ke kālaikūlohea

1. A capacitor pā-like i loiloi mua ka mana C, ka permittivity o kahi kūʻokoʻa is ε_o, wahi pā is A, ka mamao ma waena o nā papa is d. Ināe ua hoʻonui ʻia ka ʻāpana o ka pā i 4 mau manawa, ʻo ka mamao ma waena o nā pā lilo i 2d a ka permittivity o kahi ākea kūʻokoʻa ʻo 5 kēiaε_o, he aha ka mana hope loa o ka capacitor parallel-plate.

ʻIke ʻia:

ʻO ka mana o ka capacitor = C

ʻO ka permittivity o kahi hakahaka = ε _o

ʻĀpana hope P = A

Ka mamao ma waena o nā papa = d

Makemake ʻia: Ka mana o ka capacitor (C)

Lōlā:

ʻAʻole maopopo

2. ʻO ka capacitor nona ka mana nui loa e pili ana i ke kiʻi ma lalo nei ʻo ia ...

Lōlā:

ʻO ke ʻano o ka capacitor parallel-plate:

Ka mana o nā capacitors:

ʻO ka capacitor nona ka capacitor y nui loa ʻo ia ka capacitor C _3.

ʻAʻole maopopo

3.

E noʻonoʻo i nā kumu aʻe!
(1) Paʻa mau o ka dielectric
(2)ʻO ʻokoʻa hiki ma waena o nā papa
(3) Pā tʻokiʻoki
(4) Ka ʻili o ka pā
(5) Ka mamao ma waena o nā papa
(6) Ka nui o uku uila
Nā mea e pili ana i ka hiki o nā papa like ʻO nā capacitors…

Lōlā:

(1), (4) a me (5)

4. ʻO ka hoʻohālikelike ʻana o ka mana o ka capacitor 1 a me 2…

ʻIke ʻia:

Kapena 1:

ʻĀpana ʻili = 2A

Ka mamao ma waena o nā papa = d ₁

Kapena 2:

ʻĀpana ʻili = A

ʻO ka mamao ma waena o nā papa = 2 d ₁

Makemake ʻia: Ka hoʻohālikelike ʻana o ka mana o nā capacitors 1 a me 2

Lōlā:

ʻAʻole maopopo

5.

E hoʻoholo i ka hoʻohālikelike ʻana o ka mana o ka capacitor Parallel-plate I a me II.

Lōlā:

Hoʻohālikelike o ka mana o nā capacitors Parallel-plate I a me II:

ʻAʻole maopopo

6. ʻElua mau capacitors pā like i hōʻike ʻia ma ke kiʻi ma lalo nei.

Inā ʻo A ₁ = ½ A ₂ a me d ₂ = 3 d ₁ a laila e hoʻoholo i ka lakio o nā mana o ka capacitor parallel-plate ma waena o ke kiʻi 2 a me ke kiʻi 1.

ʻIke ʻia:

Ka mea hoʻopili pā-like I:

A ₁ = 1

d ₁ = 1

Ka mea hoʻopili pā like II:

A ₂ = 2

d ₂ = 3

Makemake ʻia: ka lakio o nā mana o ka capacitor parallel-plate ma waena o ke kiʻi 2 a me ke kiʻi 1

Lōlā:

Ka mea hoʻopili pā-like I:

Ka mea hoʻopili pā like II:

ʻO ka lakio o nā mana o nā capacitors parallel-plate II a me I:

heluhelu hou

1. E hoʻoholo i ka hiki ke uila ma kahi kiko i loaʻa ma 1 cm mai kahi hoʻopiʻi 5.0 μ C. ʻO ke kūpaʻa Coulomb (k) = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C.

ʻIke ʻia:

ʻO ka mamao mai ka hoʻouka ʻana (r) = 1 kenimika = 1/100 m = 0.01 m = 10 ^-2 m

Hoʻouka (q) = 5.0 μ C = 5.0 x 10 ^-6 C

ʻO ke kūpaʻa Coulomb (k) = 9 x 10 ⁹ Nm ² C ⁻²

Makemake ʻia: Ka hiki ke uila (V)

Lōlā:

Ka hiki ke uila:

ʻO ka hiki ke uila he 4.5 x 10 ⁶ Volts

ʻAʻole maopopo

2. kauoha Q₁ = 5.0 μC a hoʻouku Q₂ = 6.0 μC. ʻO ke kūpaʻa o Coulomb (k) = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C. Aia ke kiko A ma waena o nā uku. E hoʻoholo i ka hiki ke uila ma ke kiko A.

ʻIke ʻia:

Hoʻouka Q ₁ = -5.0 μ C = -5.0 x 10 ^-6 C

ʻO ka mamao o ke kiko A mai Q ₁ = 10 kenimika = 0.1 m = 10 ^-1 m

Hoʻouka Q ₂ = 6.0 μ C = 6.0 x 10 ^-6 C

ʻO ka mamao o ke kiko a mai Q ₂ = 10 kenimika = 0.1 m = 10 ^-1 m

ʻO ke kūpaʻa o Coulomb (k) = 9 x 10 ⁹ Nm ² C ⁻²

Makemake ʻia: Ka hiki ke uila ma ke kiko A

Lōlā:

Ka hiki ke uila 1 :

Ka hiki ke uila 2 :

Ka hiki ke uila ma ke kiko A :

V = V ₂ – V ₁

V = (54 – 45) x 10 ⁴

V = 9 x ¹⁰⁴

ʻAʻole maopopo

3. kauoha q₁ = 5.0 μC a hoʻouku q₂ = 6.0 μC. ʻO ke kūpaʻa o Coulomb (k) = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C. E hoʻoholo i ka hiki ke uila ma ke kiko A.

ʻIke ʻia:

Hoʻouka Q ₁ = -5.0 μ C = -5.0 x 10 ^-6 C

ʻO ka mamao o ke kiko A mai Q ₁ = 40 kenimika = 0.4 m = 4 x 10 ^-1 m

Hoʻouka Q ₂ = 6.0 μ C = 6.0 x 10 ^-6 C

ʻO ka mamao o ke kiko A mai Q ₂ = 50 kenimika = 0.5 m = 5 x 10 ^-1 m

ʻO ke kūpaʻa o Coulomb (k) = 9 x 10 ⁹ Nm ² C ⁻²

Makemake ʻia: Ka hiki ke uila ma ke kiko A

Lōlā:

Ka hiki ke uila 1 :

Ka hiki ke uila 2 :

Ka hiki ke uila ma ke kiko A :

_V = _V1 + V2

V = (-11.25 + 10.8) x ¹⁰⁴

V = -0.45 x ¹⁰³

V = -4.5 x ¹⁰³

ʻO ka hiki ke uila ma ke kiko A he -4.5 x 10 ³ Volts

heluhelu hou

1. Hoʻolalelale ʻia kahi uila mai ka hoʻomaha ʻana ma o kahi ʻokoʻa hiki o 12 V. He aha ka loli o ka ikehu hiki uila o ka uila?

