ke kālaikūlohea

1. Ua hoʻopuni ʻia kahi pōpō 0.2-kg, i hoʻopaʻa ʻia i ka wēlau o ke kaula ākea, i loko o kahi pōʻai o ka radius 1 mika a ʻo ka wikiwiki kiʻekiʻe o ka pōpō he 10 rpm. He aha ka nui o ka ka wikiwiki o ke kikowaena a me ka nui o ka ikaika o ke kuʻina?

ʻIke ʻia:

Ka Mass (m) = 0.2 kg

Ka laulā (r) = 1 m

ʻO ka wikiwiki wikiwiki (ω) = 10 hoʻi/min = 10 hoʻi/60 s = 0.17 hoʻi/s = (0.17)(6.28 rad)/s = 1 rad/s

māmā holo (v) = r ω = (1 m)(1 rad/s) = 1 m/s

Makemake ʻia: a_s a hiki ΣF

Lōlā:

(a) Ka nui o ka wikiwiki centripetal

(b) Ka nui o ka ikaika hoʻoluhi

ΣF = ma

T = ma_s

T = (0.2 kg)(1 m/s)²)

T = 0.2 kg m/s²

T = 0.2 N

2. Ke kaʻa like nei kahi pōpō 1-kg ma ka hopena o ke kaula i loko o kahi pōʻai ʻaoʻao o 1 m ka radius. E haki ke kaula ke ʻoi aku ka nui o ke kaomi i loko o 100 N. He aha ka wikiwiki loa e hiki ai i ka pōpō ke loaʻa?

ʻIke ʻia:

Nuipaʻa (m) = 1 kg

Radius (r) = 1 mika

Ka ikaika hoʻoluhi (T) = ikaika centripetal (ΣF) = 100 N

Makemake: v ka palena kiʻekiʻe loa

Lōlā:

[wpdm_package id='499′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Neʻe ʻana ma luna o kahi ʻili pālahalaha me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Neʻe ʻana ma luna o kahi mokulele i hoʻokiʻekiʻe ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

1. He kaʻa e hoʻopuni ana i kahi piʻo kūlou. He aha ke kihi no ke alanui nona ka piʻo o ka radius he 60 mika me ka wikiwiki hoʻolālā o 20 m/s? Manaʻo ʻaʻohe kū'ē ma waena o ke kaʻa a me ke alanui.

pāʻoihana

N= ikaika maʻamau

N hewa θ = ʻāpana pae o ka ikaika maʻamau

N cos θ = ʻāpana kū pololei o ka ikaika maʻamau

w = mg = ka kaumaha o ke kaʻa

Ua hoʻolālā ʻia ke alanui e hoʻopaʻa ʻia i nā kapa e hoʻopau ai i ke hilinaʻi ʻana i ka hakakā.

ʻO ka ikaika pae ʻupena, ka ʻāpana pae o ka ikaika maʻamau (N hewa θ), pono e hoʻomau i ke kaʻa e neʻe i loko o kahi pōʻai a puni ka piʻo.

Koho mākou i ka axis-x ma ke ʻano he pae a me ka axis-y ma ke ʻano he kū pololei, i hiki ai i ka wikiwiki centripetal, a_R, aia ma ke kuhikuhi ʻaoʻao. Ma ke kuhikuhi ʻaoʻao, ʻo ka ikaika wale nō ka ʻāpana ʻaoʻao o ka ikaika maʻamau (N hewa θ), e pono ai e hana i ka ka wikiwiki o ke kikowaena. N sin θ = ikaika centripetal.

E hoʻopili i ke kānāwai o ka neʻe ʻana o Newton ma ke kuhikuhi kū pololei:

E hoʻopili i ke kānāwai o ka neʻe ʻana o Newton ma ke kuhikuhi ʻaoʻao:

Panike hoʻohui ʻana iā N ma ka hoohalike 1 i loko o N ma ka hoohalike 2 :

[wpdm_package id='497′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

1. Ke kaʻa nei he 2000-kg i kahi piʻo ma ke alanui pālahalaha he 150 m ka radius. ʻO ke koina o ka haʻalulu paʻa he 0.5. E hoʻoholo i ka wikiwiki kiʻekiʻe loa i hiki ai i ke kaʻa ke hahai i ke piʻo a ʻaʻole e paheʻe. ʻO ka wikiwiki ma muli o ka umekaumaha = 10m/s².

ʻIke ʻia:

Ka Mass (m) = 2000 kg

Radius (r) = 150 mika

Ka helu o ka haʻalulu paʻa (μ_s) = 0.5

Weight (w) = mg = (2000 kg)(10 m/s)²) = 20,000 kg m/s² = 20,000 N

Ka ikaika o ka haʻalulu paʻa (F_s) = μ_s N = μ_s w = (0.7)(20,000 N) = 14,000 N

Makemake ʻia : v

Lōlā:

[wpdm_package id='496′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

1. ʻElua mau nuipa m₁ = 2 kg a me m₂ = 5 kg aia ma kahi mokulele inclined a ua hoʻopili ʻia e ke kaula e like me ka mea i hōʻike ʻia ma ke kiʻi. ʻO ke coefficient o ka friction kinetic ma waena o m₁ a ʻo ka incline he 0.2 a me ke coefficient o ka ʻūmiʻi kinetic ma waena o m₂ a ʻo ke kūlou he 0.1.

