Muenzaniso wezvitubu zvakatevedzana

4 Mienzaniso yezvirongwa zvemwaka wechirimo

1. Masipiringi mashanu, rimwe nerimwe rine simba risingaperi re200 N/m, akarongwa akatevedzana. Chimiro chakafanana chechirimo chegadziriro yechirimo ndeichi…

Kukurukurirana
Zvinozivikanwa kuti:
Chimiro chenguva dzose chechirimo (k)₁ = k₂ = k₃ = k₄ = k₅) = 200 N/m
Yakabvunzwa: chitubu chinotsiva chinogara kwenguva refu (k)
Mhinduro:

Chigadziko chechitubu chinotsiva :
1/k = 1/k₁ + 1/k₂ + 1/k₃ + 1/k₄ + 1/k₅
1/k = 1/200 + 1/200 + 1/200 + 1/200 + 1/200
1/k = 5/200
k = 200/5
k = 40 Newton/mita

2. Masipiresi maviri akarongwa sezvakaratidzwa pazasi. Masipiresi ese ane k isingachinji₁ = 200 N/m uye k₂ = 300 N/m. Huremu hwe2 kg hunorembera kubva muchitubu. Kana kukurumidza kunokonzerwa nekukwevera pasi kuri 10 m/s² ipapo kuwedzera kwehurefu hwemusangano wechirimo...
Kukurukurirana

Zvinozivikanwa kuti:
Chitubu chinogara kwenguva refu 1 (k)₁) = 200 N/m
Chitubu chinogara kwenguva refu 2 (k)₂) = 300 N/m
Huremu hwemutoro (m) = 2 kg
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Kurema kwemutoro (w) = mg = (2)(10) = 20 Newtons
Akabvunzwa: kuwedzera kureba kurongeka kwezvikamu zvechitubu (x)
Mhinduro:
Chigadziko chechitubu chinotsiva :
1/k = 1/k₁ + 1/k₂
1/k = 1/200 + 1/300 = 3/600 + 2/600 = 5/600
k = 600/5
k = 120 Newton/mita
Kuwedzera kwenguva yekuungana kwechirimo :
x = F / k = w / k
x = 20 / 120
x = 1/6 mita
Kuwedzera kwehurefu hwegadziriro yechitubu ndiko kuwedzera kwehurefu hwese hwezvitubu zvitatu.

3. Zvitubu zvitatu zvakafanana zvakarongwa sezvakaratidzwa pazasi. Huremu hweNewton hunosvika 15 hunorembera kubva kumucheto wezasi wezvitubu, zvichiita kuti sisitimu yezvitubu irebe ne5 cm. Chimiro chechitubu chechitubu chimwe nechimwe…
Kukurukurirana
Zvinozivikanwa kuti:
Kurema kwemutoro (w) = 15 Newtons
Kuwedzera kwehurefu hwechikamu chechirimo = 5 cm = 0,05 metres
Akabvunzwa: chisingaperi chechirimo chega chega
Mhinduro:
Hitung kchitubu chinotsiva chinogara kwenguva refu uchishandisa fomura Mutemo waHooke :
k = F / x = w / x
k = 15 / 0,05
k = 300 Newton/mita
Chinogara chiripo chechirimo chega chega :
1/k = 1/k₁ + 1/k₂ + 1/k₃
1/300 = 1/k + 1/k + 1/k
1/300 = 3/k
k = (3)(300)
k = zana
k = 900 N/m
Masipiringi matatu akafanana saka ane ma constant akafanana. Constant yechirimo 1 (k)₁) = chitubu chisingachinji 2 (k)₂) = chitubu chisingachinji 3 (k)₃) = 900 Newton/mita

4. Masipiringi matatu rimwe nerimwe rine chinhu chisingachinji k yakarongwa zvakatevedzana. Chitubu chakabatanidzwa chinogara chiripo…
A. 1/5 k
B. 1/4 k
C. 1/3 k
D. 1/2 k
E. k
Kukurukurirana:

Fomura yenguva dzose yechirimo yekuronga nhevedzano :
1 / k_p = 1/k + 1/k + 1/k
Chitubu chakabatanidzwa chinogara kwenguva refu :
1 / k_p = 3/k
k_p = k/3 = 1/3 k
Mhinduro chaiyo ndiC.