ʻIke ʻia:

ʻO ka uku ma luna o kahi electron (e) = -1.60 x 10 ^-19 Coulomb

Ka hiki ke uila = voltage (V) = 12 Volts

Makemake ʻia: ʻO ka loli o ka ikehu hiki ke uila o ka electron (ΔPE)

Lōlā:

ΔPE = q V = (-1.60 x 10 ^-19 C)(12 V) = -19.2 x 10 ^-19 Joules

Hōʻike ka hōʻailona minus e emi ana ka ikehu hiki.

ʻAʻole maopopo

2. Ua hoʻouka ʻia ʻelua mau papa like. ʻO ka mamao ma waena o nā papa he 2 cm a ʻo ka nui o ke kahua uila ma waena o nā papa he 500 Volt/mika. He aha ka loli o ka ikehu hiki o ka proton i ka wā e hoʻolalelale ʻia ai mai ka papa i hoʻopiʻi maikaʻi ʻia i ka papa i hoʻopiʻi maikaʻi ʻole ʻia.

ʻIke ʻia:

ʻO ka nui o ke kahua uila ma waena o nā papa (E) = 500 Volt/mika

ʻO ka mamao ma waena o nā papa (s) = 2 kenimika = 0,02 m

ʻO ke kumukūʻai ma luna o ka proton = +1.60 x 10 ^-19 Coulombs

Makemake ʻia: ʻO ka loli o ka ikehu hiki ke uila (ΔPE)

Lōlā:

Ka hiki ke uila:

V = E s

V = (500 Volt/m)(0.02 m)

V = 10 Volt

Ka loli o ka ikehu hiki ke uila:

ΔPE = q V

ΔPE = (1,60 x 10 ^-19 C)(10 V)

ΔPE = 16 x 10 ^-19 Joule

ΔPE = 1.6 x 10 ^{-1 8} Joule

ʻAʻole maopopo

3. Ua hoʻokaʻawale ʻia nā uku kiko ʻelua e kahi mamao o 10 cm. ʻO ka uku ma ke kiko A = +9 μC a ʻo ka uku ma ke kiko B = -4 μC. k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C. He aha ka loli o ka ikehu hiki ke uila o ka uku ma ke kiko B inā e hoʻolalelale ʻia i ke kiko A?

ʻIke ʻia:

Hoʻouka A (q ₁ ) = +9 μC = +9 x 10 ⁻⁶ C

Hoʻouka B (q ₁ ) = -4 μC = -4 x 10 ⁻⁶ C

k = 9 x 10 ⁹ Nm ² C ⁻²

ʻO ka mamao ma waena o nā uku A a me B (r) = 10 kenimika = 0.1 m = 10 ^-1 m

Makemake ʻia: ʻO ka loli o ka ikehu hiki ke uila (ΔEP)

Lōlā:

heluhelu hou

1. Hele kahi kahua uila like E = 8000 N/C ma o kahi ʻāpana huinahā pālahalaha A = 10 m2 ^. E hoʻoholo i ke kahe uila.

ʻIke ʻia:

ʻO ka nui o ke kahua uila (E) = 8000 N/C

ʻĀpana (A) = 10 ^m2

θ = 0 ^o (ke kihi ma waena o ke kuhikuhi o ke kahua uila a me kahi laina i kaha ʻia i kū pololei i ka ʻāpana)

Makemake ʻia: Kahe uila ( Φ)

Lōlā:

ʻO ke ʻano o ka flux uila:

Φ = EA cos q

Φ = ka holo ʻana o ke uila ( Nm ² /C) , E = ke kahua uila (N/C), A = ka ʻāpana (m ² ), q = ke kihi ma waena o ka laina kahua uila a me ka laina maʻamau.

Kahe uila:

Φ = EA cos q = (8000)(10)( cos 0) = (8000)(10)(1 ) = 80,000 = 8 x 10 ⁴ Nm ² /C

ʻAʻole maopopo

2. Hele kahi kahua uila like E = 5000 N/C ma waena o kahi ʻāpana huinahā pālahalaha A = 2 m2 ^. E hoʻoholo i ke kahe uila.

ʻIke ʻia:

Kahua uila (E) = 5000 N/C

ʻĀpana (A) = 2 ^m2

θ = 60 ^o (ke kihi ma waena o ke kuhikuhi o ke kahua uila a me kahi laina i kaha ʻia i kū pololei i ka ʻāpana)

Makemake ʻia: Kahe uila ( Φ)

Lōlā:

Kahe uila:

Φ = EA cos q = (5000)(2)( cos 60) = (5000)(2)(0.5 ) = 5000 = 5 x 10 ³ Nm ² /C

ʻAʻole maopopo

3. He pōpō paʻa me ka radius 0.5 mika he 10 μC ka uku uila ma kona kikowaena. E hoʻoholo i ke kahe uila e hele ana ma o ka pōpō paʻa.

ʻIke ʻia:

Ka laulā o ka pōpō (r) = 0.5 m

Uku uila (Q) = 10 μC = 10 x 10 ^-6 C

Makemake ʻia: Kahe uila ( Φ)

Lōlā:

Kahua uila:

E = kq/r ²

E = (9 x 10 ⁹ Nm ² /C ² )( 10 x 10 ^-6 C) / 0.5 ²

E = (90 x ¹⁰³ ) / 0,25

E = 360 x ¹⁰³

E = 3.60 x 105 ^N /C

ʻĀpana ʻili:

A = 4 π r ² = 4 (3.14)(0.5) ² = (12.56)(0.25) = 3.14 m ²

Kahe uila:

Kū pololei nā laina kahua uila i ka ʻāpana, no laila ʻo ke kihi ma waena o ke kuhikuhi o ke kahua uila a me kahi laina i kaha ʻia kū pololei i ka ʻāpana, he 0 ^o.

