Isibonelo sesikhathi sokungahlali kahle

Izibonelo ezingu-25 zemibuzo yesikhathi sokungahlali kahle

Isikhathi Sokungabi Naso Isisindo Senhlayiya

1. Ibhola elinobunzima obungamagremu ayi-100 lixhunywe entanjeni enobude obungamasentimitha angu-30 njengoba kuboniswe esithombeni. Isikhathi sokungalali kahle ibhola elizungeze i-axis AB...
Ingxoxo
Isibonelo sesikhathi sokungakhathali 1Kuyaziwa ukuthi:
I-axis yokujikeleza yi-AB
Isisindo sebhola (m) = 100 amagremu = 100/1000 = 0,1 amakhilogremu
Ibanga lebhola ukusuka ku-axis yokujikeleza (r) = 30 cm = 0,3 amamitha
Kubuziwe: Isikhathi sokungakhathali kwebhola (I)
Impendulo:
Mina = uMnu.2 = (0,1 kg)(0,3 m)2
I = (0,1 kg)(0,09 m2)
I = 0,009 kg m2

2. Isisindo sebhola m1 ingu-100 amagremu kanti isisindo sebhola singu-m2 Amabhola amabili axhunywe ngocingo olude olungamasentimitha angu-60 olunobunzima obuncane. I-axis ye-AB itholakala phakathi nocingo. Isikhathi sokungapheleli kwamabhola amabili azungeze i-axis ye-AB…
Ingxoxo
Isibonelo sesikhathi sokungakhathali 2Kuyaziwa ukuthi:
Isisindo sebhola 1 (m1) = amagremu ayi-100 = 100/1000 = 0,1 amakhilogremu
Ibanga lebhola 1 ukusuka ku-axis yokujikeleza (r)1) = 30 cm = 30/100 = 0,3 amamitha
Isisindo sebhola 2 (m2) = amagremu ayi-200 = 200/1000 = 0,2 amakhilogremu
Ibanga lebhola 2 ukusuka ku-axis yokujikeleza (r)2) = 30 cm = 30/100 = 0,3 amamitha
Kubuziwe: Isikhathi sokungakhathali kohlelo lwamabhola amabili
Impendulo:
Mina = m1 r12 +m2 r22
I = (0,1 kg)(0,3 m)2 + (0,2 kg)(0,3 m)2
I = (0,1 kg)(0,09 m2) + (0,2 kg)(0,09 m2)
I = 0,009 kg m2 + 0,018 kg m2
I = 0,027 kg m2

3. Isisindo sebhola m1 ingu-200 amagremu kanti isisindo sebhola singu-m2 ingamagremu ayi-100. Amabhola amabili axhunywe ngocingo oluyi-60 cm ubude futhi isisindo salo asinakwa. I-axis ye-AB itholakala ebholeni m2Isikhathi sokungahlali kahle kwesistimu yamabhola amabili azungeze i-AB axis…
Ingxoxo
Isibonelo sesikhathi sokungakhathali 3Kuyaziwa ukuthi:
Isisindo sebhola 1 (m1) = amagremu ayi-200 = 200/1000 = 0,2 amakhilogremu
Ibanga lebhola 1 ukusuka ku-axis yokujikeleza (r)1) = 60 cm = 60/100 = 0,6 amamitha
Isisindo sebhola 2 (m2) = amagremu ayi-100 = 100/1000 = 0,1 amakhilogremu
Ibanga lebhola 2 ukusuka ku-axis yokujikeleza (r)2) = 0 amamitha
Kubuziwe: Isikhathi sokungakhathali kohlelo lwamabhola amabili
Impendulo:
Mina = m1 r12 +m2 r22
I = (0,2 kg)(0,6 m)2 + (0,2 kg)(0)2
I = (0,2 kg)(0,36 m2) + 0
I = 0,072 kg m2

4. Ibhola ngalinye linesisindo esingamagremu ayi-100 futhi lixhunywe ngocingo olunesisindo esincane kakhulu. Ubude bocingo bungama-60 cm kanti ububanzi bungama-30 cm. Nquma isikhathi sokungabi namandla kohlelo lwebhola mayelana ne-AB axis…
Ingxoxo
Isibonelo sesikhathi sokungakhathali 4Kuyaziwa ukuthi:
Isisindo sebhola 1 (m1) = m2 = m3 = m4 = amagremu ayi-100 = 100/1000 = 0,1 amakhilogremu
Ibanga lebhola 1 ukusuka ku-axis yokujikeleza (r)1) = 30 cm = 30/100 = 0,3 amamitha
Ibanga lebhola 2 ukusuka ku-axis yokujikeleza (r)2) = 30 cm = 30/100 = 0,3 amamitha
Ibanga lebhola 3 ukusuka ku-axis yokujikeleza (r)3) = 30 cm = 30/100 = 0,3 amamitha
Ibanga lebhola 4 ukusuka ku-axis yokujikeleza (r)4) = 30 cm = 30/100 = 0,3 amamitha
Kubuziwe: Isikhathi sokungakhathali kohlelo lwebhola
Impendulo:
Mina = m1 r12 +m2 r22 +m3 r32 +m4 r42
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
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)
I = 0,036 kg m2

