Masika motsatizana ndi motsatizana - mavuto ndi mayankho

Springs motsatizana ndi motsatizana - mavuto ndi mayankho

1. Chinthu cha magalamu 160 chimamangiriridwa kumapeto kwa kasupe ndipo kusintha kwa kutalika kwa kasupe ndi masentimita 4. Kodi kusintha kwa kutalika kwa zitatu ndi kotani? akasupe olumikizidwa motsatizana komanso motsatizana, monga momwe zasonyezedwera pachithunzi chili pansipa?

Zodziwika:

Kusintha kwa kutalika kwa kasupe (Δx) = 4 cm = 0.04 m Ma springs otsatizana ndi ofanana - mavuto ndi mayankho 1

Misa (m) = magalamu 160 = 0.16 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Kunenepa (w) = mg = (0.16)(10) = 1.6 Newtons

Akufuna: Kusintha kwa kutalika kwa masipu ang'onoang'ono atatu (Δx)

Yankho:

Chiyerekezo cha Lamulo la Hooke :

k = w / Δx = 1.6 / 0.04 = 40 N/m

Masipu ang'onoang'ono atatuwa ali ndi mphamvu yofanana, k = 40 N/m.

Dziwani chokhazikika chofanana:

Kasupe 2 (k₂) ndi kasupe 3 (k₃) tare yolumikizidwa motsatizana. Chosasintha chofanana :

k₂₃ = k₂ +k₃ = 40 + 40 = 80 N/m

Kasupe 1 (k₁) ndi kasupe 23 (k₂₃) zimalumikizidwa motsatizana. Chosasintha chofanana :

1/k = 1/k₁ + 1/k₂₃ = 1/40 + 1/80 = 2/80 + 1/80 = 3/80

k = 80/3

Dziwani kusintha kwa kutalika kwa masipule atatu:

Δx = w / k = 1.6 : 80/3 = (1.6)(3/80) = 4.8 / 80 = 0.06 m = 6 cm

2. Ma spring atatu okhala ndi nthawi yofanana yolumikizidwa motsatizana komanso motsatizana, ndi chinthu cholemera makilogalamu awiri chomwe chalumikizidwa kumapeto kwa kasupe, monga momwe zasonyezedwera pachithunzi pansipa. Chokhazikika cha kasupe ndi k₁= k₂ = k₃= 300 N/m. Kodi kusintha kwa kutalika kwa masipule atatu ndi kotani? Kuthamanga chifukwa cha mphamvu yokoka ndi g = 10 ms^-2.

Zodziwika:

Chokhazikika cha masika k₁= k₂ = k₃= 300 Nm^-1

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 ms^-2

Kulemera kwa chinthu (m) = 2 kg

Kulemera kwa chinthu (w) = mg = (2)(10) = 20 Newtons

Onaninso Lamulo la Kirchhoff - mavuto ndi mayankho

Akufuna: Kusintha kwa kutalika kwa akasupe atatu (Δx)

Yankho:

Dziwani chokhazikika chofanana:

Kasupe 1 (k₁) ndi kasupe 2 (k₂) zimalumikizidwa motsatizana. Chosasinthika chofanana :

k₁₂ = k₁ +k₂ = 300 + 300 = 600 N/m

Kasupe 3 (k₃) ndi kasupe 12 (k₁₂) zimalumikizidwa motsatizana. Chosasintha chofanana :

1/k = 1/k₃ + 1/k₁₂ = 1/300 + 1/600 = 2/600 + 1/600 = 3/600

k = 600/3 = 200 N/m

Dziwani kusintha kwa kutalika kwa akasupe atatu:

Δx = w / k = 20/200 = 2/20 = 1/10 = 0.1 m

3. Masiponji atatu alumikizidwa motsatizana komanso motsatizana, monga momwe chithunzi chili pansipa chikusonyezera. Ngati siponji yokhazikika k = 50 Nm^-1 ndi kulemera kwa magalamu 400 komwe kumangiriridwa kumapeto kwa kasupe. Kodi kusintha kwa kutalika kwa kasupe atatuwo ndi kotani?

Zodziwika:

Chokhazikika cha masika 1 (k)₁) = k = 50 Nm^-1

Chokhazikika cha masika 2 (k)₂) = k = 50 Nm^-1

Chokhazikika cha masika 3 (k)₃) = 2k = 2 (50 Nm^-1) = 100 Nm^-1

Kulemera kwa chinthu (m) = 400 magalamu = 0.4 kg

Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Kulemera kwa chinthu (w) = mg = (0.4)(10) = 4 Newtons

Akufuna: Kusintha kwa kutalika (Δx)

Yankho:

Dziwani chokhazikika chofanana:

Kasupe 1 (k₁) ndi kasupe 2 (k₂) zimalumikizidwa motsatizana. Chosasinthika chofanana :

k₁₂ = k₁ +k₂ = 50 + 50 = 100 N/m

Kasupe 3 (k₃) ndi kasupe 12 (k₁₂) zimalumikizidwa motsatizana. Chosasintha chofanana :

