Kufamba kwemhepo - matambudziko nemhinduro

1. Chinhu chine denderedzwa risina chinhu (I = m R 2 ) chinotenderera chisina kutsvedza mudenga rakakombama rine kumhanya kwekutanga kwe10 m/s. Denga rakakombama rine kona yekukwira θ ine tan θ = 0.75. Kana kukurumidza kwegiravhiti g = 10 ms -2 , kumhanya kwechinhu kwaderedzwa kusvika 5 ms -1 saka daro riri padenga rakakombama rechinhu iri…

Zvinozivikanwa:

Nguva yekusashanda kwe silinda isina chinhu (I) = m R 2

Elevation angle = θ , apo tan θ = 0.75 = 75/100 = opp / adj

Chivi θ = opp / hyp = 75/125 = 3/5 = 0.6

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2

Kumhanya kwekutanga (v o ) = 10 m/s

Kumhanya kwekupedzisira (v t ) = 5 m/s

Zvaidiwa: mufambo Kufamba kwemuchina - matambudziko nemhinduro 1

Solution:

Verenga kukwirira kwasvikwa nesirinda uchishandisa equation yekuchengetedza simba remakanika.

Kufamba kwemuchina - matambudziko nemhinduro 2

Kureba kwekutanga (h o ) = 0 mamita

Kumhanya kwekutanga (v o ) = 10 m/s

Kumhanya kwekupedzisira (v t ) = 5 m/s

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2

Kufamba kwemuchina - matambudziko nemhinduro 3

Silinda inosvika kukwirira kwemamita 7.5.

Kureba kwakafambwa nesirinda:

Kufamba kwemuchina - matambudziko nemhinduro 4

Nhambwe inofambwa necylinder iyi i12.5 metres.

Mhinduro chaiyo ndeinoti A.

Tsananguro ye equation:

o = kutanga, t = yekupedzisira, ME = simba remakanika , PE = simba rinogona kuitika, KE = simba rekinetic , m = uremu , g = kukurumidza nekuda kwegiravhiti, h = kureba, v = kumhanya kwakatsetseka, ω = kumhanya kwekona , I = nguva yekusashanda, R = radius yesilinda

2. Silinda yakasimba (I = ½ m R 2 ) ine huremu hwe3 kg inofamba ichikunguruka isina kutsvedza ichikwira denderedzwa rakakombama rine kona yekukwira θ ine sin θ = 0.6. Kana kukurumidza kwegiravhiti g = 10 ms -2 uye kumhanya kwekutanga kwechinhu kuri 10 m/s, saka kureba kwedenderedzwa rakakombama rinofambwa nechinhu kuri…

Zvinozivikanwa:

Nguva yekusashanda kwe silinda yakasimba (I) = ½ m R 2

Huremu hwesirinda = 3 kg

Kumhanya kwekutanga (v o ) = 10 m/s

Kumhanya kwekupedzisira (v t ) = 0 m/s (chinhu chinomira)

Elevation angle ( θ ) = θ , apo chivi θ = 0.6 = 6/10 = opp/hyp

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2Kufamba kwemuchina - matambudziko nemhinduro 5

Zvinodiwa: Hurefu hwendege yakakotama yaifambwa nechinhu

Solution:

Verenga kukwirira kwasvikwa nesirinda uchishandisa equation yekuchengetedza simba remakanika.

Kufamba kwemuchina - matambudziko nemhinduro 6

Kufamba kwemuchina - matambudziko nemhinduro 7

Kureba kwekutanga (h o ) = 0 mamita

Kumhanya kwekutanga (v o ) = 10 m/s

Kumhanya kwekupedzisira (v t ) = 0 m/s (chinhu chinomira)

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2

Kufamba kwemuchina - matambudziko nemhinduro 8

Silinda inosvika kukwirira kwemamita 7.5.

Kureba kwakafambwa nesirinda:

Kufamba kwemuchina - matambudziko nemhinduro 9

Nhambwe inofambwa necylinder iyi i12.5 metres.

3. Chinhu chine denderedzwa risina chinhu (I = m R2 ) chine radius R, chinotenderera chisingatsvedzerere kumusoro kwedenderedzwa rakakombama rine kona yeα apo sin α = 0.8. Kana kukurumidza kwegiravhiti g = 10 ms -2 uye kumhanya kwekutanga kuri 8 ms -1 saka kureba kwedenderedzwa rakakombama kunosvikwa nechinhu chisati chamira kuri…

Zvinozivikanwa:

Nguva yekusashanda kwe silinda yakasimba (I) = m R 2

Kumhanya kwekutanga (v o ) = 8 m/s

Kumhanya kwekupedzisira (v t ) = 0 m/s (chinhu chinomira)

Kukwidza kona yendege yakarerekera ( θ ) = θ , uko chivi θ = 0.8

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2

Kudiwa: Kureba kwakafambwa nesirinda

Solution:

Verenga kukwirira kwasvikwa nesirinda uchishandisa equation yekuchengetedza simba remakanika.

Kufamba kwemuchina - matambudziko nemhinduro 10

Kufamba kwemuchina - matambudziko nemhinduro 11

Kureba kwekutanga (h o ) = 0 mamita

Kumhanya kwekutanga (v o ) = 8 m/s

Kumhanya kwekupedzisira (v t ) = 0 m/s

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s 2

Kufamba kwemuchina - matambudziko nemhinduro 12

Silinda inosvika kukwirira kwemamita 6.4.

Kureba kwakafambwa nesirinda:

Kufamba kwemuchina - matambudziko nemhinduro 13

Nhambwe inofambwa necylinder iyi i8 metres.

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