Φ = EA cos q

Φ = ( 3.60 x 10 ⁵ )( 3.14 )( cos 0)

Φ = (11.304 x 10 ⁵ )(1)

Φ = 11.304 x 10 ⁵

Φ = 1.13 x 106 ^{Nm2 /} C

heluhelu hou

1. E helu i ka nui a me ke kuhikuhi o ke kahua uila ma kahi kiko A i loaʻa ma 5 cm mai kahi hoʻouku kiko Q = +10 μC. k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C)

ʻIke ʻia:

Uku uila (Q) = +10 μC = +10 x 10 ^-6 C

ʻO ka mamao ma waena o ke kiko A a me ka uku kiko Q (r _A ) = 5 kenimika = 0.05 m = 5 x 10 ^-2 m

k = 9 x 10 ⁹ Nm ² C ⁻²

Makemake ʻia: Ka nui a me ke kuhikuhi o ke kahua uila ma ke kiko A

Lōlā:

ʻO ke kuhikuhi o ke kahua uila ma ke kiko A:

He maikaʻi ka hoʻouku uila no laila ua mamao aku ke kuhikuhi o ke kahua uila mai ka hoʻouku uila a me nā kiko A.

ʻAʻole maopopo

2. E helu i ka nui a me ke kuhikuhi o ke kahua uila ma kahi kiko P i loaʻa ma 10 cm mai kahi hoʻouku kiko Q = -2 0 μC. k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C.

ʻIke ʻia:

Uku uila (q) = -20 μC = -20 x 10 ^-6 C

ʻO ka mamao ma waena o ke kiko P a me ka uku uila (r _P ) = 10 kenimika = 0.1 m = 1 x 10 ^-1 m

k = 9 x 10 ⁹ Nm ² C ⁻²

Makemake ʻia: Ka nui a me ke kuhikuhi o ke kahua uila ma ke kiko P

Lōlā:

Ke kuhikuhi o ke kahua uila ma ke kiko A:

He maikaʻi ʻole ka hoʻouku uila no laila ke kuhikuhi o ke kahua uila i ka hoʻouku uila.

ʻAʻole maopopo

3. Ua hoʻokaʻawale ʻia nā uku kiko ʻelua e kahi mamao o 40 kenimika. He aha ka nui a me ke kuhikuhi o ke kahua uila ma ke kiko P ma waena o nā uku ʻelua, ʻo ia hoʻi he 20 kenimika mai ke kiko A?

ʻIke ʻia:

Hoʻouku A (q _A ) = -2 μC = -2 x 10 ^-6 C

Hoʻouka B (q _B ) = + 4 μC = +4 x 10 ^-6 C

ʻO ka mamao ma waena o ka uku A a me ke kiko P (r _AP ) = 20 kenimika = 0.2 m = 2 x 10 ^-1 m

ʻO ka mamao ma waena o ka uku B a me ke kiko P (r _BP ) = 20 kenimika = 0.2 m = 2 x 10 ^-1 m

Makemake ʻia: Ka nui a me ke kuhikuhi o ke kahua uila ma ke kiko P.

Lōlā:

He maikaʻi ʻole ka hoʻouku ʻana A i ʻole e kuhikuhi ʻia ke kuhikuhi o nā kiko o ke kahua uila iā Q _A (ma ka hema).

He maikaʻi ka hoʻouku B i ʻole e mamao aku ke kuhikuhi o nā kiko o ke kahua uila mai QB ₍ ma ka hema).

ʻO ke kahua uila holoʻokoʻa ma ke kiko A:

E = _EA + _EB

E = (4.5 x 105 ⁾ + (9 x ¹⁰⁵ )

E = 13.5 x 105 ^N /C

Ke kuhikuhi nei ke kuhikuhi o ke kahua uila iā Q _A (ma ka hema).

ʻAʻole maopopo

4. ʻO ka nui o ke kahua uila he ʻole ma…

He maikaʻi ka hoʻouku A a he maikaʻi ka hoʻouku B i ʻole ka nui o ke kahua uila he ʻole ma kahi P, ma waena o nā hoʻouku ʻelua.

ʻIke ʻia:

Hoʻouka A (q _A ) = + 20 μC = +20 x 10 ⁻⁶ C

Hoʻouka B (q _B ) = +40 μC = +40 x 10 ⁻⁶ C

k = 9 x 10 ⁹ Nm ² C ⁻²

ʻO ka mamao ma waena o ka uku A a me ka uku B = 20 kenimika

ʻO ka uku ma waena o ka uku A a me ke kiko P (r _AP ) = a

ʻO ka mamao ma waena o ka uku B a me ke kiko P (r _BP ) = 20 – a

Makemake ʻia: ʻO ka nui o ke kahua uila he ʻole aia ma….

Lōlā:

ʻO ka nui o ke kahua uila i hana ʻia e ka uku A ma kahi P

He maikaʻi ke kumukūʻai A i ʻole e mamao aku ke kuhikuhi o nā kiko o ke kahua uila mai ka kumukūʻai A (i ka ʻākau).

ʻO ka nui o ke kahua uila i hana ʻia e ka uku B ma kahi P:

He maikaʻi ka hoʻouku B i ʻole e mamao aku ke kuhikuhi o nā kiko kahua uila mai ka hoʻouku B (ma ka hema).

ʻO ke kahua uila holoʻokoʻa ma ke kiko P = 0:

Hoʻohana mākou i ke ʻano haʻilula quadratic e hoʻoholo ai i ka a.

ʻO ka nui o ke kahua uila he ʻole aia ma 8 kenimika mai ka hoʻopiʻi A a i ʻole 12 kenimika mai ka hoʻopiʻi B.

ʻAʻole maopopo

5. Ma muli o ke kiʻi ma lalo nei, ʻo wai ke kiko P i ʻole ai ke kahua uila ma ke kiko P? (k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C)

pāʻoihana

Te helu i ka ikaika o ke kahua uila ma kahi P, me ka manaʻo ma kahi P aia kahi hoʻouku hoʻāʻo maikaʻi. Q₁ he maikaʻi a ʻo Q₂ he maikaʻi ʻole, no laila pono ke kiko P ma ka ʻākau o Q₂ a i ʻole ma ka hema o Q₁Inā aia ke kiko P ma ka hema o Q₁; ke kahua uila i hana ʻia e Q₁ ma ke kiko ʻo P ma ka hema (mamao aku o Q₁) a me ke kahua uila i hana ʻia e Q₂ ma ke kiko P ma ka ʻākau (e pili ana iā Q₁). ʻOkoʻa ke kuhikuhi o ke kahua uila i hoʻopau ai nā kahua uila ʻelua kekahi i kekahi i ʻole ka ikaika o ke kahua uila ma ke kiko P he ʻole.