(a) E hoʻoholo i kā lākou ka piʻi

(b) E hoʻoholo i ka ikaika hoʻoluhi

ʻIke ʻia:

Ka Mass 1 (m₁) = 2 kg

Nuipaʻa 2 (m₂) = 4 kg

ʻO ke koina o ka friction kinetic ma waena o m₁ a mokulele hilig (μ_k1) = 0.2

ʻO ke koina o ka friction kinetic ma waena o m₂ a me ka mokulele i hoʻohuli ʻia (μ_k2) = 0.1

ʻO ka wikiwiki ma muli o ka umekaumaha (g) = 9.8 m/s²

a) Ka nui a me ke kuhikuhi o ka hoʻolalelale

w₁ = kaumaha 1 = m₁ g = (2 kg)(9.8 m/s)²) = 19.6 Newton

w_1x = w₁ hewa 30^o = (19.6 N)(0.5) = 9.8 Newton

w_1y = w₁ ka helu 30^o = (19.6 N)(0.87) = 17 Newton

N₁ = Ka ikaika maʻamau ma luna o m₁ = w_1y = 17 Newton

F_k1 = Ka ikaika o ka haʻalulu kinetic ma m₁ = μ_k1 N₁ = (0.2)(17 N) = 3.4 Newton

---

w₂ = kaumaha 2 = m₂ g = (4 kg)(9.8 m/s)²) = 39.2 Newton

w_2x = w₂ hewa 60^o = (39.2 N)(0.87) = 34.1 Newton

w_2y = w₂ ka helu 60^o = (39.2 N)(0.5) = 19.6 Newton

N₂ = Ka ikaika maʻamau ma luna o m₂ = w_2y = 19.6 Newton

F_k2 = Ka ikaika o ka haʻalulu kinetic ma m₂ = μ_k2 N₂ = (0.1)(19.6 N) = 1.96 Newton

---

Ka nui o ka hoʻolalelale ʻana:

ΣF_x = ma_x

w_2x > w_1x no laila ua like ke kuhikuhi o ka hoʻolalelale ʻana me ke kuhikuhi o w_2x.

He maikaʻi nā mana e kuhikuhi ana ma ka wikiwiki a he maikaʻi ʻole nā ​​​​mana e kuhikuhi ana ma ka ʻaoʻao kūʻē i ka wikiwiki.

w_2x - F_k2 - T₂ +T₁ - w_1x - F_k1 = (m₁ +m₂) a_x

w_2x - F_k2 - w_1x - F_k1 = (m₁ +m₂ ) a_x

34.1 N – 1.96 N – 9.8 N – 3.4 N = (2 kg + 4 kg) a_x

18.94 N = (6 kg) a_x

a_x = 18.94 N : 6 kg

a_x = 3.16m/s²

Ka nui o ka hoʻolalelale = 3.16 m/s² . Ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o T₁ = ke kuhikuhi o w_2x

b) Ka nui o ka ikaika hoʻoluhi

E hoʻopili i ke kānāwai ʻelua o Newton ma ka mea 2:

w_2x - F_k2 - T₂ = m₂ a_x

34.1 ʻĀ – 1.96 ʻĀ – T₂ = (4 kg)(3.16 m/s²)

32.14 N – T₂ = 12.64 N

T₂ = 32.14 N – 12.64 N = 19.5 Newtons

Ka ikaika hoʻoluhi = T = T₁ =T₂ = 19.5 Newton

2. m₁ = 4 kg, m₂ = 2 kg. E hoʻoholo i (a) ka nui a me ke kuhikuhi o ka wikiwiki (b) Ka nui o ka ikaika ume e hoʻopili ai iā m₁ a me m₂ (c) ka nui o ka ikaika ume e hoʻohui ai i ka pulley a me ka hale.

pāʻoihana

w₁ = m₁ g = (4 kg)(9.8 m/s)²) = 39.2 Newton

w₂ = m₂ g = (2 kg)(9.8 m/s)²) = 19.6 Newton

a) Ka nui a me ke kuhikuhi o ka hoʻolalelale

ΣF_y = ma_y

w₁ > w₂ no laila ua like ke kuhikuhi o ka mea me ke kuhikuhi o ke kaumaha 1 (w₁). He maikaʻi nā ikaika i like ke kuhikuhi me ka wikiwiki a he maikaʻi ʻole nā ​​​​ikaika i kū'ē i ke kuhikuhi me ka wikiwiki.

w₁ - T₁ +T₂ - w₂ = (m₁ +m₂) a_y

w₁ - w₂ = (m₁ +m₂) a_y

39.2 N – 19.6 N = (4 kg + 2 kg) a_y

19.6 N = (6 kg) a_y

a_y = 19.6 N : 6 kg

a_y = 3.26m/s²

Ka nui o ka hoʻolalelale = 3.26 m/s². Ke kuhikuhi o ka hoʻolalelale = ke kuhikuhi o w₁ .

b) Ka nui o ka ikaika hoʻoluhi e hoʻopili ai iā m₁ a me m₂

pili Ke kānāwai ʻelua o Newton ma luna o m₂ :

ΣF_y = ma_y

w₁ - T₁ = m₁ a_y

39.2 N – T₁ = (4 kg)( 3.26 m/s²)

39.2 N – T₁ = 13.04 N

T₁ = 39.2 ʻĀ – 13.04 ʻĀ

T₁ = 26.16 Newton

Ka nui o ka ikaika ume e hoʻopili ai i nā mea = T = T₁ =T₂ = 26.16 Newton

c) Ka nui o ka ikaika ume e hoʻohui ai i ka pulley a me ka hale.

