Kurerekera - matambudziko nemhinduro

Kurerekera - matambudziko nemhinduro

1. Huremu hwebhuroko i5 kg, kumhanyisa nekuda kwegiravhiti = 9.8 m/s ² , tan 37 ^o = 3/4. Chii chinonzi kumhanyisa kwebhuroko?

mhinduro

Zvinozivikanwa:

huremu (m) = 5 kg

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

huremu (w) = mg = (5)(10) = 50 N

x = 3

Kureba kwenzvimbo yakatsamira (y) = 4

Kureba kwenzvimbo yakakombama (l) = 5

Zvinodiwa : kukurumidza kweblock (a)?

Solution:

Chivharo chinokurumidziswa nesimba re w _x . Nzvimbo yakakotama yakatsetseka saka hapana simba rekukweshana.

w _x = w sin θ = (w)(y / z)

w _x = (50)(4/5)

w _x = 40 Newton

Kukurumidza kwebhuroko (a)?

ΣF = ma

w _x = ma

40 = (5) a

a = 40 / 5

a = 8 m/s ²

2. Bhurukwa rinotanga rakamira, rozokurumidziswa richikwira richienderana nepamusoro penzvimbo yakatsveyama. Huremu hweBhurukwa = 8 kg, coefficient of static friction µ _s = 0.5 uye angle θ = 45 ^o . Chii chinonzi hukuru hwesimba F kuitira kuti bhurukwa rikurumidziswe.

Zvinozivikanwa:

Koefficient yekukweshana kwesimba (µs ₎ = 0.5

Angle (θ) = 45 ^o

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

Huremu hwebhuroko (m) = 8 kg

Huremu hwemabhuroko (w) = mg = (8 kg)(10 m/s ² ) = 80 kg m/s ² = 80 Newtons

Zvinodiwa: Hukuru hwesimba F

Solution:

Block tanga kukurumidza kana F ≥ w_x + f_s.

Chikamu chakatarwa chehuremu :

w _x = w chivi θ = (80)(chivi 45) = (80)(0.5√2) = 40√2

Chikamu chehuremu chakamira:

w _y = w cos θ = (80)(cos 45) = (80)(0.5√2) = 40√2

Simba rakajairika :

N = w _y = 40√2

Simba rekukakavadzana kwakasimba:

f _s = µ _s N = (0.5)(40√2) = 20√2

Hukuru hwesimba F:

F ≥ w _x + f _s

F ≥ 40√2 + 20√2

F ≥ 60√2 Newton

3. Huremu hwebhuroko i8 kg. Simba shoma rinodiwa kuti bhuroko ribate bhuroko kuitira kuti bhuroko risatsvedzerere pasi ndi … (sin 37 ^o = 0.6, cos 37 ^o = 0.8, g = 10 ms ^-2 , µ _k = 0.1)

Zvinozivikanwa:

Huremu hwebhuroko (m) = 8 kg

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

Kurema kwebhuroko (w) = mg = (8)(10) = 80 Newtons

Chivi 37 ^o = 0.6

Cos 37 ^o = 0.8

Kukweshana kwekinetic (µk ₎ = 0.1

Simba rakajairika (N) = w _y = w cos 37 ^o = (80)(0.8) = 64 Newtons

Zvinodiwa: Hukuru hwesimba F

Solution:

Bhokisi haritsvedzeri pasi kana F = w _x

Chikamu chakatarwa chehuremu chakaenzana nepamusoro penzvimbo yakatsveyama:

w _x = w chivi θ = (80)(chivi 37) = (80)(0.6) = 48

f _k = µ _k N = (0.1)(64) = 6.4

Simba shoma F kuitira kuti bhokisi risatsvedzerere pasi:

F + f _k – w _x = 0

F = w _x – f _k = 48 – 6.4 = 41.6 Newtons

4. Bhokisi re5-kg rinodhonzwa pamwe chete nedenderedzwa rakakombama nesimba re71 N (g = 10 ms ^-2 , sin 37 ^o = 0.6, cos 37 ^o = 0.8). Kana coefficient yesimba rekukweshana pakati pebhokisi nedenderedzwa iri 0.4, chii chinonzi kukurumidza kwebhokisi.

Zvinozivikanwa:

Huremu hwechinhu (m) = 5 kg

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

huremu hwebhuroko (w) = mg = (5)(10) = 50 Newtons

Simba F = 71 Newton

Chivi 37 ^o = 0.6

Cos 37 ^o = 0.8

Kukweshana kwemusanganiswa wekoefficient = 0.4

Zvinodiwa : Kukurumidza kwebhuroko (a)

Solution:

Chikamu chakatarwa chehuremu :

w _x = w chivi θ = (50)(chivi 37) = (50)(0.6) = 30

Chikamu chehuremu chakamira :

w _y = w cos θ = (50)(cos 37) = (50)(0.8) = 40

Simba rakajairika:

N = w _y = 40

Simba rekukweshana kwekinetic:

f _k = µ _k N = (0.4)(40) = 16

Simba reNet:

∑F = F – w _x – f _k = 71 – 30 – 16 = 25 Newtons

Kukurumidzisa kwechinhu:

a = ∑F / m = 25 / 5 = 5 m/s ²

5. Bhokisi re500-N rakasimudzwa kurori richipfuura nepakati penzira yakatsamira, sezvakaratidzwa mumufananidzo uri pazasi. Kana kureba kwerori kuri 1.5 metres, tarisa kukura kwesimba rekufambisa bhokisi.

