Kufamba kwemhepo - matambudziko nemhinduro

1. Chinhu chine denderedzwa risina chinhu (I = m R)2) inofamba ichikunguruka isina kutsvedza ndege yakakombama isina kunaka nespeed yekutanga ye10 m/s. Ndege yakatsamira ine angle yekukwira θ ine tan θ = 0.75. Kana gravitational acceleration g = 10 ms-2, ivo velocity yechinhu chacho yaderedzwa kusvika 5 ms-1 ipapo daro riri pa ndege yakatsamira chinhu chacho…

Zvinozivikanwa:

Nguva yeinertia ye silinda isina chinhu (I) = m R2

Kona yekukwirira = θ, kupi kusviba kweganda θ = 0.75 = 75/100 = opp / adj

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

Kuwedzera nekuda kwegiravhiti (g) = 10 m/s2

Kumhanya kwekutanga (v)o) = 10 m/s

Kumhanya kwekupedzisira (v)t) = 5 m/s

Zvaidiwa: mufambo Kufamba kwemuchina - matambudziko nemhinduro 1

Solution:

Cverenga kukwirira kwasvikwa nesirinda uchishandisa equation ye kuchengetedzwa kwesimba remakanika.

Kufamba kwemuchina - matambudziko nemhinduro 2

Kureba kwekutanga (ho) = 0 mamita

Kumhanya kwekutanga (v)o) = 10 m/s

onawo  Kufamba kwakafanana kwedenderedzwa - matambudziko nemhinduro

Kumhanya kwekupedzisira (v)t) = 5 m/s

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2

Kufamba kwemuchina - matambudziko nemhinduro 3

Silinda inosvika kukwirira kwemamita 7.5.

Kureba kwakafambwa nesirinda:

Kufamba kwemuchina - matambudziko nemhinduro 4

Nhambwe inofambiswa nesirinda ndeye 12.5 mamita.

Mhinduro chaiyo ndeinoti A.

Tsananguro ye equation:

o = yekutanga, t = yekupedzisira, INI = michina simba, PE = simba rinogona kuwanikwa, KE = simba reinetic, m = uremu, g = kukurumidza nekuda kwegiravhiti, h = kureba, v = kumhanya kwakatwasuka, ω = angular velocity, I = nguva yekusaita basa, R = nharaunda yesirinji

2. Sirinda yakasimba (I = ½ m R2) ine huremu hwe3 kg inofamba ichikunguruka isina kutsvedza, denderedzwa rakakombama rine kona yekukwira θ ine sin θ = 0.6. Kana kukurumidza kwegiravhiti g = 10 ms-2 uye kumhanya kwekutanga kwechinhu chacho kuri 10 m/s, ipapo kureba kwendege yakatsamira inofambiswa nechinhu ndicho…

Zvinozivikanwa:

Nguva yekusashanda kwe silinda yakasimba (I) = ½ m R2

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Huremu hwesirinda = 3 kg

Kumhanya kwekutanga (v)o) = 10 m/s

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

Kona yekukwirira (θ) = θ, uko chivi θ = 0.6 = 6/10 = zvinopesana/hyp

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

Zvaidiwa: Tkureba kwendege yakakotama inofamba nechinhu

Solution:

Verenga kukwirira kwasvikwa nesirinda uchishandisa equation yekuchengetedza simba remakanika.

Kufamba kwemuchina - matambudziko nemhinduro 6

Kufamba kwemuchina - matambudziko nemhinduro 7

Kureba kwekutanga (ho) = 0 mamita

Kumhanya kwekutanga (v)o) = 10 m/s

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

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2

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 R)2) ne radius R, inofamba ichikunguruka isina kutsvedza ichikwira denderedzwa rakakombama rine kona ye α apo sin α = 0.8. Kana kukurumidza kwegiravhiti g = 10 ms-2 uye kumhanya kwekutanga ndeye 8 ms-1 ipapo kureba kwendege yakakotama kunosvikwa nechinhu chisati chamira ndiko…

onawo  Equation yekukakavadzana kwetambo

Zvinozivikanwa:

Nguva yekusashanda kwe silinda yakasimba (I) = m R2

Kumhanya kwekutanga (v)o) = 8 m/s

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

Kona yekukwira kwendege yakatsamira (θ) = θ, uko chivi θ = 0.8

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2

Zvaidiwa: Kufamba kure necylinder

Solution:

Verenga kukwirira kwasvikwa nesirinda uchishandisa equation yekuchengetedza simba remakanika.

Kufamba kwemuchina - matambudziko nemhinduro 10

Kufamba kwemuchina - matambudziko nemhinduro 11

Kureba kwekutanga (ho) = 0 mamita

Kumhanya kwekutanga (v)o) = 8 m/s

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

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s2

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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