Ihe Dynamics iri eji eriri jikọọ n'elu igwe Atwood - Nsogbu na Ngwọta
1. Blọk A nwere oke ibu nke kilogram 5, etinyere ya n'elu mbara kwụ ọtọ dị larịị. Blọk B nwere oke ibu nke kilogram 3 kwụgidere n'otu nsọtụ eriri jikọtara ya na blọk A n'elu pulley. Ọsọ ọsọ nke ike ndọda bụ 10 m/s 2. Gịnị bụ ọsọ ọsọ nke blọk abụọ ahụ?
A maara:
Oke nke ngọngọ A (m)A) = 5 kg
Ibu nke blọk B (m B ) = 3 kg
Ọsọ ọsọ nke ike ndọda (g) = 10 m/s 2
Ibu nke blọk B (w B ) = m B g = (3)(10) = Newtons 30
Achọtara: Ọsọ ọsọ nke blọk abụọ ahụ (a)
Ngwọta:
Ọdụ ahụ kwụ ọtọ dị ire ụtọ, ya mere enweghị ike esemokwu. Ike nke na-eme ka blọk abụọ ahụ dị ngwa bụ ibu nke blọk B.
ΣF = ma
w B = (m A + m B ) a
30 = (5 + 3) a
30 = 8 a
a = 30/8
a = 3.75 m/s 2
2.
Dabere na eserese dị n'elu, 
(1) osooso nke ihe = 0
(2) ihe ahụ na-agagharị n'ọsọ na-agbanwe agbanwe
(3) ihe dị n'izu ike
(4) ihe ahụ na-agagharị ma ọ bụrụ na ibu nke ihe ahụ pere mpe karịa ike nke na-adọkpụ ihe ahụ.
Ngwọta:
(1) Ọsọ ọsọ nke ihe ahụ = 0.
Ike netwọk:
∑ F = ma –> osooso (a) = 0
∑ F = 0
F 1 + F 2 – F 3 = 12 + 24 – 36 = 36 – 36 = 0 N
(2) Ihe ahụ na-agagharị n'ọsọ na-agbanwe agbanwe
Enweghị osooso pụtara ihe na-ezu ike ma ọ bụ na-agagharị na ọsọ na-agbanwe agbanwe.
(3) ihe dị n'izu ike
Enweghị ike net pụtara ihe mgbe ọ zuru ike.
(4) ihe ahụ na-agagharị ma ọ bụrụ na ibu nke ihe ahụ pere mpe karịa ike nke na-adọkpụ ihe ahụ.
Ibu na-arụ ọrụ n'akụkụ kwụ ọtọ, ebe ike ndọda na-arụ ọrụ n'akụkụ kwụ ọtọ.
Ihe ahụ na-agagharị n'akụkụ kwụ ọtọ yabụ naanị ike kwụ ọtọ ndị na-arụ ọrụ na ihe ahụ
3. Ọ bụrụ na oke esemokwu kinetic dị n'etiti blọk A na elu tebụl bụ 0.1. Ọsọ ọsọ nke ike ndọda bụ 10 m/s2, kedu ike na-arụ ọrụ na blọk A ka sistemụ ahụ wee gaa n'aka ekpe na 2 m/s 2.
A maara:
Oke nke ngọngọ A (m)A) = 30 kg
Ibu nke blọk A (w A ) = (30 kg)(10 m/s 2 ) = 300 kg m/s 2 ma ọ bụ 300 Newtons
Ibu nke blọk B (m B ) = 20 kg
Ibu nke blọk B (w B ) = (20 kg)(10 m/s 2 ) = 200 kg m/s 2 ma ọ bụ 200 Newtons
Ọsọ ọsọ nke ike ndọda (g) = 10 m/s 2
Ọnụọgụ nke esemokwu kinetic ( μk ) = 0.1
Ọsọ nke sistemụ (a) = 2 m/s 2 (gaa n'aka ekpe)
Ike nke esemokwu kinetic (f k ) = μ k N = μ k w A = (0.1)(300) = 30 Newtons
Achọsiri ike: Oke ike F
Ngwọta:
Iwu nke abụọ nke Newton:
ΣF = ma
Ihe A na-aga n'aka ekpe:
F – f k – w B = (m A + m B ) a
F – 30 – 200 = (30 + 20)(2)
F – 230 = (50)(2)
F – 230 = 100
F = 230 + 100
F = 330 Newton
4. Ihe abụọ, A = 2 kg na B = 6 kg, ejikọtara n'otu nsọtụ eriri n'elu pulley, dịka egosiri na eserese dị n'okpuru. Ọ bụrụ na osooso n'ihi ike ndọda bụ 10 ms -2 , kedu ihe bụ osooso nke ihe B?