ʻIke ʻia:

Q ₁ = +9 μC = +9 x 10 ⁻⁶ C

Q ₂ = -4 μC = -4 x 10 ⁻⁶ C

k = 9 x 10 ⁹ Nm ² C ⁻²

Ka mamao ma waena o ka hoʻouka kaua 1 a me ka hoʻouka kaua 2 = 3 kenimika

Ka mamao ma waena o Q ₁ a me ke kiko P (r _1P ) = a

Ka mamao ma waena o Q ₂ a me ke kiko P (r _2P ) = 3 + a

Makemake ʻia: kahi o ke kiko P i ʻole ai ke kahua uila ma ke kiko P

Lōlā:

Aia ke kiko P ma ka ʻaoʻao hema o Q ₁.

ʻO ke kahua uila i hana ʻia e Q ₁ ma kahi P:

He maikaʻi ka hoʻouku hoʻāʻo a he maikaʻi ʻo Q ₁ i ʻae ʻia ke kuhikuhi o ke kahua uila i ka hema.

ʻO ke kahua uila i hana ʻia e Q ₂ ma kahi P:

He maikaʻi ka hoʻouku hoʻāʻo a he maikaʻi ʻole ʻo Q ₂ i ʻākau ke kuhikuhi o ke kahua uila.

Kahua uila ʻupena ma ke kiko A:

E hoʻohana i ke ʻano quadratic e hoʻoholo ai i kahi:

a = -1.25, b = -13.5, c = -20.25

Ka mamao ma waena o Q ₂ a me ke kiko P (r _2P ) = 3 + a = 3 – 1.8 = 1.2 kenimika.

Aia ke kiko P ma ka ʻākau o 1.2 kenimika o Q ₁.

ʻAʻole maopopo

heluhelu hou

1. ʻElua mau hoʻopiʻi kiko, Q_A = +8 μC a me Q_B = -5 μC, ua hoʻokaʻawale ʻia e kahi mamao r = 10 cm. He aha ka nui o ka ikaika uilaʻO ke kūpaʻa k = 8.988 x 10⁹ Nm²C^-2 = 9x10⁹ Nm²C^-2.

ʻIke ʻia:

Hoʻouka A (q _A ) = +8 μC = +8 x 10 ^-6 C

Hoʻouka B (q _B ) = -5 μC = -5 x 10 ^-6 C

k = 9 x 10 ⁹ Nm ² C ⁻²

ʻO ka mamao ma waena o nā uku A a me B (r _AB ) = 10 kenimika = 0.1 m

Makemake ʻia : Ka nui o ka ikaika uila

Lōlā:

ʻO ke ʻano o ke kānāwai o Coulomb :

Ka nui o ka ikaika uila:

ʻAʻole maopopo

2. ʻElua mau ʻāpana i hoʻopiʻi ʻia e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. Ua hoʻokaʻawale ʻia ʻo Q _P = +10 μC a me Q _q = +20 μC e kahi mamao r = 10 cm. He aha ka nui o ka ikaika electrostatic.

ʻIke ʻia:

Hoʻouka P (Q _P ) = +10 μC = +10 x 10 ^-6 C

Hoʻouka Q (Q _Q ) = +20 μC = +20 x 10 ^-6 C

k = 9 x 10 ⁹ Nm ² C ⁻²

ʻO ka mamao ma waena o nā uku P a me Q (r _PQ ) = 12 kenimika = 0.12 m = 12 x 10 ^-2 m

Makemake ʻia: Ka nui o ka ikaika uila

Lōlā:

ʻAʻole maopopo

3. Ua hoʻonohonoho ʻia ʻekolu mau ʻāpana i hoʻopiʻi ʻia ma kahi laina e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. ʻO ke kumukūʻai A = -5 μC, ʻo ke kumukūʻai B = +10 μC a me ke kumukūʻai C = -12 μC. E helu i ka ikaika electrostatic net ma ka ʻāpana B ma muli o nā kumukūʻai ʻelua ʻē aʻe.

ʻIke ʻia:

Hoʻouka A (q _A ) = -5 μC = -5 x 10 ^-6 C

Hoʻouka B (q _B ) = +10 μC = +10 x 10 ^-6 C

Hoʻouka C (q _C ) = -12 μC = -12 x 10 ^-6 C

k = 9 x 10 ⁹ Nm ² C ⁻²

ʻO ka mamao ma waena o nā ʻāpana A a me B (r _AB ) = 6 kenimika = 0.06 m = 6 x 10 ^-2 m

ʻO ka mamao ma waena o nā ʻāpana B a me C (r _BC ) = 4 cm = 0.04 m = 4 x 10 ^-2 m

Makemake ʻia: ʻO ka nui a me ke kuhikuhi o ka ikaika electrostatic net ma ka ʻāpana B

Lōlā:

ʻO ka ikaika ʻupena ma ka ʻāpana B ka huina vector o ka ikaika F _BA i hoʻokau ʻia ma luna o ka ʻāpana B e ka ʻāpana A a me ka ikaika F _BC i hoʻokau ʻia ma luna o ka ʻāpana B e ka ʻāpana C.

ʻO ka ikaika F _BA i hoʻokau ʻia ma luna o ka ʻāpana B e ka ʻāpana A:

 

Kuhikuhi ke kuhikuhi o ka ikaika electrostatic i ka ʻāpana A (kuhikuhi i ka hema).

ʻO ka ikaika F _BC i hoʻokau ʻia ma luna o ka ʻāpana B e ka ʻāpana A:

 

Kuhikuhi ke kuhikuhi o ka ikaika electrostatic i ka ʻāpana C (kuhikuhi i ka ʻākau).

ʻO ka ikaika electrostatic net ma ka ʻāpana B :

F _B = F _AB – F _BC = 675 N – 125 N = 550 Newtons.

ʻO ke kuhikuhi o ka ikaika electrostatic upena ma ka ʻāpana B e kuhikuhi ana i ka ʻāpana C (e kuhikuhi ana i ka ʻākau).

ʻAʻole maopopo

4. Ua hoʻokaʻawale ʻia ʻo +Q ₁ = 10 μC, +Q ₂ = 50 μC a me Q ₃ e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. He aha ka uku electrostatic ma ka ʻāpana 3 inā ʻaʻohe ka ikaika electrostatic net ma ka ʻāpana 2.

