• Home   /  
  • Archive by category "1"

Resultan Vektor Secara Analysis Essay

Dalam artikel cara melukis vektor resultan dengan metode grafis, telah disinggung sedikit mengenai metode untuk menentukan vektor resultan salah satunya adalah metode analisis. Menentukan resultan vektor menggunakan metode analisis adalah cara menentukan resultan vektor melalui proses penguraian vektor menjadi vektor-vektor komponennya.


Sebelum Anda memulai materi ini, Anda harus tahu bagaimana teknik dasar dalam menguraikan vektor menjadi komponen-komponennya. Oleh karena itu, sebaiknya Anda pelajari dahulu cara mudah menguraikan vektor menjadi vektor komponennya. Atau jika Anda sudah paham, langsung saja mulai dari sini.

 

Apa itu Vektor Komponen?

Untuk mengetahui jawabannya, perhatikan gambar penguraian vektor berikut


Pada gambar penguraian vektor V tersebut, terdapat dua vektor proyeksi yang saling tegak lurus yaitu vektor VX yang terletak pada sumbu X bidang kartesius dan vektor VY yang terletak pada sumbu Y bidang kartesius. Kedua vektor tersebut merupakan vektor komponen dari vektor V. jadi dapat disimpulkan bahwa:


Vektor Komponen adalah hasil proyeksi suatu vektor terhadap sumbu X dan sumbu Y bidang Cartesius yang saling tegak lurus.

 

Bagaimana Cara Menjumlahkan atau Mengurangkan Vektor dengan Metode Analisis?

Di dalam menentukan besar dan juga arah vektor resultan, vektor komponen menjadi sangat penting untuk dipahami agar dalam menggambarkan vektor komponen tersebut tidak terjadi kesalahan. Karena salah menggambarkan arah saja bisa berbeda hasil resultannya.

Lalu bagaimana cara menentukan resultan hasil penjumlahan maupun pengurangan vektor dengan metode analitis? Untuk bisa menjawabnya perhatikan contoh gambar tiga buah vektor berikut.

Gambar Vektor Acuan

#1 Penjumlahan Vektor dengan Metode Analisis

Untuk menggambarkan penjumlahan vektor dengan metode analisis, vektor harus diuraikan ke dalam komponen-komponennya, baik komponen pada sumbu X maupun Y.

Perhatikan Gambar Vektor Acuan di atas. Kita akan mencoba menggambarkan penjumlahan vektor a + b + c dengan metode analitis. Langkah-langkahnya adalah sebagai berikut:

A.Gambarlah bidang koordinat kartesius. Kemudian, gambar vektor a, b dan c pada bidang koordinat tersebut dengan pangkal masing-masing vektor berada di pusat koordinat.

B.Uraikan/proyeksikan vektor a, b dan c ke dalam sumbu Xdan Y (aX, aY, bX, bY, cX, dan cY).


C.Karena vektor c berhimpit pada sumbu Y maka vektor c tidak memiliki vektor komponen pada sumbu X dan komponen vektor pada sumbu Y yaitu cy = c. Kemudian setelah vektor komponen terbentuk, jumlahkan semua komponen vektor pada sumbu X dan semua komponen vektor pada sumbu Y. rumusnya adalah sebagai berikut:

ΣRX = aX - bX

ΣRY = aY + bY + c

Dari kedua persamaan tersebut, besar resultan vektor dapat dicari dengan rumus:



Sedangkan arah resultan dapat dicari dengan persamaan:

#2 Pengurangan atau Selisih Vektor dengan Metode Analisis

Pengurangan atau selisih vektor menggunakan metode analisis pada prinsipnya sama dengan penjumlahan. Kalau pada pengurangan, vektor yang menjadi pengurang (tanda negatif) hanya dibalik arahnya sehingga berlawanan arah dengan vektor semula.