5. Bheka isithombe esingezansi. Izinhlayiya ezine, ngayinye inobunzima obungu-4m (ebangeni elingu-r ukusuka enkabeni), 3m (ebangeni elingu-r ukusuka enkabeni), 2m (ebangeni elingu-2r ukusuka enkabeni), 2m (ebangeni elingu-r ukusuka enkabeni). Uhlelo lusendizeni ye-xy. Uma uhlelo lujikelezwe nge-x-axis, khona-ke umzuzu wokungapheleli kohlelo…
A. 5 m rumzuzu wokungalali kahle 1
B. 7 m r     
C. 5 m r2
D. 6 m r2
E. 7 m r2

Ingxoxo:
I-Diketahui :
Kuyaziwa ukuthi:
m1 = 4m (ibanga r ukusuka enkabeni), m2 = 3m (ibanga r ukusuka enkabeni), m3 = 2m (ibanga 2r ukusuka enkabeni), m4 = 2m (ibanga r ukusuka enkabeni)
Kubuziwe :
Isikhathi sokungakhathali (I)?
Jawab :
Ifomula yesikhathi sokungabi namandla kwenhlayiya :
Mina = uMnu.2
Uhlelo lujikeleziswa nge-x-axis ukuze u-m2 kanye no-m4 ikwi-axis yokujikeleza. Ngoba ikwi-axis yokujikeleza, r2 kanye no-r4 ibiza u-zero.
I1 = m1 r12 = 4mr2
I2 = m2 r22 = 3m (0)2 = 0
I3 = m3 r32 = 2m (2r)2 = 2m (4r2) = 8mr2
I4 = m4 r42 = 2m (0)2 = 0
Isikhathi sokungahlali kahle kwesistimu :
Mina = Mina1 + Mina2 + Mina3 + Mina4
I = 4mr2 + 8mr2
I = 12mr2

6. I-Rod AB inesisindo esingu-3 kg uma ijikeleziswa ku-B, umzuzu wayo wokungaxineki ungama-27 kg m2Uma kujikeleziswa ku-C, umzuzu wokungahlali isikhathi eside uba…
A. 70 kg m2
B. 76 kg m2umzuzu wokungalali kahle 2
C. 92 kg m2
D. 98 kg m2
E. 108 kg m2
Ingxoxo:

I-Diketahui :
m = 3 kg
IB = 27 kg m2
Kubuziwe :
IC ?
Jawab :
IB = uMnu.2
27 kg m2 = (3 kg)(r2)
27 kg m2 / 3 kg = r2
9 m2 =r2
r = 3 m
Ubude AB = ubude AC = amamitha angu-3

Isikhathi Sokungabi Naso induku uma ijikeleziswa ku-C:
IC = uMnu.2
IC = (3 kg)(6 m)2
IC = (3 kg)(36 m2) = 108 kg m2

7.

I-Rotational dynamics (isikhathi sokungakhathali) - Ingxoxo yemibuzo nezimpendulo ze-2013 National Physics Exam yezikole zamabanga aphezulu - 1Amabhola amabili, abhekwa njengezinhlayiya, axhunywe ngentambo yocingo njengoba kuboniswe esithombeni. Uma ubuningi bamabhola u-P no-Q bungamagremu angu-600 kanye namagremu angu-400 ngokulandelana, khona-ke isikhathi sokungapheleli kwesistimu yamabhola amabili azungeze i-axis AB…

A. 0,008 kg.m2
B. 0,076 kg.m2
C. 0,124 kg.m2
D. 0,170 kg.m2
E. 0,760 kg.m2

Ingxoxo
I-Diketahui :
Isisindo sebhola P (mP) = amagremu angu-600 = 0,6 kg
Isisindo sebhola Q (mQ) = amagremu angu-400 = 0,4 kg
Ibanga lebhola P ukusuka ku-axis yokujikeleza (r)P) = 20 cm = 0,2 amamitha
Ibanga lebhola Q ukusuka ku-axis yokujikeleza (r)Q) = 50 cm = 0,5 amamitha
Kubuziwe : Isikhathi sokungalali kahle (I) uhlelo maqondana ne-axis noma i-axis yokujikeleza i-AB
Jawab :