Ua hoʻomaha ʻo Pulley:

ΣF_y = ma_y —— he_y = 0

ΣF_y = 0

He maikaʻi nā mana i luna, he maikaʻi ʻole nā ​​mana i lalo:

T₃ - T₁ - T₂ = 0

T₃ =T₁ +T₂

T₁ a me T₂ loaʻa ka nui like, T₁ =T₂ = T = 26.16 N :

T₃ = 2T = 2(26.16 N) = 52.32 Newtons

3. Poloka 1 (m₁ = 10 kg) a me ka poloka 2 (m₂ = 15 kg) i hoʻopili ʻia e ke kaula ma luna o ka pulley frictionless. ʻO ke koina o ka friction static ma waena o ka poloka 2 me ka incline = 0.6. ʻO ke koina o ka friction kinetic ma waena o ka poloka 2 me ka incline = 0.42. E hoʻoholo (a) ʻO ka nui o ka ikaika liʻiliʻi F i hoʻokau ʻia ma luna o nā mea i wikiwiki ai nā mea i luna (b) E hoʻoholo i ka nui o ka ikaika tension.

pāʻoihana

w₁ = Ke kaumaha o ka poloka 1 = m₁ g = (10 kg)(9.8 m/s)²) = 98 Newton

w₂ = Ke kaumaha o ka poloka 2 = m₂ g = (15 kg)(9.8 m/s)²) = 147 Newton

w_2y = w₂ ka helu 30^o = (147 N)(0.87) = 127.89 Newton

w_2x = w₂ hewa 30^o = (147 N)(0.5) = 73.5 Newton

N₂ = Ka ikaika maʻamau ma ka poloka 2 = w_2y = 127.89 Newton

F_k2 = Ka ikaika o ka haʻalulu kinetic ma ka poloka 2 = μ_k2 N₂ = (0.42)(127.89 N) = 53.7 Newton

F_s2 = Ka ikaika o ka haʻalulu paʻa ma ka poloka 2 = μ_s2 N₂ = (0.6)(127.89 N) = 76.7 Newton

a) ʻO ka nui o ka ikaika liʻiliʻi loa F i hoʻokau ʻia ma luna o nā mea i wikiwiki ai nā mea i luna

ΣF_x = ma_x —— he_x = 0

ΣF_x = 0

He maikaʻi nā mana i luna a me nā mana ʻākau, he maikaʻi ʻole nā ​​​​mana i lalo a me nā mana hema.

F – F_k2 - w_2x - w₁ - T₂ +T₁ = 0

F – F_k2 - w_2x - w₁ = 0

F = F_k2 +w_2x +w₁

F = 53.7 N + 73.5 N + 98 N

F = 225.2 Newton

b) Ka nui o ka ikaika hoʻoluhi

E hoʻopili i ke kānāwai o ka neʻe ʻana o Newton ma ka poloka 1:

ΣF_y = ma_y —— he_y = 0

ΣF_y = 0

T₁ - w₁ = 0

T₁ = w₁ = 98 Newton

E hoʻopili i ke kānāwai o ka neʻe ʻana o Newton ma ka poloka 2:

F – F_k2 - w_2x - T₂ = 0

T₂ = F – F_k2 - w_2x

T₂ = 225.2 N – 53.7 N – 73.5 N

T₂ = 98 Newton

Ka nui o ka ikaika hoʻoluhi = T₁ =T₂ = T = 98 Newton

4. Poloka 1 (m₁ = 16 kg) e waiho ana ma luna o kahi ʻili ākea a me ka poloka 2 (m₂ = 12 kg) e waiho ana ma luna o kahi mokulele hilig laumania, i hoʻopili ʻia e ke kaula e hele ana ma luna o kahi pulley liʻiliʻi, frictionless. Poloka 3 (m₃ = 5 kg) e waiho ana ma ka poloka 2. ʻO ke koina o ka friction kinetic ma waena o ka poloka 2 a me ka ʻili ākea he 0,4. ʻO ke coefʻO ke kūlike o ka haʻalulu paʻa ma waena o ka poloka 2 me ka poloka 3 he 0,3.

(a) Ke hoʻokuʻu ʻia ka ʻōnaehana mai ka hoʻomaha, e paheʻe pū ana ka poloka 3 a me ka poloka 2?

(B) Inā aia ka poloka 3, he aha ka wikiwiki o ka poloka 1 a me ka poloka 2?

Lōlā:

a) Ke hoʻokuʻu ʻia ka ʻōnaehana mai ka hoʻomaha, e paheʻe pū ana ka poloka 3 a me ka poloka 2?

w₁ = Ka ke kaumaha o ka poloka 1 = m₁ g = (16 kg)(9.8 m/s)²) = 156.8 Newton

w_1x = w₁ hewa 60^o = (156.8 N)(0.87) = 136.4 Newton

w_1y = w₁ ka helu 60^o = (156.8 N)(0.5) = 78.4 Newton

N₁ = Ka ka ikaika maʻamau i hoʻokau ʻia ma ka poloka 1 e ka mokulele inclined = w_1y = 78.4 Newton

w₃ = Ka ke kaumaha o ka poloka 3 = m₃ g = (5 kg)(9.8 m/s)²) = 49 Newton

N₂₃ = Ka ka ikaika maʻamau i hoʻokau ʻia ma ka poloka 3 e ka poloka 2 = w₃ = 49 Newton

N₃₂ = ʻO ka nka ikaika maʻamau i hoʻokau ʻia ma ka poloka 2 e ka poloka 3 = N₂₃ = w₃ = 49 Newton

(N₂₃ a N₃₂ he mau hui hana-pane)

F_s23 = Ka ka ikaika o ka haʻalulu paʻa i hoʻokau ʻia ma ka poloka 3 e ka poloka 2 = μ_s N₂₃ = (0.3)(49 N) = 14.7 Newton

F_s32 = Ka ka ikaika o ka haʻalulu paʻa i hoʻokau ʻia ma ka poloka 2 e ka poloka 3 =F_s23 = 14.7 Newton

(F_s23 a F_s32 he mau hui hana-pane)

w₂ = Ka ke kaumaha o ka poloka 2 = m₂ g = (12 kg)(9.8 m/s)²) = 117.6 Newton

N₂ = Ka ka ikaika maʻamau i hoʻokau ʻia ma luna o ka mea 2 e ka ʻili ākea = w₂ +N₃₂ = 117.6 Newtons + 49

Newton = 166.6 Newton

F_k2 = Ka ka ikaika o ka friction kinetic ma ka poloka 2 = μ_k N₂ = (0.4)(166.6 N) = 66.64 Newton

E hoʻopili i ke kānāwai o ka neʻe ʻana o Newton ma ka poloka 3:

ΣF_x = ma_x

F_s23 =m₃ a_x

—–> F_s23 = μ_s N₂₃ = μ_s w₃ = μ_s m₃ g

μ_s m₃ g = m₃ a_x

μ_s g = a_x

a_x = (0.3)(9.8 m/s²) = 2.94 m/s²

ʻO ka wikiwiki kiʻekiʻe loa o ka poloka 3 i hiki ai i ka poloka 3 a me ka poloka 2 ke paheʻe pū he 2.94 m/s².