A maara:
Ibu nke ihe A (m)A) = 2 kg, mB = 6 kg, g = 10 m/s2
ibu nke ihe A (w A ) = (m A )(g) = (2)(10) = 20 N
ibu nke ihe B (w B ) = (m B )(g) = (6)(10) = 60 N
Achọrọ: Ọsọ ọsọ nke ihe b (ọsọ ọsọ nke sistemụ).
Ngwọta:
w B > w A ka ihe ahụ B wee gbadaa ala, ihe ahụ A na-aga elu
ΣF = ma
w B – w A = (m A + m B ) a
60 – 20 = (2 + 6) a
40 = (8) a
a = 5 m/s 2
5. Ihe abụọ e ji eriri jikọọ n'elu pulley dị nro, dịka egosiri na foto dị n'okpuru. Ọ bụrụ na m 1 = 1 kg, m 2 = 2 kg, na ọsọ ọsọ nke ike ndọda bụ 10 ms -2 , kedu ihe bụ ike nrụgide T?
A maara:
Ibu nke ihe 1 (m1) = 1 kg
Ibu nke ihe 2 (m2 ) = 2 kg
Ọsọ ọsọ nke ike ndọda (g) = 10 m/s 2
Ibu nke ihe 1 (w 1 ) = m 1 g = (1 kg)(10 m/s 2 ) = 10 kg m/s 2 ma ọ bụ 10 Newtons
Ibu nke ihe 2 (w 2 ) = m 2 g = (2 kg)(10 m/s 2 ) = 20 kg m/s 2 ma ọ bụ 20 Newtons
Achọtara m: Ike nrụgide (T)?
Ngwọta:
w 2 > w 1 yabụ m 2 na-aga ala , m 1 na-aga elu.
Iwu nke abụọ nke mmegharị nke Newton :
ΣF = ma
w 2 – w 1 = (m 1 + m 2 ) a
20 – 10 = (1 + 2) a
10 = (3) a
a = 3.3 m/s 2
Ọsọ ọsọ nke sistemụ ahụ = 3.3 m/s 2.
m 2 na-aga ala:
w 2 – T 2 = m 2 a
20 – T 2 = (2)(3.33)
20 – T 2 = 6.66
T 2 = 20 – 6.66
T 2 = 13.3 Newtons
m 1 na-aga elu:
T 1 – w 1 = m 1 a
T 1 – 10 = (1)(3.3)
T 1 – 10 = 3.33
T 1 = 10 + 3.33
T 1 = 13.3 Newtons
Ike nrụgide (T) = 13.3 Newtons.
6. Oke m 1 = 6 kg na oke m 2 = 4 kg. Elu kwụ ọtọ dị ire ụtọ. Ọsọ ọsọ n'ihi ike ndọda bụ 10 m/s 2. Gịnị bụ ọsọ ọsọ sistemụ ahụ.
A maara:
Ibu nke m1 = 6 n'arọ
oke nke m 2 = 4 kg
osooso n'ihi ike ndọda (g) = 10 m/s 2
Ibu nke w 1 = m 1 g = (6 kg)(10 m/s 2 ) = 60 kg m/s 2 ma ọ bụ 60 Newtons
Ibu nke w 2 = m 2 g = (4 kg)(10 m/s 2 ) = 40 kg m/s 2 ma ọ bụ 40 Newtons
Achọtara: Ọganihu sistemụ (a)
Ngwọta:
m 1 n'elu mbara igwe kwụ ọtọ dị nro na-enweghị esemokwu ka usoro ahụ wee dị ngwa ngwa site na ibu nke blọk 2.