ʻIke ʻia:

Hoʻouka 1 (q ₁ ) = +10 μC = +10 x 10 ^-6 C

Hoʻouka 2 (q ₂ ) = +50 μC = +50 x 10 ^-6 C

ʻO ka mamao ma waena o nā uku 1 a me 2 (r ₁₂ ) = 2 kenimika = 0.02 m = 2 x 10 ^-2 m

ʻO ka mamao ma waena o ka hoʻouka 2 a me ka hoʻouka 3 (r ₂₃ ) = 6 kenimika = 0.06 m = 6 x 10 ^-2 m

ʻO ka ikaika electrostatic net ma ka ʻāpana 2 (F ₂ ) = 0

Makemake ʻia : hoʻouka 3 (q ₃ )

Lōlā:

ʻO ka ikaika ʻupena ma ka ʻāpana 2 ka huina vector o ka ikaika F ₂₁ i hoʻokau ʻia ma ka ʻāpana 2 e ka ʻāpana 1 a me ka ikaika F ₂₃ i hoʻokau ʻia ma ka ʻāpana 2 e ka ʻāpana 3.

ʻO ka ikaika F ₂₁ i hoʻokau ʻia ma luna o ka ʻāpana 2 e ka ʻāpana 1:

Kuhikuhi ke kuhikuhi o ka ikaika electrostatic i ka ʻāpana 3 (kuhikuhi i ka ʻākau).

ʻO ka ikaika F₂₃ i hoʻokau ʻia ma ka ʻāpana 2 e ka ʻāpana 3: 

Kuhikuhi ke kuhikuhi o ka ikaika electrostatic i ka ʻāpana 1 (kuhikuhi i ka hema).

ʻO ka ikaika electrostatic net ma ka ʻāpana 2 = 0:

heluhelu hou

1. Ke wili nei kahi mea me ka manawa inertia o 2 kg m ² ma 1 rad/s. He aha ka momentum angular o ka mea?

ʻIke ʻia:

Manawa o ka inertia ⁽ I) = 2 kg m²

Ka wikiwiki kihi ( ω ) = 1 rad/s

Makemake ʻia: Momentum angular (L)

Lōlā:

ʻO ke ʻano o ka momentum angular:

L = I ω

L = ka momentum angular (kg m ² /s), I = ka manawa o ka inertia (kg m ² ), ω = ka wikiwiki angular (rad/s)

ʻO ka momentum angular:

L = I ω = (2)(1) = 2 kg m ² /s

ʻAʻole maopopo

2. Ke wili nei kahi pulley cylinder 2- kg me ka radius o 0.1 m i ka wikiwiki angular mau o 2 rad/s. He aha ka momentum angular o ka pulley?

ʻIke ʻia:

Ka nuipa o ka pulley (m) = 2 kg

Ka laulā o ka pulley (r) = 0.1 m

Ka wikiwiki kihi (ω) = 2 r ad/s

Makemake ʻia: Momentum angular

Lōlā:

ʻO ke ʻano o ka manawa o ka inertia no ka cylinder paʻa:

ʻO wau = 1/2 mr ²

ʻO I = ka manawa o ka inertia (kg m ² ), m = ka nuipa (kg), r = ka radius (m)

Manawa o ka inertia:

ʻO I = 1/2 (2)(0.1) ² = (1)(0.01) = 0.01 kg m ²

ʻO ka wikiwiki kihi:

L = I ω = ( 0.01 )( 2 ) = 0.02 kg m ² /s

ʻAʻole maopopo

3. Ke wili nei kahi poepoe like 2-kg me ka radius o 0.2 m ma 4 rad/s. He aha ka momentum angular o ka pōpō.

ʻIke ʻia:

Ka nuipa o ka pōpō (m) = 2 kg

Ka laulā o ka pōpō (r) = 0.2 m

Ka wikiwiki kihi (ω) = 4 ra d/s

Makemake ʻia: Momentum angular

Lōlā:

ʻO ke ʻano o ka manawa o ka inertia no ka poepoe like:

ʻO wau = (2/5) mr ²

ʻO I = ka manawa t o ka inertia (kg m ² ), m = ka nuipa (kg), r = ka radius (m)

ʻO ka manawa o ka inertia no ka poepoe like:

ʻO I = (2/5)(2)(0.2) ² = (4/5)(0.04) = 0.032 kg m ²

ʻO ka momentum angular o ka sphere:

L = I ω = ( 0.032 )( 4 ) = 0.128 kg m² ^/ s

ʻAʻole maopopo

4. Ke wili nei kahi ʻāpana 1-kg i ka wikiwiki angular mau o 2 rad/s. He aha ka wikiwiki angular inā he 10 cm ka radius o ka pōʻai.

ʻIke ʻia:

Ka nuipa o ka mea (m) = 1 kg

ʻO ke anawaena o ka pōʻai (r) = 10 kenimika = 10/100 = 0.1 m

ʻO ka wikiwiki kihi (ω) = 2 rad/ s

Makemake ʻia: Momentum angular

Lōlā:

ʻO ke ʻano o ka manawa o ka inertia no nā ʻāpana:

ʻO I = mr ² = (1)(0.1) ² = (1)(0.01) = 0.01 kg m ²

Ka ikaika kihi:

L = I ω = (0.01)(2) = 0.02 kg m ² /s

heluhelu hou

1. He 1 kg m² ka manawa o ^ka inertia o kahi mea a wili ʻo ia ma ka wikiwiki angular mau o 2 rad/s. He aha ka ikehu kinetic rotational o ka mea?

ʻIke ʻia:

^{ʻO ka} manawa o ka inertia (I) = 1 kg m²

ʻO ka wikiwiki angular ( ω) = 2 rad/s

Makemake ʻia: ʻO ka ikehu kinetic rotational (K E )

Lōlā:

ʻO ke ʻano o ka ikehu kinetic rotational:

KE = 1/2 I ω ²

KE = ka ikehu kinetic rotational (kg m²/s²), ʻo wau = ka manawa o ka inertia (kg m²), ω = ka wikiwiki kihi (rad/s)

ʻO ka ikehu kinetic rotational:

KE = 1/2 I ω ² = 1/2 (1)(2) ² = 1/2 (1)(4) = 2 Joule

ʻAʻole maopopo

2. Ke wili nei kahi pulley cylinder 20-kg me ka radius o 0.2 m i ka wikiwiki angular mau o 4 rad/s. He aha ka ikehu kinetic rotational o ka pulley?