I kēia manawa, ke helu nei mākou i ka nui o ka wikiwiki o ka ʻōnaehana ma hope o ka hoʻokuʻu ʻia ʻana mai ka hoʻomaha.

ʻO ke kuhikuhi o ka neʻe ʻana o ka poloka = ke kuhikuhi o ka wikiwiki o ka poloka = ke kuhikuhi o T₂ = ke kuhikuhi o w_1x.

ΣF_x = ma_x

w_1x - T₁ +T₂ - F_k2 - F_s32 +F_s23 = (m₁ +m₂ +m₃) a_x

w_1x - F_k2 = (m₁ +m₂ +m₃ ) a_x

136.4 N – 66.64 N = (16 kg + 12 kg + 5 kg) a_x

69.76 N = (33 kg) a_x

a_x = 2.11m/s²

a_x he maikaʻi, ʻo ia hoʻi ke kuhikuhi o ka neʻe ʻana o ka poloka a i ʻole ke kuhikuhi o ka hoʻolalelale ʻana ua like ia me ke kuhikuhi o T₂ a i ʻole ke kuhikuhi o w_1x.

ʻO ka nui o ka hoʻolalelale ʻana 2.11 m / s² , lʻoi aku ka mana ma mua o 2.94 m / s² no laila hiki iā mākou ke hoʻoholo e paheʻe pū ana ka poloka 3 a me ka poloka 2 ma hope o ka hoʻokuʻu ʻia ʻana mai ka hoʻomaha.

b) ʻO ka nui o ka wikiwiki o ka poloka 1 a me ka poloka 2

ΣF_x = ma_x

w_1x - F_k2 = (m₁ +m₂) a_x

—–> F_k2 = μ_k N₂ = μ_k w₂ = μ_k m₂ g = (0.4)(12 kg)(9.8 m/s²) = 47.04 Newton

136.4 N – 47.04 N = (16 kg + 12 kg) a_x

89.36 N = (28 kg) a_x

a_x = 89.36 N : 28 kg = 3.19 m/s²

[wpdm_package id='493′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

1. Aia kahi poloka 2-kg ma luna o kahi mokulele hilig ʻino ma ke kihi 37^o i ka pae. E hoʻoholo i ka nui o ka ikaika o waho i hoʻokau ʻia ma luna o ka poloka, i ʻole e paheʻe ka poloka i lalo o ka mokulele. (syn 37^o = 0.6, cos 37^o = 0.8, g = 10 ms^-2, µ_k = 0.2)

ʻIke ʻia:

Ka Mass (m) = 2 kg

ʻO ka wikiwiki ma muli o ka umekaumaha (g) = 10 m/s²

Nā Poloka kaumaha (w) = mg = (2)(10) = 20 Newtons

Hewa 37^o = 0.6

ʻO Cos 37^o = 0.8

Koepili o ka ka ʻūmiʻi kinetic (µ_k) = 0.2

ʻO ka ʻāpana y o ke kaumaha (w_y) = w ka helu 37^o = (20)(0.8) = 16 Newton

ʻO ka ʻāpana-x o ke kaumaha (w_x) = w hewa θ = (20)(hala 37) = (20)(0.6) = 12 Newtons

ka ikaika maʻamau (N) = w_y = 16 Newton

makemake : Ka ikaika o waho (F)

pāʻoihana :

w_x = 12 Newton

ʻO ka ikaika o ka friction kinetic (f_k) = µ_k N = (0.1)(16) = 1.6 Newton

ʻO ka nui o ka ikaika waho F i hoʻokau ʻia ma ka poloka :

F + f_k - w_x = 0

F = w_x - f_k

F = 12 – 1.6

F = 10.4 Newton

ʻOi aku ka ikaika waho F ma mua o 10.4 Newtons.

2. Nui o kahi poloka = 2 kg, coefficient o ka friction static µ_s = 0.4 a me θ = 45^oE hoʻoholo i ka nui o ka ikaika F i hoʻomaka ai ka poloka e paheʻe i luna.

ʻIke ʻia:

ʻO ke koina o ka haʻalulu paʻa (µ)_s) = 0.4

Kihi (θ) = 45^o

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s²

Ka nuipa o ka poloka (m) = 2 kilokani

Kaumaha o ka poloka (w) = mg = (2 kg)(10 m/s)²) = 20 kg m/s² = 20 Newton

ʻO ka ʻāpana-x o ke kaumaha (w_x) = w hewa θ = (20)(hala 45) = (20)(0.5√2) = 10√2 Newtons

ʻO ka ʻāpana y o ke kaumaha (w_y) = w cos θ = (20)(cos 45) = (20)(0.5√2) = 10√2 Newtons

makemake : Ka nui o ka ikaika F

Lōlā:

Hoʻomaka ka poloka e paheʻe i luna, inā F ≥ w_x + f_s.

