaboation of any kind is pemitted on this examination. You may bing
PHYS 1441 Section 002. Lecture #3
PHYS 1441 Section 00 Chapte 1 Lectue #3 Wednesday, Sept. 6, 017 Coulomb s Law The Electic Field & Field Lines Electic Fields and Conductos Motion of a Chaged Paticle in an Electic Field Electic Dipoles
TRANSILVANIA UNIVERSITY OF BRASOV MECHANICAL ENGINEERING FACULTY DEPARTMENT OF MECHANICAL ENGINEERING ONLY FOR STUDENTS
TNSILVNI UNIVSITY OF BSOV CHNICL NGINING FCULTY DPTNT OF CHNICL NGINING Couse 9 Cuved as 9.. Intoduction The eams with plane o spatial cuved longitudinal axes ae called cuved as. Thee ae consideed two
Physics 11 Chapter 4: Forces and Newton s Laws of Motion. Problem Solving
Physics 11 Chapte 4: Foces and Newton s Laws of Motion Thee is nothing eithe good o bad, but thinking makes it so. William Shakespeae It s not what happens to you that detemines how fa you will go in life;
7.2.1 Basic relations for Torsion of Circular Members
Section 7. 7. osion In this section, the geomety to be consideed is that of a long slende cicula ba and the load is one which twists the ba. Such poblems ae impotant in the analysis of twisting components,
MAGNETIC FIELD INTRODUCTION
MAGNETIC FIELD INTRODUCTION It was found when a magnet suspended fom its cente, it tends to line itself up in a noth-south diection (the compass needle). The noth end is called the Noth Pole (N-pole),
ELECTROSTATICS::BHSEC MCQ 1. A. B. C. D.
ELETROSTATIS::BHSE 9-4 MQ. A moving electic chage poduces A. electic field only. B. magnetic field only.. both electic field and magnetic field. D. neithe of these two fields.. both electic field and magnetic
Example 2: ( ) 2. $ s ' 9.11" 10 *31 kg ( )( 1" 10 *10 m) ( e)
Emple 1: Two point chge e locted on the i, q 1 = e t = 0 nd q 2 = e t =.. Find the wok tht mut be done b n etenl foce to bing thid point chge q 3 = e fom infinit to = 2. b. Find the totl potentil eneg
Introduction to Mechanics Centripetal Force
Intoduction to Mechanics Centipetal Foce Lana heidan De Anza College Ma 9, 2016 Last time intoduced unifom cicula motion centipetal foce Oveview using the idea of centipetal foce Detemine (a) the astonaut
UNIT VII Central Force: Review Key
UNIT VII Centl oce: Review Key. Which of the following tteent e tue of n object oving in cicle t contnt peed? Include ll tht pply.. The object expeience foce which h coponent diected pllel to the diection
Chapters 5-8. Dynamics: Applying Newton s Laws
Chaptes 5-8 Dynamics: Applying Newton s Laws Systems of Inteacting Objects The Fee Body Diagam Technique Examples: Masses Inteacting ia Nomal Foces Masses Inteacting ia Tensions in Ropes. Ideal Pulleys
Solutions Practice Test PHYS 211 Exam 2
Solution Pactice Tet PHYS 11 Exam 1A We can plit thi poblem up into two pat, each one dealing with a epaate axi. Fo both the x- and y- axe, we have two foce (one given, one unknown) and we get the following
Physics: Work & Energy Beyond Earth Guided Inquiry
Physics: Wok & Enegy Beyond Eath Guided Inquiy Elliptical Obits Keple s Fist Law states that all planets move in an elliptical path aound the Sun. This concept can be extended to celestial bodies beyond
Uniform Circular Motion. Key Terms and Equations. Kinematics of UCM. Topics of Uniform Circular Motion (UCM) Kinematics of Uniform Circular Motion
opics of Unifom icu Motion (UM) Kinemtics of UM ick on the topic to go to tht section Unifom icu Motion 2009 b Goodmn & Zvootni Peiod, Fequenc, nd Rottion Veocit nmics of UM Vetic UM uckets of Wte Roecostes
Force can be exerted by direct contact between bodies: Contact Force.
Chapte 4, Newton s Laws of Motion Chapte IV NEWTON S LAWS OF MOTION Study of Dynamics: cause of motion (foces) and the esistance of objects to motion (mass), also called inetia. The fundamental Pinciples
PHYSICS 151 Notes for Online Lecture #20
PHYSICS 151 Notes fo Online Lectue #20 Toque: The whole eason that we want to woy about centes of mass is that we ae limited to looking at point masses unless we know how to deal with otations. Let s evisit
Week 10: DTMC Applications Ranking Web Pages & Slotted ALOHA. Network Performance 10-1
Week : DTMC Alictions Rnking Web ges & Slotted ALOHA etwok efonce - Outline Aly the theoy of discete tie Mkov chins: Google s nking of web-ges Wht ge is the use ost likely seching fo? Foulte web-gh s Mkov