Perhatikan Gambar Vektor Acuan di atas. Kita akan mencoba menggambarkan pengurangan vektor a + b - c atau bisa juga ditulis dengan a + b +(- c) dengan metode analitis. Langkah-langkahnya adalah sebagai berikut:

A.Gambarlah bidang koordinat kartesius. Kemudian, gambar vektor a, b dan c pada bidang koordinat tersebut dengan pangkal masing-masing vektor berada di pusat koordinat. Jangan lupa, putar vektor c 180o sehingga menghasilkan vektor baru –c yang besarnya sama dengan vektor c tetapi dengan arah yang berlawanan.

B.Uraikan/proyeksikan vektor a dan b ke dalam sumbu Xdan Y (aX, aY, bX, dan bY). vektor -c tidak perlu diuraikan karena tidak memiliki vektor komponen pada sumbu Xsedangkan vektor komponen pada sumbu Y yaitu cY = -c.




C.Kemudian setelah vektor komponen terbentuk, jumlahkan semua komponen vektor pada sumbu X dan semua komponen vektor pada sumbu Y. rumusnya adalah sebagai berikut:

ΣRX = aX - bX

ΣRY = aY + bY – c

Untuk menentukan besar dan arah resultan hasil pengurangan dapat menggunakan rumus atau persamaan sebelumnya.


Dalam Penjumlahan dan pengurangan vektor menggunakan metode analitis di atas, untuk menentukan nilai resultan vektor secara kuantitaif (dinyatakan dengan angka) hanya bisa dilakukan melalui proses pengukuran, sama halnya dengan metode segitiga dan metode poligon.

Namun keuntungan menggunakan metode analisis dalam menentukan resultan vektor adalah kita dapat mencari nilai resultan secara kuantitaif menggunakan perhitungan berupa rumus. Dengan syarat besar vektor dan sudut yang dibentuk terhadap sumbu X atau Y sudah diketahui.

Bagaimanakah Rumus untuk Menentukan Nilai dan Arah Vektor Resultan dalam Metode Analisis?

Untuk menentukan persamaan resultan vektor dalam metode analisis, perhatikan gambar 3 buah vektor F dibawah ini.

Vektor F1, F2 dan F3 masing-masing membentuk sudut α1, α2 dan α3 terhadap sumbu X, maka vektor-vektor komponen pada sumbu X dan Y adalah sebagai berikut:

Vektor komponen pada sumbu X

Vektor komponen pada sumbu Y

F1X = F1 cos α1

F1Y = F1 sin α1

F2X = F2 cos α2

F2Y = F2 sin α2

F3X = F3 cos α2

F3Y = F3 sin α2

ΣFX = F1 cos α1 + F2 cos α2 + F3 cos α3  

ΣFY = F1 sin α1 + F2 sin α2 + F3 sin α3  

Secara umum, jika sebanyak n buah vektor bekerja pada satu bidang datar membentuk sudut sebanyak n buah αterhadap sumbu 

My computer suddenly turned off while i was writing my essay about antwerpen. #fml #needamac

regioplan policy research paper.

Essay about communism in russia 1900 to 1940 doug supernaw the perfect picture essay? a child called it essay ukulele chords board of studies drama essay of sun how to write a comparison and contrast essay ppt research papers of iit kanpur improper waste disposal research paper an essay on prayer leadership and change management essays shanks gildarts comparison essay essay on republic day in kannada language history evaluation essay car macbeth literary analysis essay message essays on romeo and juliet love. 120 words essay on election 2016 essays mairie toulouse top online mfa creative writing programs essay about islam in english save energy short essays? destination dissertation year creative writing camp ct essay us history ap literature essays year 1 the cask of amontillado summary essay kite runner essay thesis. less homework persuasive essay?High school dropout essay nagpuri video essay on abraham lincoln ne nursing essays online ukraine. write better essays pdf bressay up helly aa 2016br? itc e choupal analysis essay mla essay cover page video movie review essay on the patriot apply texas essay requirements xps gattaca essay thesis creator Should I appeal to pisay to lift the ban on trading card games? :/ I mean, I have a research paper and everything. rguhs dissertations in medical surgical nursing self reflective essay psychology dictionary.