ʻO ka ʻāpana-x o ke kaumaha:

w_x = 10√2 Newton

ka ʻāpana-y o ke kaumaha :

w_y = 10√2 Newton

Ka ikaika maʻamau :

N = w_y = 10√2 Newton

Ka ikaika o ka haʻalulu paʻa :

f_s = µ_s N = (0,4)(10√2) = 4√2

ʻO ka nui o ka ikaika F i hoʻomaka ai ka poloka e paheʻe i luna :

F ≥ w_x + f_s

F ≥ 10√2 + 4√2

F ≥ 14√2 Newton

[wpdm_package id='492′]

1. Nā ʻāpana i ke kaulike hoʻokahi-dimensional
2. Nā ʻāpana i ke kaulike ʻelua-dimensional
3. Ke kaulike o nā kino i hoʻopili ʻia e nā kaula a me nā pulleys
4. Ke kaulike o nā kino ma ka mokulele inclined

heluhelu hou

1. He pahu o nuipa Aia ʻo 5 kg ma luna o kahi mokulele i hoʻokiʻekiʻe ʻia ma ke kihi 30^o. Kākoʻo ʻia ka pahu e ke kaula. E hoʻoholo i ka ikaika ume (T) a me ka ikaika maʻamau (N)!

pāʻoihana

ΣF_x = 0

T – w hewa 30^o = 0

T = w sin 30^o

T = (5 kg)(9.8 m/s)²) hewa 30^o

T = (49)(0.5)

T = 24.5 Newton

ΣF_y = 0

N – w cos 30^o = 0

N = w cos 30^o

N = (49)(0.87)

N = 43 Newton

2. ʻElua mau mea o ke kaumaha m₁ = m₂ = 2 kg, i hoʻopili ʻia e ke kaula nui ʻole ma luna o kahi pulley frictionless. E huli i ka ikaika tension T₁ a me T₂.

pāʻoihana

(a) Kiʻikuhi kino kūʻokoʻa no ka mea 1 (b) Kiʻikuhi kino kūʻokoʻa no ka mea 2

E hoʻopili i ke kānāwai mua o Newton i ka mea 1:

ΣF_y = 0

T₁ - w₁ = 0

T₁ = w₁ = m₁ g = (2 kg)(9.8 m/s)²) = 19.6 N

pili Ke kānāwai mua o Newton e kū'ē i ka mea 2:

ΣF_y = 0

T₂ - w₂ = 0

T₂ = w₂ = m₂ g = (2 kg)(9.8 m/s)²) = 19.6 N

T₁ =T₂ = 19.6 N.

3. He mea o kaumaha w_A = 30 N a me kahi mea kaumaha w_B = 40 N, ua hoʻopili ʻia e kahi kaula māmā e hele ana ma luna o kahi pulley frictionless o ka nuipa liʻiliʻi. E hoʻoholo i ke coefficient o ka maximum ka haʻalulu paʻa ma waena o w_B a me ka ʻili i hiolo, inā e hoʻomaha ana ka ʻōnaehana.

pāʻoihana

(a) Kiʻikuhi kino kūʻokoʻa no ka mea w_A (b) Kiʻikuhi kino kūʻokoʻa no ka mea w_B

E hoʻopili i ke kānāwai mua o Newton i ka mea w_A ma ke kuhikuhi kū pololei (y):

ΣF_y = 0 (ʻaʻohe wikiwiki i ke kuhikuhi kū pololei)

T - w_A = 0

T = w_A = 30 Newton

E hoʻopili i ke kānāwai mua o Newton i ka mea w_B ma ke kuhikuhi kū pololei (y) :

ΣF_y = 0

N - w_B ka helu 45^o = 0

N = w_B ka helu 45^o = (40)(0.7) = 28 Newton

E hoʻopili i ke kānāwai mua o Newton i ka mea w_B ma ke kuhikuhi ʻaoʻao (x):

ΣF_x = 0

F_k +w_B hewa 45^o – T = 0

μ_s N + w_B hewa 45^o – T = 0

μ_s (28) + (40)(0.7) – 30 = 0

μ_s (28) + 28 – 30 = 0

μ_s (28) = 30 – 28

μ_s (28) = 2

μ_s = 2/28

μ_s = 0.07

ʻO ke koina o ka friction static kiʻekiʻe loa ma waena o w_B a me ka ʻili hilig = 0.07.

[wpdm_package id='490′]

1. Nā ʻāpana i ke kaulike hoʻokahi-dimensional
2. Nā ʻāpana i ke kaulike ʻelua-dimensional
3. Ke kaulike o nā kino i hoʻopili ʻia e nā kaula a me nā pulleys
4. Ke kaulike o nā kino ma ka mokulele inclined

heluhelu hou

1. E huli i ka ikaika hoʻopaʻa T₁, T₂, a me T₃E hoʻowahāwahā i nā kaula nuipa.

pāʻoihana

(a) Kiʻikuhi kino kūʻokoʻa no ka mea (b) Kiʻikuhi kino kūʻokoʻa no ke kaula

Apono i ka Ke kānāwai mua o Newton ma luna o ka mea:

ΣF_y = 0

T₁ – w = 0

T₁ = w = mg

T₁ = (5 kg)(9.8 m/s²)

T₁ = 49 kg m/s²

T₁ = 49 N

E hoʻopili i ke kānāwai mua o Newton ma ke kaula:

ΣF_x = 0

T_3x - T _2x = 0

T₃ ka helu 30^o - T₂ ka helu 40^o = 0

0.87 T₃ – 0.77 T₂ = 0

0.87 T₃ = 0.77 T₂

T₂ = 0.87 T₃ / 0.77 = 1.1 T₃ ———- Kaulike 1

-

ΣF_y = 0

T_3y +T_2y - T_1y = 0

T₃ hewa 30^o +T₂ hewa 40^o - T₁ = 0

0.5 T₃ + 0.64 T₂ – 49 N = 0 ———- Kaulike 2

Ke pani nei iā T₂ ma ka hoʻohālikelike 2 i loko o ka hoʻohālikelike 2:

0.5 T₃ + 0.64 (1.1 T₃) – 49 N = 0

0.5 T₃ + 0.70 T₃ - 49 = 0

1.2 T₃ - 49 = 0

1.2 T₃ = 49

T₃ = 49/1.2

T₃ = 41 N

---

T₂ = 1.1 T₃

T₂ = (1.1)(40.8 N)

T₂ = 45 N

[wpdm_package id='488′]

1. Nā ʻāpana i ke kaulike hoʻokahi-dimensional
2. Nā ʻāpana i ke kaulike ʻelua-dimensional
3. Ke kaulike o nā kino i hoʻopili ʻia e nā kaula a me nā pulleys
4. Ke kaulike o nā kino ma ka mokulele inclined

heluhelu hou

^{1. Ka Mass o kahi mea, m = 10 kg, i kākoʻo ʻia e ke kaula. E huli i ke kaumaha ma ke kaula!} g = 10 m/s²

ʻIke ʻia:

Nuipaʻa (m) = 10 kg

ʻO ka wikiwiki ma muli o ka umekaumaha (g) = 10 m/s²

Makemake ʻia: Ka ikaika hoʻoluhi (T)

Lōlā:

ΣF_y = 0

T – w = 0

T = w

T = mg

T = (10 kg)(10 m/s)²) = 100 kg m/s²

T = 100 Newton

2. ʻO ke kaumaha o ka mea he 10 kg. E huli i ke kaumaha ma ke kaula….. Ka wikiwiki ma muli o ke koʻikoʻi = 10 m/s².

pāʻoihana

ʻIke ʻia:

Nuipaʻa (m) = 10 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s².

Makemake ʻia: Ka ikaika hoʻoluhi (T)

Lōlā:

^{w = kaumaha = mg = (10 kg)(10 m/s2)}) = 100 kg m/s²

T₁ = ka ikaika hoʻopaʻa 1

_T1x = ka ʻāpana-x o ka ikaika hoʻopaʻa 1 = T₁ ka helu 45^o = 0.7 T₁

_T1y = ka ʻāpana-y o ka ikaika hoʻoluhi 2 = T₁ hewa 45^o = 0.7 T₁

T₂ = ka ikaika hoʻopaʻa 2

_T2x = ka ʻāpana-x o ka ikaika hoʻopaʻa 2 = T₂ ka helu 45^o = 0.7 T₂

_T2y = ka ʻāpana-y o ka ikaika hoʻoluhi 2 = T₂ hewa 45^o = 0.7 T₂

Ke kūlana kaulike ΣF = 0.

axis y:

ΣF_y = 0

T_1y +T_2y – w = 0

0.7T₁ + 0.7T₂ - 100 = 0

0.7T₁ + 0.7T₂ = 100 —– kaulike 1

ʻaoʻao x:

ΣF_x = 0

T_2x - T_1x = 0

0.7T₂ – 0.7T₁ = 0

0.7T₂ = 0.7T₁

T₂ =T₁ —– hoʻohālikelike 2

E hoʻoholo i ka nui o T₁ :

0.7T₁ + 0.7T₁ = 100

1.4T₁ = 100

T₁ = 100/1.4

T₁ = 71.4 Newton

T₁ =T₂ no laila T₂ = 71.4 Newton

[wpdm_package id='486′]

1. Nā ʻāpana i ke kaulike hoʻokahi-dimensional
2. Nā ʻāpana i ke kaulike ʻelua-dimensional
3. Ke kaulike o nā kino i hoʻopili ʻia e nā kaula a me nā pulleys
4. Ke kaulike o nā kino ma ka mokulele inclined

heluhelu hou

1. Ua hoʻopili ʻia ʻelua pahu e ke kaula e holo ana ma luna o kahi pulley. E hoʻowahāwahā i ke kaumaha o ke kaula a me ka pulley a me kekahi friction i loko o ka pulley. Ka Mass o ka pahu 1 = 2 kg, ke kaumaha o ka pahu 2 = 3 kg, ka wikiwiki ma muli o ka umekaumaha = 10m/s². Huli (a) Ka wikiwiki o ka ʻōnaehana (b) Ke kaumaha ma ke kaula!

pāʻoihana

ʻIke ʻia:

Ka nuipa o ka pahu 1 (m₁) = 2 kg

Ka nuipa o ka pahu 2 (m₂) = 3 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s²

Weight o ka pahu 1 (w₁) = m₁ g = (2)(10) = 20 Newton

Kaumaha o ka pahu 2 (w₂) = m₂ g = (3)(10) = 30 Newton

Lōlā:

(a) ka nui a me ke kuhikuhi o ka hoʻolalelale ʻana

w₂ > w₁ pela ka Hoʻolalelale ka pahu 2 i lalo a hoʻolalelale ka pahu 1 i luna.

Nā mana i loaʻa ke kuhikuhi like me ka wikiwiki (w₂ a me T₁), he maikaʻi kona hōʻailona. Nā mana i kūʻē i ka wikiwiki (T₂ a w₁), he maikaʻi ʻole kona hōʻailona.

ΣF = ma

w₂ - T₂ +T₁ - w₁ = (m₁ +m₂) he ——-> T₁ =T₂ =T

w₂ – T + T – w₁ = (m₁ +m₂) a

w₂ - w₁ = (m₁ +m₂) a

30 – 20 = (2 + 3) a

10 = 5 a

a = 10 / 5

a = 2 m/s²

Ka nui o ka ka piʻi he 2 m/s².