Zvinozivikanwa:

huremu hwebhokisi (w) = 500 Newtons

kureba kwerori (h) = 1.5 metres

kureba kwendege yakatsamira (l) = mamita matatu

Zvinodiwa: Hukuru hwesimba rekufambisa bhokisi (F)

Solution:

Chivi θ = opp / hyp = 1.5 mamita / 3 mamita = 1.5 / 3 = 0.5

Simba (F) rinodiwa kuti bhokisi rifambiswe, zvakafanana nechikamu chakatarwa chehuremu chakaenzana nedenderedzwa rakanamira (w _x ).

w _x = w chivi θ = (500 N)(0.5) = 250 N

1. Chii chinonzi plane yakakombama, uye inoita sei kuti basa rive nyore?
   • mhinduro: Nzvimbo yakakombama inzvimbo yakati sandara yakaiswa pakona (kunze kwekona yekurudyi) yakananga panzvimbo yakatambanuka. Inoita kuti basa rive nyore nekubvumira simba kuti rishandiswe padaro refu kuti rikunde simba rinodzivisa, kazhinji zvichideredza hukuru hwesimba rinodiwa kusimudza kana kudzikisa chinhu.
2. Kona yekurerekera inokanganisa sei simba rinodiwa kuti chinhu chifambiswe mudenga?
   • mhinduro: Kana kona yekurerekera yakamira, simba rinodiwa kuti chinhu chikwire mudenga rinokura. Sezvo kona ichiderera, simba rinodiwa rinoderera asi rinoshandiswa padaro refu.
3. Sei zviri nyore kusunda bhokisi rinorema pamusoro pechinhambwe pane kurisimudza rakatwasuka?
   • mhinduro: Kusunda bhokisi mudenga repamusoro (rakakombama) kunokamura huremu hwebhokisi kure, zvichideredza simba rinodiwa chero nguva. Kurisimudza rakananga kunoda kuti munhu arwise huremu hwebhokisi zvakananga, zvichireva kuti simba guru riripo.
4. Kureba kwendege yakakotama kunoenderana sei nesimba rinodiwa kuti chinhu chikwire mundege?
   • mhinduro: Kana denderedzwa rakarerekera rakareba (kuti pave nekukwirira kwakatarwa), simba shoma rinodiwa kuti chinhu chikwire mudenderedzwa. Zvisinei, simba racho rinofanira kushandiswa padaro refu.
5. Kana kukweshana kukaiswa panzvimbo yakatsamira, zvinokanganisa sei kufamba kwechinhu chiri pairi?
   • mhinduro: Kukweshana kunopesana nekufamba kwechinhu. Kana chinhu chiri kusundidzirwa kumusoro kwakarerekera, kukweshana kunoshanda pasi, zvichiwedzera simba rinodiwa kuti chinhu chifambiswe. Kana chinhu chiri kufamba pasi, kukweshana kunononotsa kudzika kwacho.
6. Sei vashandi vachishandisa ndege dzakarerekera kurodha zvinhu zvinorema mumarori?
   • mhinduro: Kushandisa plane yakatsamira (ramp) kunobvumira vashandi kushandisa simba diki padaro refu kutakura zvinhu zvinorema, zvichiita kuti basa rive nyore uye risinganetsi pane kusimudza zvinhu zvakamira.
7. Kurema kwechinhu kunoenderana sei netsika yacho yekutsvedza pasi chakarerekera?
   • mhinduro: Chikamu chehuremu hwechinhu chinoshanda chakaenzana nepamusoro penzvimbo yakakotama chinoita kuti chitsvedzerere. Chinhu chacho chikarema, huremu hwacho hunokura, uye nokudaro, chinowanzoita kuti chinhu chitsvedzerere pasi.
8. Simba rakajairika rinoita basa rei pane imwe nzvimbo yakatsamira?
   • mhinduro: Simba rakajairika rinoita basa rakatarisa pamusoro penzvimbo yakakombama. Ndiro rinoita kuti pave nesimba rekukweshana pakati pechinhu nepano sezvo kukweshana kunowanzoenderana nesimba rakajairika.
9. Sei jecha kana mashanga zvingaiswa panzvimbo yakatetepa panguva yechando?
   • mhinduro: Jecha kana mashanga zvinowedzera simba rekukweshana pakati penzvimbo yakakombama nezvinhu (zvakaita seshangu kana matai) zviri pairi. Kukweshana uku kunobatsira kudzivirira kutsvedza panguva yechando kana kunyorova.
10. Kana bhora rikapetwa rakanamira pasi, rozodzokera pasi, richasvika pakumhanya kwaro kwekutanga here panguva yarinodzokera kwarakatanga, richiregeredza kudziviswa kwemhepo nekukweshana?

• mhinduro: Ehe, kana pasina kudzivirira kwemhepo nekukweshana, simba rebhora rinogona kushandiswa pakakwirira richashanduka kuita simba rekinetic sezvarinodzika, zvichiita kuti risvike pakumhanya kwaro kwekutanga panguva yarinodzokera pakutanga nekuda kwekuchengetedzwa kwesimba.