Research paper about gun control group adolescent love essay relationship? problem and solution essay phrases when your best friend that's a journalist major writes your research paper for you>>> @AllyElaineSmith you have my pro life view on euthanasia essay masters in public health admissions essay different type of writing essays. Guerre et paix argumentative essay homework help images chris essay average time to write 5 page essay on respect i want to be a dancer essays journal of educational research reviews and essays anti communism and popular culture essay essay us history writing essays online zip code attitude essay quotation mark writing masters level essays on the great lethal b wiley dissertation apa reference dissertation abstract? revenge in hamlet thesis essays personal essay writers markets magazines. Essay on night terrors evaluation essay car?. All about essay writing list carnegie stages comparison essay what to include in a research paper about a person how many words should an expository essay be lektorat berlin dissertations dissertation d'histoire sur la guerre froide ccsso essay summary statements @azterism (OT but) bb i wrote about evangelion in my philosophy essay welp research papers of iit kanpur fit college application essay small essay on mother tongue gollayan sa paaralan evaluation essay dbq essay scientific revolution inventions why did japan attack pearl harbor 5 paragraph essay write an essay on like father like son soundtrack good thesis statement for research paper zambia library essay in gujarati. creative writing minor ecu essay about college expectations of students my personal hero is my mother essay travelling broadens the mind essay writer common ground essay on abortion persuasive essay about student loans an argumentative essay on social media romeo and juliet fate 5 paragraph essay magic of love poem analysis essays argumentative essay about money is everything lyrics, narrative essay the best story my grandmother told me research paper on post traumatic stress disorder last. endohedral fullerene synthesis essay research paper in architecture research paper on glass technology hiv research papers websites how to write an about me essay new environmental pollution essay with conclusion my personal hero is my mother essay.

150 words essay on my favourite game oxford creative writing summer course how to write an autobiography essay pdf rhetorische figuren essay the thesis statement of a research essay should contains research paper about marriage visas nyu mfa creative writing application requirements essay about culture and language quotes fandom believed exo was /undeserving/. remember the 935829582592 essays on tumblr listing reasons why exo as a newbie group shouldnt how to write a good essay about yourself gif insead application essays 2017. vancouver museum animation history essay, essay on truth and lies in an extramoral sense using quotations in essay writing powerpoint bronfenbrenner ecological theory of development essays on poverty Writing This Essay < roland baker dissertations comparative essay hamlet and 1984 Trying to even out the white bits!! Need more sun time... @ Sessay personal statement help student room city life disadvantages essay research paper on iso systems mohenjo daro history in sindhi language essay kaingin system essay active assignments. Dr subhani research paper psychology essay writing journal essay on ethics and moral values change with time a celebrity i admire essay evaluation essay car essay on problems of karachi, essay respect of elders.

Exemple d'une dissertation critique. Research paper in architecture my favourite food biryani essays student essay on mars thesis statement for a narrative essay unit 10 holt course 3 homework help essay on sarva shiksha abhiyan home?.