(b) Ka ikaika hoʻoluhi

ʻO ka pahu 2:

ʻElua mau mana e hana ana ma ka pahu 2: ʻo ka mua, ke kaumaha o ka pahu 2 (w₂), kuhikuhi i lalo no laila he maikaʻi. ʻO ka lua, ka ikaika hoʻoluhi i hoʻokau ʻia ma ka pahu 2 (T₂), kuhikuhi i luna no laila he maikaʻi ʻole. E hoʻopili Ke kānāwai ʻelua o Newton o ka neʻe ʻana.

ΣF = ma

w₂ - T₂ = m₂ a

30 – T₂ = (3)(2)

30 – T₂ = 6

T₂ = 30 - 6

T₂ = 24 Newton

Pahu 1:

Aia ʻelua mau mana hana ma ka pahu 1. Ka mua, ke kaumaha o ka pahu 1 (w₁), kuhikuhi i lalo no laila he maikaʻi ʻole ia. Ka lua, ka ikaika hoʻoluhi i hoʻokau ʻia ma ka pahu 1 (T₁) e kuhikuhi ana i luna no laila he maikaʻi. E hoʻopili i ke kānāwai ʻelua o ka neʻe ʻana o Newton:

ΣF = ma

T₁ - w₁ = m₁ a

T₁ – 20 = (2)(2)

T₁ - 20 = 4

T₁ = 20 + 4

T₁ = 24 Newton

Ka nui o ka ikaika hoʻoluhi = T₁ =T₂ = T = 24 Newton

2. He mea ma luna o kahi ʻili pālahalaha ʻāwiliwili. ʻO ke kaumaha o ka mea 1 = 2 kg, ke kaumaha o ka mea 2 = 4 kg, ka wikiwiki ma muli o ke koʻikoʻi = 10 m/s², ke koina o ka friction static = 0.4, ke koina o ka friction kinetic = 0.3. Ke hoʻomaha nei ka ʻōnaehana a i ʻole e hoʻolalelale ʻia? Inā hoʻolalelale ʻia ka ʻōnaehana, e ʻimi i ka nui a me ke kuhikuhi o ka hoʻolalelale ʻana o ka ʻōnaehana!

pāʻoihana

ʻIke ʻia:

Ka nuipa o ka mea 1 (m₁) = 2 kg

Ka nuipa o ka mea 2 (m₂) = 4 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s²

Koepili o ka ka haʻalulu paʻa (μ_s) = 0.4

ʻO ke koina o ka friction kinetic (μ_k) = 0.3

Kaumaha o ka mea 1 (w₁) = m₁ g = (2)(10) = 20 Newton

Kaumaha o ka mea 2 (w₂) = m₂ g = (4)(10) = 40 Newton

Ka ikaika maʻamau i hoʻokau ʻia ma luna o ka mea 1 (N) = w₁ = 20 Newton

Ka ikaika o ka haʻalulu paʻa i hoʻokau ʻia ma ka mea 1 (f_s) = μ_s N = (0.4)(20) = 8 Newton

Ka ikaika o ka haʻalulu kinetic i hoʻokau ʻia ma luna o ka mea 1 (f_k) = μ_k N = (0.3)(20) = 6 Newton

Makemake: hoʻolalelale (a)

Lōlā:

w₂ > f_s (40 Newton > 8 Newton) no laila ua hoʻolalelale ʻia ka mea 2 i lalo a ua hoʻolalelale ʻia ka mea 1 i ka ʻākau a i ka pae. ʻO ka ikaika friction e hana ana ma luna o nā mea 1 ʻo ia ka ikaika o ka friction kinetic (f_k). E hoʻopili i ke kānāwai ʻelua o ka neʻe ʻana o Newton:

ΣF = ma

w₂ - ka = (m₁ +m₂) a

40 – 6 = (2 + 4) a

34 = 6 a

a = 34 / 6 = 17 / 3

a = 5.7 m/s²

Ka nui o ka hoʻolalelale = 5.7 m/s²

[wpdm_package id='484′]

1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Neʻe ma luna o ka ʻili moe me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Ka neʻe ʻana ma luna o ka mokulele i hoʻohuli ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou

1. He kanaka 50-kg i loko o kahi eleweka. ʻO ka wikiwiki ma muli o ka umekaumaha = 10m/s²E hoʻoholo i ka ikaika maʻamau i hoʻokau ʻia ma luna o ka mea e ka elevator, inā:

(a) ua hoʻomaha ka elevator

(b) ke neʻe nei ka elevator i lalo ma kahi ka wikiwiki mau

(c) ua hoʻolalelale ʻia ka elevator i luna ma kahi hoʻolalelale mau 5 / s²

(d) ua hoʻolalelale ʻia ka elevator i lalo ma kahi mau 5 m/s²

(e) ka eleweka i loko o kahi hāʻule manuahi

pāʻoihana

ʻIke ʻia:

Ke kanaka nuipa (m) = 50 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s²

Weight (w) = mg = (50)(10) = 500 Newtons

Makemake: Ka ikaika maʻamau (N)

Lōlā:

(a) ua hoʻomaha ka elevator

Ua hoʻomaha ka elevator no laila ʻaʻohe wikiwiki (a = 0)

Koho mākou i ke kuhikuhi i luna ma ke kuhikuhi maikaʻi a me ke kuhikuhi i lalo ma ke kuhikuhi maikaʻi ʻole.

ΣF = ma

N – w = 0

N = w

N = 500 Newton

(b) ke neʻe nei ka elevator i lalo ma ka wikiwiki mau

Ka wikiwiki mau no laila ʻaʻohe wikiwiki (a = 0)

Koho mākou i ke kuhikuhi i luna ma ke kuhikuhi maikaʻi a me ke kuhikuhi i lalo ma ke kuhikuhi maikaʻi ʻole.

ΣF = ma

N – w = 0

N = w

N = 500 Newton

(c) ua hoʻolalelale ʻia ka elevator i luna ma kahi mau 5 m/s²

Piʻi ke kuhikuhi o ka hoʻolalelale ʻana, no laila koho mākou i ke kuhikuhi maikaʻi i luna.

