6 Muchina uri nyore (Inclined plane Lever) - Matambudziko nemhinduro
1.
Ndeipi ndege yakakotama ine mukana wakafanana wemakanika
A. (1) na (2)
B. (1) uye (3)
C. (2) na (3)
D. (2) uye (4)
mhinduro
TNdege yakatsamira ndeimwe yemichina iri nyore. Michina yakatsamira zvishandiso zvinobatsira vanhu kuita basa. Ndege yakatsamira inoshandiswa kuita kuti zvive nyore kuti vanhu vasimudze chinhu kusvika pakakwirira.
Tmukana wemakanika we ndege yakatsamira ndiko kuenzanisa kureba kwenzvimbo yekutsamira nekukwirira kwenzvimbo yekutsamira.
Kubatsira kwemuchina kwepl yakatsamiraini 1 = 50 cm / 30 cm = 5/3
Zvakanakira zvemuchina zvendege yakatsvedza 2 = 5 cm / 4 cm = 5/4
Zvakanakira zvemuchina zvendege yakatsvedza 3 = 50 cm / 40 cm = 5/4
Zvakanakira zvemuchina zvendege yakatsvedza 4 = 5 cm / 3 cm = 5/3
2.
Kureba AB = BC = CD = DE, sarudza simba rekuisa izvo zvinofanirwa kupihwa padanho E kuitira kuti pave nechinhu chakaringana.
Zvinozivikanwa:
AB = BC = CD = DE = l
Daro riri pakati pesimba rinobuda nechikamu chesimba (a) = l
Kureba pakati pesimba rekuisa nechikamu chemagetsi (b) = 3l
Simba rekuburitsa (w) = 900 Newton
Zvaidiwa: Simba (F)
Solution:
Kubatsira kwemuchina:
MA = b / a = 3l/l = 3
Hukuru hwesimba:
MA = w / F
F = w / MA
F = 900 Newtons / 3
F = 300 Newton
3.
Ikuti lever ive yakaenzana ipapo sarudza hukuru hwe its simba rekuisa.
mhinduro
Sarudza daro riri pakati pesimba rekuisa nechikamu chesimba (b)
Zvinozivikanwa:
Dmusiyano uripo pakati pesimba rinobuda uye fulcrum (a) = 25 cm
Simba rekuburitsa (w) = 480 Newton
Simba rekuisa (F) = 160 N
Zvaidiwa: The daro riri pakati pesimba rekupinda uye fulcrum (b)
Solution:
Kubatsira kwemuchina:
MA = w / F = 480 N / 160 N = 3
The daro riri pakati pesimba rekupinda uye fulcrum (b)
MA = b / a
3 = b / 25cm
b = (3)(25 cm)
b = 75 masendimita
Sarudza hukuru hwesimba (F)
Zvinozivikanwa:
Dmusiyano uripo pakati pesimba rinobuda uye fulcrum (a) = 25 cm – 10 cm = 15 cm
Kurema kwechinhu (w) = 480 Newton
Dmusiyano uripo pakati pesimba rekupinda nechikamu chesimba (b) = 75 cm
Zvaidiwa: Simba rekuisa (F)
Solution:
Kubatsira kwemuchina:
MA = b / a
MA = 75 cm / 15 cm
MA = 5
Hukuru hwesimba (F):
MA = w / F
F = w / MA
F = 480 Newtons / 5
F = 96 Newton
IKana lever iri panzvimbo yakaenzana, simba rekupinda rinoderedzwa ne64 Newtons (160 N - 96 N).
4. Chiyero chehurefu hwa a na b mumufananidzo uri pazasi ndeche a: b = 1: 2.2. Kukosha kushoma kwesimba F rekusimudza chinhu B nehuremu hwe330 Newtons ndi…. Newton
A. 100
B. 150
C. 2200
D. 7260
Zvinozivikanwa:
mufambo pakati simba rekuburitsa uye fulcrum (a= = 1
Daro riri pakati pesimba rekupinda uye fulcrum (b) = 2.2
uremu (w) = 330 Newton
Zvaidiwa: Simba rekuisa (F)
Solution:
Zvakanakira zvemuchina we lever:
MA = w / F = b / a
MA = michina mukana, w = huremu, F = simba rekuisa, b = chinhambwe chiri pakati pesimba rekuisa uye fulcrum, a = chinhambwe chiri pakati simba rekuburitsa uye fulcrum
w / F = b / ivo
330 / F = 2.2 / 1
330 / F = 2.2
330 / 2.2 = F
F = 150 Newton
Mhinduro chaiyo ndeiyi B.
5Mudzidzi anosunda chinhu nesimba raF kubva panzvimbo A kuenda panzvimbo B, sezvakaratidzwa mumufananidzo uri pazasi. Kana kukweshera pakati pechinhu nenguruve, zvinoonekwa kuti zvinobatsira sei.
A. 4
B. 5/3
C. 5/4
D. ¾
Zvinozivikanwa:
Kureba kwenzvimbo yakatsamira (y) = mamita mana - mamita 1 = mamita matatu
Kureba kwendege yakatwasuka (x) = mamita mana
Kuda: Kubatsira kwemuchina (MA)
Solution:
Verenga hurefu hwendege yakatsamira uchishandisa equation ye pythagoras :
R = √32+42 = √9+16 = √25 = mamita mashanu
Zvakanakira zvemuchina zvendege yakatsamira:
KM = R / y
KM = mamita mashanu / mamita matatu
KM = 5/3
Mhinduro chaiyo ndeiyi B.
6. Kubatsira kwemuchina we lever kunogona kuwedzerwa ne…
A. Pfupisa nzira yekurerekera
B. kuwedzera kona yekurerekera
C. kuderedza kona yekurerekera
D. inoderedza simba rinoshandiswa kufambisa zvinhu
Solution:
Kuenzanisa kwekubatsira kwemuchina kwendege yakatsamira:
Kubatsira kwemuchina = kureba kwendege yakatsamira/kukwirira kwendege yakatsamira
- Kubatsira kwemuchina kunoenderana zvakananga nehurefu hwendege yakatsamira uye nokudaro mukana wemuchina unowedzera kana hurefu hwendege yakatsamira hukawedzerwa.
- Kubatsira kwemuchina kunoenderana nekukwirira kwendege yakakombama, saka, mukana wemuchina unodzikira kana kukwirira kwendege yakakombama kwakawedzerwa uye mukana wemuchina ukawedzerwa kana kukwirira kwendege yakakombama kwadzikira.
- Kana kona ikaderedzwa, kukwirira kwenzvimbo yakatsamira kunodzikira. Kubudirira kwemuchina kunowedzerwa kana kukwirira kwenzvimbo yakatsamira kukadzikira. Saka kana kona ikaderedzwa, mukana wemuchina unowedzerwa.
Kana kona ikakura, kukwirira kwenzvimbo yakatsamira kunowedzera. Kubudirira kwemuchina kunoderera kana kukwirira kwenzvimbo yakatsamira kukawedzera. Saka kana kona ikakura, mukana wemuchina unoderera.
Mhinduro chaiyo ndeinoti C.