ʻIke ʻia:

Ke kaumaha o ka pulley cylinder (m) = 20 k g

ʻO ke anawaena o ka paukūʻolokaʻa (r) = 0.2 m

ʻO ka wikiwiki kihi (ω) = 4 ra d/s

Makemake ʻia: He aha ka ikehu kinetic rotational

Hoʻonā;

ʻO ke ʻano o ka manawa o ka inertia o ka cylinder:

ʻO wau = 1/2 mr ²

ʻO I = ka manawa o ka inertia ( kg m ² ), m = ka nuipa (kg), r = ka radius (mika)

ʻO ka manawa inertia o ka pulley cylinder:

ʻO I = 1/2 (20)(0.2) ² = (10)(0.04) = 0.4 kg m ²

ʻO ka ikehu kinetic rotational o ka pulley:

KE = 1/2 I ω ² = 1/2 (0.4)(4) ² = (0.2)(16) = 3.2 Joule

ʻAʻole maopopo

3. He pōpō A- 10 kg me ka radius o 0.1 m e wili ana ma kahi kūpaʻa o 10 rad/s. He aha ka ikehu kinetic o ka pōpō.

ʻIke ʻia:

Ka nuipa o ka pōpō (m) = 10 kg

Ka laulā o ka pōpō (r) = 0.1 m

Ka wikiwiki angular (ω) = 10 r ad/s

Makemake ʻia: Ka ikehu kinetic rotational

Lōlā:

Ke ʻano o ka manawa o ka inertia:

ʻO wau = (2/5) mr ²

ʻO I = ka manawa o ka inertia (kg m ² ), m = ka nuipa (kg), r = ka radius (m)

Ka manawa o ka inertia o ka pōpō:

ʻO I = (2/5)(10)(0.1) ² = (4)(0.01) = 0.04 kg m ²

ʻO ka ikehu kinetic rotational o ka pōpō:

K E = 1/2 I ω ² = 1/2 (0.04)(10) ² = (0.02)(100) = 2 Joule

ʻAʻole maopopo

4. Ke wili nei kahi ʻāpana 0.5- kg i ka wikiwiki angular mau o 2 rad/s. He aha ka ikehu kinetic rotational o ka ʻāpana inā he 10 cm ka radius o ka pōʻai.

ʻIke ʻia:

Ka nuipa o ka ʻāpana (m) = 0.5 k g

ʻO ke anawaena o ka pōpō (r) = 10 kenimika = 10/100 = 0.1 m

ʻO ka wikiwiki kihi (ω) = 2 rad/ s

Makemake ʻia: Ka ikehu kinetic rotational

Lōlā:

Manawa o ka inertia no nā ʻāpana:

ʻO I = mr ² = (0.5)(0.1) ² = (0.5)(0.01) = 0.005 kg m ²

ʻO ka ikehu kinetic rotational:

K E = 1/2 I ω ² = 1/2 (0.005)(2) ² = 1/2 (0.005)(4) = (0.005)(2) = 0.01 Joule

heluhelu hou

1. Hoʻopili ʻia kahi ikaika F i ke kaula i wahī ʻia a puni kahi pulley cylinder. ʻO ka torque he 2 N m a ʻo ka moment of inertia he 1 kg m ² , he aha ka wikiwiki angular o ka cylinder.

ʻIke ʻia:

ʻO ka ikaika ( τ ) = 2 N m

ʻO ka manawa o ka inertia (I) = 1 kg ^m²

Makemake ʻia: Ka wikiwiki o ke kihi o ka cylinder

Lōlā:

Στ = I α

Στ = ʻupena torque, I = ka manawa o ka inertia, α = ka wikiwiki ʻana

Ka wikiwiki ʻana o ke kinikini:

α = Στ / I = 2 / 1 = 2 rad/s ²

ʻAʻole maopopo

2. Hoʻopili ʻia kahi ikaika F i ke kaula i kāʻei ʻia a puni kahi pulley cylinder. ʻO ka nui o ka ikaika he 10 N, ʻo ka radius o ka cylinder he 0.2 m a ʻo ka manawa o ka inertia he 1 kg m 2, He aha ka wikiwiki angular o ka cylinder?

ʻIke ʻia:

Ikaika (F) = 10 N

Ka laulā o ka paukūʻolokaʻa (R) = 0.2 m

ʻO ka manawa o ka inertia (I) = 1 kg ^m²

Makemake ʻia: Ka wikiwiki angular o ka cylinder.

Lōlā:

τ = FR

τ = torque, F = ikaika, R = radius o ka cylinder

Torque:

τ = FR = (1 0 N)(0.2 m) = 2 N m

Στ = I α

Στ = ʻupena torque, I = ka manawa o ka inertia, α = ka wikiwiki ʻana

Ka wikiwiki ʻana o ke kinikini:

α = Στ / I = 2 / 1 = 2 rad/s ²

ʻAʻole maopopo

3. Hoʻopili ʻia kahi ikaika F i ke kaula i wahī ʻia a puni kahi pulley cylinder. ʻO ka nui o ka ikaika he 10 N, ʻo ke radius o ka cylinder he 0.2 m a ʻo ke kaumaha o ka cylinder he 20 kg m ^2, . He aha ka wikiwiki angular o ka cylinder.

ʻIke ʻia:

Ikaika (F) = 10 N

Ka laulā o ka paukūʻolokaʻa (R) = 0.2 m

Ka nuipa o ka paukūʻolokaʻa (M) = 20 kg

Makemake ʻia: Hoʻolalelale angular o ka cylinder

Lōlā:

τ = FR = (1 0 N)(0.2 m) = 2 N m

Manawa o ka inertia:

ʻO I = 1⁄2 MR ² = 1⁄2 (20)(0.2) ² = 1⁄2 (20)(0.04) = 0.4 kg m ²

Ka wikiwiki ʻana o ke kinikini:

α = Στ / I = 2 / 0.4 = 5 rad/s ²

ʻAʻole maopopo

4. He poloka 1-kg e kau ana mai ke kaula i wahī ʻia a puni kahi pulley cylinder. ʻO ka manawa o ka inertia o ka pulley he 1 kg ^m² a ʻo ka radius o ka pulley he 0.2 m. He aha ka wikiwiki angular o ka pulley. ʻO ka wikiwiki ma muli o ke umekaumaha he 10 m/ ^s².