N – w = ma

N = w + ma

N = 500 + (50)(5)

N = 500 + 250

N = 750 Newton

Manaʻo ke kanaka i ka papahele e neʻe ikaika ana i luna ma mua o ka wā e kū ana ka elevator a i ʻole e neʻe ana me ka wikiwiki mau.

Inā kū ke kanaka ma luna o kahi unahi, heluhelu ke unahi i ka nui o ka ikaika i lalo i hoʻokau ʻia e ke kanaka ma ke unahi. Ma ke kānāwai ʻekolu o Newton, ua like kēia me ka nui o ka ikaika maʻamau i luna i hoʻokau ʻia e ke unahi ma luna o ke kanaka.

(d) ua hoʻolalelale ʻia ka elevator i lalo ma kahi mau 5 m/s²

I lalo ke kuhikuhi o ka hoʻolalelale ʻana, no laila koho mākou i ke kuhikuhi maikaʻi i lalo.

w – N = ma

N = w – ma

N = 500 – (50)(5)

N = 500 – 250

N = 250 Newton

He 250 N ke kaumaha o ke kanaka, ʻoi aku ka emi ma mua o ke kaumaha maoli w = 500 N.

(e) ka elevator i ka hāʻule manuahi

ʻO ke ʻano o ka hāʻule manuahi, ʻo ia hoʻi ka wikiwiki o ka elevator e like me ka wikiwiki ma muli o ke koʻikoʻi. ʻO ka nui o ka wikiwiki ma muli o ke koʻikoʻi he 9,8 m/s², ke iho nei kona kuhikuhi i ke kikowaena o ka Honua. Piʻi pololei ka wikiwiki i ka manawa ma 9,8 m/s i kēlā me kēia kekona.

I lalo ke kuhikuhi o ka hoʻolalelale ʻana, no laila koho mākou i ke kuhikuhi maikaʻi i lalo.

w – N = ma

N = w – ma

N = 500 – (50)(10)

N = 500 – 500

N = 0

2. E hoʻoholo i ke kaumaha i loko o ke kaula elevator. ʻO ke kaumaha o ka elevator = 2000 kg.

(a) ua hoʻomaha ka elevator

(B) ua hoʻolalelale ʻia ka elevator i lalo ma ka 5 m/s mau²

(c) Ua hoʻolalelale ʻia ka elevator i luna ma ka 5 m/s mau²

(d) ka elevator i ka hāʻule manuahi

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s²

pāʻoihana

ʻIke ʻia:

Ka nuipa o ka eleweka (m) = 2000 kg

Ka wikiwiki o ke koʻikoʻi (g) = 10 m/s²

kaumaha (w) = mg = (2000)(10) = 20,000 Newtons

Makemake ʻia: Ka ikaika hoʻoluhi (T)

Lōlā:

(a) ua hoʻomaha ka elevator

laulaha ua hoʻomaha no laila ʻaʻohe wikiwiki (a = 0)

Koho mākou i ke kuhikuhi i luna ma ke ʻano he kuhikuhi maikaʻi a me ke kuhikuhi i lalo ma ke ʻano he kuhikuhi maikaʻi ʻole.

ΣF = ma

T – w = 0

T = w

T = 20,000 Newton

ʻO ke kaumaha ma ke kaula (T) = ke kaumaha o ka elevator (w) = 20,000 Newtons

(b) ua hoʻolalelale ʻia ka elevator i lalo ma kahi mau 5 m/s²

I lalo ke kuhikuhi o ka hoʻolalelale ʻana, no laila koho mākou i ke kuhikuhi maikaʻi i lalo.

w – T = ma

T = w – ma

T = 20,000 – (2000)(5)

T = 20,000 – 10,000

T = 10,000 Newton

c) ua hoʻolalelale ʻia ka elevator i luna ma kahi mau 5 m/s²

I lalo ke kuhikuhi o ka hoʻolalelale ʻana, no laila koho mākou i ke kuhikuhi maikaʻi i luna.

T – w = ma

T = w + ma

T = 20,000 + (2000)(5)

T = 20,000 + 10,000

T = 30,000 Newton

(d) ka elevator i ka hāʻule manuahi

I lalo ke kuhikuhi o ka hoʻolalelale ʻana, no laila koho mākou i ke kuhikuhi maikaʻi i lalo.

w – T = ma

T = w – ma

T = 20,000 – (2000)(10)

T = 20,000 – 20,000

T = 0

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1. Ka nuipa a me ke kaumaha
2. Ka ikaika maʻamau
3. Ke kānāwai ʻelua o ka neʻe ʻana o Newton
4. ʻO ka ikaika pili
5. Ka neʻe ʻana ma luna o ka ʻili ākea me ka ʻole o ka ikaika friction
6. ʻO ka neʻe ʻana o nā kino ʻelua me ka wikiwiki like ma luna o ka ʻili pālahalaha ʻinoʻino me ka ikaika friction
7. Neʻe ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ʻole o ka ikaika friction
8. Ka neʻe ʻana ma luna o ka mokulele i hoʻohaʻahaʻa ʻia me ka ikaika friction
9. Neʻe ʻana i loko o kahi elevator
10. Hoʻopili ʻia ka neʻe ʻana o nā kino e nā kaula a me nā pulleys
11. ʻElua mau kino me ka nui like o ka wikiwiki
12. Ke hoʻopuni ʻana i kahi piʻo pālahalaha - nā dinamika o ka neʻe pōʻai
13. Ke hoʻopuni ʻana i kahi piʻo panakō - nā dinamika o ka neʻe pōʻai
14. Neʻe like ʻana ma kahi pōʻai ʻākea
15. Ka ikaika centripetal i ka neʻe pōʻai like

heluhelu hou