Tinye iwu nke abụọ nke Newton:
∑ F = ma
w 2 = (m 1 + m 2 ) a
40 N = (kilogram 6 + kilogram 4) a
40 N = (10 kg) a
a = 40 N / 10 kg
a = 4 m/s 2
7. Blọk abụọ, blọk ọ bụla nwere ibu nke kilogram abụọ, e ji eriri jikọọ ya n'elu pulley, dịka egosiri na foto dị n'okpuru. Ụgbọelu kwụ ọtọ na pulley dị larịị. Ọ bụrụ na ike kwụ ọtọ nke Newtons 40 dọkpụrụ blọk B, kedu ka ọ ga-esi mee ka blọk ahụ gbapụ ọsọ ọsọ. Ọsọ ọsọ nke ike ndọda bụ 10 m/s 2.
A maara:
oke nke ngọngọ A (m)A) = oke nke ngọngọ B (mB) = 2 kg
Ọsọ ọsọ nke ike ndọda (g) = 10 m/s 2
Ike nke F = 40 N
ibu nke ihe A (w A ) = mg = (2)(10) = 20 N
Achọrọ: Ọsọ ọsọ nke sistemụ (a) ?
Ngwọta:
Tinye iwu nke abụọ nke Newton:
∑ F = ma
F – w A = (m A + m B ) a
40 – 20 = (2 + 2) a
20 = (4) a
a = 20/4
a = 5 m/s 2
8. Oke nke blọk A = 2 kg na oke nke blọk B = 1 kg. Blọk B na mbụ mgbe ọ zuru ike, wee gbadaa ngwa ngwa ruo mgbe ọ dara n'ala. Ọsọ ọsọ nke ike ndọda bụ 10 m/s 2. Kedu ka oke nke ike nrụgide ahụ dị.
A maara:
Oke nke ngọngọ A (m)A) = 2 kg
Ibu nke blọk B (m B ) = 1 kg
Ọsọ ọsọ nke ike ndọda (g) = 10 m/s 2
Ibu nke blọk B (w B ) = m B g = (1)(10) = Newtons 10
Achọtara: Oke ike nrụgide (T)
Ngwọta:
Eleghara ike esemokwu anya.
Ọganihu nke sistemụ (a)
∑ F = ma
w B = (m A + m B ) a
10 = (2 + 1) a
10 = 3 a
a = 10/3
Ike nrụgide (T)
Ike nrụgide dị na ngọngọ A:
∑ F = ma
T = m A a = (2)(10/3) = 20/3 = 6.7 Newtons
Ike nrụgide dị na ngọngọ B:
∑ F = ma
w B – T = m B a
10 – T = (1)(10/3)
10 – T = 3.3
T = 10 – 3.3 = 6.7 Newton
Ike nrụgide (T) = 6.7 Newtons
9. Oke nke blọk A = 2 kg na oke nke blọk B = 1 kg. Ike esemokwu dị n'etiti ihe A na mbara igwe kwụ ọtọ = 2.5 Newtons. Kwụsị esemokwu dị na pulley na eriri. Gịnị bụ ọsọ nke blọk abụọ ahụ.
A maara:
Oke nke ngọngọ A (m)A) = 2 kg
Ibu nke blọk B (m B ) = 1 kg
Ike esemokwu dị n'etiti mkpọchi a na mbara elu kwụ ọtọ (f kA ) = 2.5 Newtons
Ọsọ ọsọ nke ike ndọda (g) = 10 m/s 2
Ibu nke blọk (w B ) = m B g = (1)(10) = Newtons 10
Achọtara: Ọsọ nke blọk abụọ ahụ (a)
Ngwọta:
Tinye iwu nke abụọ nke Newton:
∑ F = ma
w B – f k = (m A + m B ) a
10 – 2.5 = (2 + 1) a
7.5 = 3 a
a = 7.5/3
a = 2.5 m/s 2
10. Ibu nke blọk a = 30 kg, kwụsie ike n'elu ụgbọelu kwụ ọtọ nke ejikọtara ya na blọk B nke nwere ibu nke 10 kg n'elu pulley. Gịnị bụ ọsọ nke sistemụ ahụ. Ọsọ ọsọ nke ike ndọda bụ 10 ms -2.
A maara:
Oke nke ngọngọ A (m)A) = 30 kg
Ibu nke blọk B (m B ) = 10 kg
Ọsọ ọsọ nke ike ndọda (g) = 10 m/s 2
Ibu nke blọk B (w B ) = m B g = (10)(10) = 100 Newtons
Achọtara: Ọganihu sistemụ (a)
Ngwọta:
∑ F = ma
w B = (m A + m B ) a
100 = (30 + 10) a
100 = 40 a
a = 100/40
a = 2.5 m/s 2