ʻIke ʻia:

Manawa o ka inertia o ka pulley (I) = 1 kg ^m²

Ka nuipa o ka poloka (m) = 1 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s ²

Kaumaha (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 N

Ka laulā o ka pulley (R) = 0.2 m

Makemake ʻia: Hoʻolalelale angular

Lōlā:

Torque:

τ = FR = w R = (1 0 N)(0.2 m) = 2 N m

Manawa o ka inertia:

ʻO I = 1 kg ^m²

Hoʻolalelale kihi:

α = Στ / I = 2 / 1 = 2 rad/s ²

ʻAʻole maopopo

5. He poloka 1-kg e kau ana mai ke kaula i wahī ʻia a puni kahi pulley cylinder. ʻO ke kaumaha o ka pulley he 20 kg a ʻo ka radius o ka pulley he 0,2 m. He aha ka wikiwiki angular o ka pulley a me ka wikiwiki hāʻule manuahi o ka poloka. ʻO ka wikiwiki ma muli o ke umekaumaha he 10 m/ ^s².

ʻIke ʻia:

Ka nuipa o ka pulley (M) = 20 kg

Ka laulā o ka pulley (R) = 0,2 m

Ka nuipa o ka poloka (m) = 1 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s ²

Kaumaha (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 N

Makemake ʻia: ka wikiwiki angular o ka pulley a me ka wikiwiki hāʻule manuahi o ka poloka.

Lōlā:

ʻO ka torque:

τ = FR = w R = (1 0 N)(0.2 m) = 2 N m

ʻO ka manawa inertia o ka pulley cylinder:

ʻO I = 1⁄2 MR ² = 1⁄2 (20)(0.2) ² = (10)(0.04) = 0.4 kg m ²

ʻO ka wikiwiki kihi o ka pulley:

α = Στ / I = 2 / 0.4 = 5 rad/s ²

ʻO ka wikiwiki o ka hāʻule manuahi o ka poloka:

a = R α = (0.2)(5) = 1 m/s ²

heluhelu hou

ʻO ka manawa o ka inertia o ka ʻāpana

1. He pōpō 100-kalama i hoʻopili ʻia i kekahi wēlau o ke kaula me ka lōʻihi o 30 kenimika. He aha ka manawa o ka inertia o ka pōpō e pili ana i ke axis o ka wili AB? E hoʻowahāwahā i ke kaumaha o ke kaula.

ʻIke ʻia:

ʻO ke axis o ka wili ma AB

Ka nuipa o ka pōpō (m) = 100 grams = 100/1000 = 0.1 kg

ʻO ka mamao ma waena o ka pōpō a me ke koʻi o ka wili (r) = 30 kenimika = 0.3 m

Makemake ʻia: Manawa o ka inertia o ka pōpō (I)

Lōlā:

ʻO I = mr ² = (0.1 kg)(0.3 m) ²

ʻO wau = (0.1 kg)(0.09 ^m² )

ʻO I = 0.009 kg ^m²

ʻAʻole maopopo

2. He pōpō 100-kalama, m1 , a me kahi pōpō 200-kalama, m2 _{, i hoʻopili ʻia e kahi koʻokoʻo me ka} lōʻihi o 60 cm. Hoʻowahāwahā ʻia ke kaumaha o ke koʻokoʻo. Aia ke axis o ka wili ma ke kikowaena o ke koʻokoʻo. He aha ka manawa o ka inertia o ka pōpō e pili ana i ke axis o ka wili?

ʻIke ʻia:

Ka nuipa o ka pōpō 1 (m1 ₎ = 100 grams = 100/1000 = 0.1 kg

ʻO ka mamao o ka pōpō 1 a me ke axis o ka wili (r ₁ ) = 30 cm = 30/100 = 0.3 m

Ka nuipa o ka pōpō (m2 ₎ = 200 grams = 200/1000 = 0.2 kg

ʻO ka mamao o ka pōpō 2 a me ke axis o ka wili (r ₂ ) = 30 cm = 30/100 = 0.3 m

Makemake ʻia: ka manawa o ka inertia o nā pōpō

Pane:

ʻO I = m ₁ r ₁ ² + m ₂ r ₂ ²

ʻO I = (0.1 kg)( 0.3 m) ² + (0.2 kg)( 0.3 m) ²

ʻO I = (0.1 kg)( 0.09 m² ⁾ + (0.2 kg)( 0.09 ^m² )

ʻO I = 0.009 kg ^m² + 0.018 kg ^m²

ʻO I = 0.027 kg ^m²

ʻAʻole maopopo

3. He pōpō 200-kalama, m1 a me kahi pōpō 100-kalama, m2 _{, i hoʻopili ʻia e kahi koʻokoʻo me ka} lōʻihi o 60 kenimika. Hoʻowahāwahā i ke kaumaha o ke koʻokoʻo. Aia ke axis o ka wili ma ka pōpō m2 _. He aha ka manawa o ka inertia o nā pōpō. Hoʻowahāwahā i ke kaumaha o ke koʻokoʻo.

ʻIke ʻia:

Ka nuipa o ka pōpō 1 (m1 ₎ = 2 00 grams = 200/1000 = 0.2 kg

ʻO ka mamao ma waena o ka pōpō 1 a me ke axis o ka wili (r ₁ ) = 60 cm = 60/100 = 0.6 m

Ka nuipa o ka pōpō 2 (m2 ₎ = 100 grams = 100/1000 = 0.1 kg

ʻO ka mamao ma waena o ka pōpō 2 a me ke axis o ka wili (r ₂ ) = 0 m

Makemake ʻia: Manawa o ka inertia o nā pōpō

Lōlā:

ʻO I = m ₁ r ₁ ² + m ₂ r ₂ ²

ʻO I = (0.2 kg)( 0,6 m) ² + (0.2 kg)(0 ) ²

ʻO I = (0.2 kg)( 0.36 ^m² ) + 0

ʻO I = 0.072 kg ^m²

ʻAʻole maopopo

4. ʻO ke kaumaha o kēlā me kēia pōpō he 100 grams, i hoʻopili ʻia e ke kaula. ʻO ka lōʻihi o ke kaula he 60 cm a ʻo ka laulā o ke kaula he 30 cm. He aha ka manawa o ka inertia o ka pōpō e pili ana i ke axis o ka wili. E hoʻowahāwahā i ke kaumaha o ke kaula.