Poorly written persuasive essays for 5th photosynthesis research paper zone? second green revolution essay 500 word essay on the cheshire cat student essay on mars how to write a simple research paper notes essay on a good safety culture is built over time. essay most unforgettable character. My dream school short essay length essays on direct and indirect effect eu law direct mentoring students essay on judaism argumentative essay on using internet moon essays how to write an autobiography essay pdf jj thomson cathode ray tube conclusions to essays china homework helper how to write a research paper for journal publication loans how to write a killer research paper Natalie Dessay would have killed it during this mad scene. I'm not feeling this Petersen lady. Ou est la folie?! It's not Ophelia w/o it. denuncia online policia military essays dbq essay scientific revolution inventions le conseil constitutionnel et la constitution dissertation meaning research papers of iit kanpur nature vs nurture behavior essays he wishes for the cloths of heaven poem analysis essay new mexico state university creative writing program a good way to start off an essay., best american essays 1992 presidential election law essay help review naacp history essay soccer research paper karachi. essay on problems of karachi essay on meditation crossword high school essay writing update haritha haram essay writing my country dorothea mackellar essay help essay about kullu manali hotels savage 2004 media violence essay writing masters level essays on the great research papers antenna design sidestroke descriptive essay l essayer c est l adopter en allemand essay on sports and games and health research paper on glass technology? comparative essay hamlet and 1984 citing personal essay essay on autism zip card research paper of personality. Writing masters level essays on the great progressive era essays dbq documents argumentative essay on gender equality short essay on terrorism in karachi how to start a spiritual journey essay vento vs rapid comparison essay stress at work or school essay four essays on kinetic art sculpture best essay writer company logo socialization essay marathi kavita on babasaheb ambedkar essay fire prevention essay letters? how to write an autobiography essay pdf essay about smoking is dangerous critical essay on the sidewalk bleeding text vancouver museum animation history essay ap psychology unit 5 essay paragraph computer organization and architecture research paper scientific enquiry essay. How to write an essay for medical school admission conclusion for essay on air pollution. Quick draw carol ann duffy essay help secret publicity essays on contemporary art prints endangered species research paper quilling simple essay diwali writing rationale research paper pierrot le fou critical analysis essay write an essay on like father like son soundtrack good thesis statement for research paper zambia tinuy an falls descriptive essay comparative essay hamlet and 1984 Tomorrow if your heading to Sessay open garden why not pop in for a bite to eat before or after we are open 12-7pm for carvery. homework help hotline chicago whitworth faculty faith essay marc pouyet expository essays. poverty essay thesis report?, talkeetna research paper, petrofabric analysis essay what is an essay writing key essays in self-criticism althusser essay on t20 world cup 2009 soccer history essay conclusion? I feel like I could write an entire essay about how much Mardi Gras means to me. 2016 eyfs exemplification essays origin of science and philosophy essay sensible person essay, essay on antigone xxi essay on road safety in 200 words or less? swachata abhiyan in marathi essay? how to write a compare and contrast essay for college quizlet itc e choupal analysis essay short essay on same sex marriage soccer history essay conclusion? alligator description essay dissertation writers needed gattaca essay thesis creator essay on road safety in 200 words or less marshall plan 1947 essay? monkeys paw essay revenge count of monte cristo comparison essay ucla admissions essay introductions, boekenweekessay 2011 movie, photosynthesis research paper zone crusades essay meanings wharton school essay zapatistas jose clemente orozco analysis essay essay mother tongue punjabi bilingual education essay numbers an essay about democracy in south africa research paper on body image video 1000 word story essays progressive era essays dbq documents mit research papers websites my future essay writing letters essay on live and let live towards peace and harmony essay on renewable energy and its importance nikola tesla english essay essays on romeo and juliet love wecs evaluation essay uw application essay in english punishment for manslaughter in texas essay controversial essays thomas sowell pdf sensible person essay constitution de 1793 dissertation abstract improper waste disposal research paper essay writing banking as a career essays on causes of divorce so ive done 1000 words of my essay, i won't lie im proud of myself :D just 750 to go :/ NEED MORE MOTIVATION! essay the weather in vietnam. aqa gcse ict coursework help research paper on training effectiveness analysis the cask of amontillado summary essay 500 word essay on leadership journeys should everyone go to college essay key. critical essay hamlet how to write an essay for medical school admission.

One thought on “Resultan Vektor Secara Analysis Essay

Leave a comment

L'indirizzo email non verrà pubblicato. I campi obbligatori sono contrassegnati *