1/k = 1/k₃ + 1/k₁₂ = 1/100 + 1/100 = 2/100

k = 100/2 = 50 N/m

Dziwani kusintha kwa kutalika kwa akasupe atatu:

Δx = w / k = 4 / 50 = = 0.08 m = 8 cm

Kodi kuphatikiza masika mu mndandanda kumakhudza bwanji nthawi yonse ya masika?
- Yankho: Akasupe akaphatikizidwa motsatizana, nthawi yonse ya masika imachepa. Kubwerezabwereza kwa nthawi yofanana ya masika ndi chiwerengero cha kubwerezabwereza kwa nthawi imodzi ya masika: 1/k $= 1/ k ^{1} + 1/ k ^{2}$ .
Kodi nthawi zonse masika amasintha bwanji akasupe akaphatikizidwa pamodzi?
- Yankho: Kuphatikiza masika nthawi imodzi kumapangitsa kuti masika onse akhale okhazikika, omwe ndi chiwerengero cha masika onse: k $= k_{1} + k_{2}$ .

Ngati masika awiri ofanana akonzedwa motsatizana, kodi masika ophatikizana amafanana bwanji ndi masika ophatikizana a masika amodzi?
- Yankho: Kasupe wokhazikika pamodzi udzakhala theka la kasupe wokhazikika wa kasupe mmodzi payekha.

Kodi chimachitika ndi chiyani ndi kutambasuka kapena kupsinjika kwa ma springi motsatizana pamene mphamvu ikugwiritsidwa ntchito?
- Yankho: Pa masipure omwe ali mumndandanda, mphamvu yomweyo imapangitsa kasupe aliyense kufalikira kapena kuponderezedwa, koma kufalikira konse (kapena kuponderezedwa) ndi chiwerengero cha kufalikira (kapena kuponderezedwa) kwa masipure pawokha.

Ngati masika omwe ali pafupi akukumana ndi mphamvu, mphamvuyo imagawidwa bwanji?
- Yankho: Pa masipure omwe ali pamodzi, mphamvu imagawidwa pakati pa masipure kutengera ma spring constant awo. Masipure omwe ali ndi spring constant yapamwamba amakhala ndi mphamvu yayikulu kuposa omwe ali ndi spring constant yotsika.
N’chifukwa chiyani masika omwe ali m’gulu limodzi angaganizidwe ngati kasupe mmodzi wokhala ndi kutalika kwakutali?
- Yankho: Masiponji otsatizana amakhala ndi zotsatira zofanana ndi kutambasula kasupe mmodzi wautali. Kutambasula kapena kukanikiza kwa masiponji pawokha kumawonjezeka, monga momwe zimakhalira mu kasupe wina wautali.

Kodi mphamvu zomwe zimasungidwa m'masipule motsatizana zimafanana bwanji ndi mphamvu zomwe zimasungidwa m'masipule motsatizana ndi mphamvu yomweyo yomwe imagwiritsidwa ntchito?
- Yankho: Masipiringi omwe ali mumndandanda amasunga mphamvu zambiri kuposa masipiringi omwe amagwiritsidwa ntchito nthawi imodzi chifukwa amakumana ndi kufalikira kapena kupsinjika kwakukulu.
Ngati imodzi mwa ma springi omwe ali mu kasinthidwe kofanana yasweka kapena yakhala yosagwira ntchito, kodi chimachitika ndi chiyani ku machitidwe onse a dongosololi?
- Yankho: Ngati kasupe mmodzi wokhazikika pamodzi wasweka, masupe ena onse adzagwirabe ntchito. Komabe, kasupe wonse wokhazikika wa dongosololi udzachepa, ndipo dongosololi silidzatha kugwiritsa ntchito mphamvu zambiri zobwezeretsa monga kale.

N’chifukwa chiyani ma spring otsatizana amakhala osavuta kusinthasintha kwakukulu kuposa omwe ali ofanana ndi mphamvu yomweyi?
- Yankho: Pa masipu ang'onoang'ono otsatizana, mphamvu yomweyo imagwira ntchito pa masipu onse, zomwe zimapangitsa kuti aliyense atambasulidwe kapena kupanikizika. Kusintha konsekonse ndi kuchuluka kwa kusintha kulikonse. Mofananamo, mphamvuyo imagawidwa pakati pa masipu, kotero aliyense amakhala ndi mphamvu yogwira ntchito yochepa, zomwe zimapangitsa kuti kusintha pang'ono kulikonse kukhale kochepa.
Mu ntchito zothandiza, n’chifukwa chiyani mainjiniya angasankhe kugwiritsa ntchito masipiringi motsatizana m’malo motsatizana?

Yankho: Mainjiniya angasankhe masipenji nthawi imodzi kuti akwaniritse kukhazikika kwapamwamba kwa masika, zomwe zimapangitsa kuti akhale olimba. Kukhazikitsa kumeneku kungaperekenso kubwerezabwereza; ngati kasupe mmodzi walephera, makinawo amapitiliza kugwira ntchito, ngakhale kuti kukhazikika kwa masika konse kwachepa.