ʻIke ʻia:

Ka nuipa o ka pōpō = m1 ₌ m2 ₌ m3 ₌ m4 ₌ 1 00 grams = 100/1000 = 0.1 kg

ʻO ka mamao ma waena o ka pōpō a me ke axis o ka wili (r ₁ ) = 30 cm = 30/100 = 0.3 m

ʻO ka mamao ma waena o ka pōpō 2 a me ke axis o ka wili (r ₂ ) = 30 cm = 30/100 = 0.3 m

ʻO ka mamao ma waena o ka pōpō 3 a me ke axis o ka wili (r ₃ ) = 30 cm = 30/100 = 0.3 m

ʻO ka mamao ma waena o ka pōpō 4 a me ke axis o ka wili (r ₄ ) = 30 cm = 30/100 = 0.3 m

ʻIke ʻia: Manawa o ka inertia

Lōlā:

ʻO wau = m₁ r₁² +m₂ r₂² +m₃ r₃² +m₄ r₄²

ʻO I = (0.1 kg)( 0.3 m) ² + (0.1 kg)( 0.3 m) ² + (0.1 kg)(0.3 m) ² + (0.1 kg)(0.3 m) ²

ʻO I = (0.1 kg)( 0.09 m² ⁾ + (0.1 kg)(0.09 m² ⁾ + (0.1 kg)(0.09 m² ⁾ + (0.1 kg)(0.09 ^m² )

ʻO I = 0.036 kg ^m²

ʻAʻole maopopo

ʻO ka manawa o ka inertia o kahi mea paʻa

5. He aha ka manawa o ka inertia o kahi koʻokoʻo like 2-kg ka lōʻihi me ka lōʻihi o 2 m. Aia ke axis o ka wili ma ke kikowaena o ke koʻokoʻo.

ʻIke ʻia:

Ka nuipa o ke koʻokoʻo (M) = 2 kg

ʻO ka lōʻihi o ke koʻokoʻo (L) = 2 m

Makemake ʻia: Manawa o ka inertia

Lōlā:

ʻO ke ʻano o ka manawa o ka inertia ke kau ʻia ke axis o ka rotation ma ke kikowaena o ke koʻokoʻo lōʻihi like:

ʻO wau = (1/12) ML ²

ʻO wau = (1/12) (2 kg)( 2 m) ²

ʻO wau = (1/12) (2 kg)(4 ^m² )

ʻO wau = (1/12)(8 kg ^m² )

ʻO I = 8/12 kg ^m²

ʻO I = 2/3 kg ^m²

ʻAʻole maopopo

6. He aha ka manawa o ka inertia o kahi koʻokoʻo like 2-kg ka lōʻihi me ka lōʻihi o 2 m? Aia ke axis o ka wili ma kekahi wēlau o ke koʻokoʻo.

ʻIke ʻia:

Ka nuipa o ke koʻokoʻo (M) = 2 kg

ʻO ka lōʻihi o ke koʻokoʻo paʻa (L) = 2 m

Makemake ʻia: Manawa o ka inertia

Lōlā:

ʻO ke ʻano hana no ka manawa o ka inertia ke kau ʻia ke axis o ka rotation ma kekahi wēlau o ke koʻokoʻo:

ʻO wau = (1/3) ML ²

ʻO wau = (1/3) (2 kg)( 2 m) ²

ʻO wau = (1/3) (2 kg)(4 ^m² )

ʻO wau = (1/3)(8 kg ^m² )

ʻO I = 8/3 kg ^m²

ʻAʻole maopopo

7. He cylinder paʻa 10-kg me ka radius o 0.1 m. Aia ke axis o ka wili ma ke kikowaena o ka cylinder paʻa, i hōʻike ʻia ma ke kiʻi ma lalo nei. He aha ka manawa o ka inertia o ka cylinder?

ʻIke ʻia:

Ka nuipa o ka paukū paʻa (M) = 10 kg

Ka laulā o ka paukūʻolokaʻa (L) = 0.1 m

Makemake ʻia: Ka manawa o ka inertia

Makemake ʻia: Ka manawa o ka inertia

Lōlā:

ʻO ke ʻano o ka manawa o ka inertia ke kau ʻia ke axis o ka rotation ma ke kikowaena o ka cylinder:

ʻO wau = (1/2) MR ²

ʻO wau = (1/2) (10 kg)(0.1 m) ²

ʻO wau = (1/2) (10 kg)(0.01 ^m² )

ʻO wau = (1/2)(0.1 kg ^m² )

ʻO I = 0.05 kg ^m²

8. He poepoe like he 20-kg me ka lōʻihi o 0.1 m. Ua hōʻike ʻia ke axis o ka wili ma ke kikowaena o ka poepoe ma ke kiʻi ma lalo nei.

ʻIke ʻia:

Ka nuipa o ka poepoe (M) = 20 kg

ʻO ke anawaena o ka poepoe (L) = 0.1 m

Makemake ʻia: kahi manawa o ka inertia

Lōlā:

ʻO ke ʻano o ka manawa o ka inertia ke kau ʻia ke axis o ka rotation ma ke kikowaena o ka poepoe:

ʻO wau = (2/5) MR ²

ʻO wau = (2/5)(20 kg)(0.1 m) ²

ʻO wau = (2/5)(20 kg)(0.01 ^m2 )

ʻO wau = (2/5)(0.2 kg ^m² )

ʻO I = 0.4/5 kg ^m²

ʻO I = 0.08 kg ^m²

ʻAʻole maopopo

9. He papa lahilahi huinahā 2-kg me ka lōʻihi o 0.5 m a me ka laulā o 0.2 m. Aia ke axis o ka wili ma ke kikowaena o ka papa huinahā i hōʻike ʻia ma ke kiʻi ma lalo nei. He aha ka manawa o ka inertia o ka huinahā?

ʻIke ʻia:

Ka nuipa o ka papa huinahā (M) = 2 kg

ʻO ka lōʻihi o ka pā (a) = 0.5 m

ʻO ka laulā o ka pā (b) = 0.2 m

Makemake ʻia: Manawa o ka Inertia

Lōlā:

ʻO ke ʻano o ka manawa o ka inertia ke kau ʻia ke axis o ka rotation ma ke kikowaena o ka pā:

ʻO I = (1/12 ) M (a ² + b ² )

ʻO wau = (1/12)(2)(0.5 ² + 0.2 ² )

ʻO wau = (2/12)(0.25 + 0.04)

ʻO wau = (1/6)(0.29)

ʻO I = 0.29/6 kg ^m²

heluhelu hou