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Ifomula yesikhathi sokungabi namandla kwenhlayiya :
Mina = uMnu.2
Incazelo: I = umzuzu wokungabi namandla, m = isisindo sezinhlayiya, r = ibanga lezinhlayiya kusukela ku-axis yokujikeleza
Isikhathi sokungakhathali kwebhola P
IP = (mP)(rP2) = (0,6)(0,2)2 = (0,6)(0,04) = 0,024 kg m2
Isikhathi sokungakhathali kwebhola Q
IQ = (mQ)(rQ2) = (0,4)(0,5)2 = (0,4)(0,25) = 0,1 kg m2
Isikhathi sokungahlali kahle kwesistimu yezinhlayiya :
Mina = MinaP + MinaQ = 0,024 + 0,1 = 0,124 kg m2
Impendulo efanele ngu-C.

8.

I-Rotational dynamics (isikhathi sokungakhathali) - Ingxoxo yemibuzo nezimpendulo ze-2013 National Physics Exam yezikole zamabanga aphezulu - 2Amabhola amabili axhunywe yintambo (isisindo sentambo asinakwa) ahlelwe njengoba kuboniswe esithombeni. Ubukhulu besikhathi sabo sokungakhathali bungu…

A. 20 x 10-3 kg.m2
B. 25 x 10-3 kg.m2
C. 11 x 10-2 kg.m2
D. 55 x 10-2 kg.m2
E. 80 x 10-2 kg.m2

Ingxoxo
I-Diketahui :
Isisindo sebhola A (mA) = amagremu angu-200 = 0,2 kg
Isisindo sebhola B (mB) = amagremu angu-400 = 0,4 kg
Ibanga eliphakathi kwebhola A kanye ne-axis yokujikeleza (r)A= = 0
Ibanga eliphakathi kwebhola B kanye ne-axis yokujikeleza (r)B) = 25 cm = 0,25 amamitha
Kubuziwe : Isikhathi sokungahlali kahle (I) kwesistimu
Jawab :
Isikhathi sokungakhathali kwebhola A
IA = (mA)(rA2) = (0,2)(0)2 = 0
Isikhathi sokungakhathali kwebhola B
IB = (mB)(rB2) = (0,4)(0,25)2 = (0,4)(0,0625) = 0,025 kg m2
Isikhathi sokungahlali kahle kwesistimu yezinhlayiya :
Mina = MinaA + MinaB = 0 + 0,025 = 0,025 kg m2 = 25 x10-3 kg m2
Impendulo efanele ingu-B.

9.
I-Rotational dynamics (isikhathi sokungakhathali) - Ingxoxo yemibuzo nezimpendulo ze-2013 National Physics Exam yezikole zamabanga aphezulu - 3Bheka isithombe samabhola amabili axhunywe yintambo. Ubude bentambo = 12 m, l1 = 4 m futhi isisindo sentambo singanakwa, khona-ke ubukhulu besikhathi sokungabi namandla kwesistimu…
A. 52,6 kg m2
B. 41,6 kg m2
C. 34,6 kg m2
D. 22,4 kg m2
E. 20,4 kg m2
Ingxoxo
I-Diketahui :
Isisindo sebhola A (mA) = 0,2 kg
Isisindo sebhola B (mB) = 0,6 kg
Ibanga eliphakathi kwebhola A kanye ne-axis yokujikeleza (r)A) = 4 amamitha
Ibanga eliphakathi kwebhola B kanye ne-axis yokujikeleza (r)B) = 12 – 4 = amamitha angu-8
Kubuziwe : Isikhathi sokungahlali kahle (I) kwesistimu
Jawab :
Isikhathi sokungakhathali kwebhola A
IA = (mA)(rA2) = (0,2)(4)2 = (0,2)(16) = 3,2 kg m2
Isikhathi sokungakhathali kwebhola B
IB = (mB)(rB2) = (0,6)(8)2 = (0,6)(64) = 38,4 kg m2
Isikhathi sokungahlali kahle kwesistimu yezinhlayiya :
Mina = MinaA + MinaB = 3,2 + 38,4 = 41,6 kg m2
Impendulo efanele ingu-B.

Isikhathi Sokungabi Naso Isibindi Somzimba Oqinile

10. Induku eqinile inobunzima obungama-2 kg kanye nobude obungamamitha amabili. Thola isikhathi sokungangeni kwenduku uma i-axis yokujikeleza itholakala phakathi kwenduku!
Ingxoxo
Isibonelo sesikhathi sokungakhathali 5Kuyaziwa ukuthi:
Isisindo senduku eqinile (M) = 2 kg
Ubude besiqu esiqinile (L) = amamitha amabili
Kubuziwe: Isikhathi sokungalali kahle
Impendulo:
Ifomula yesikhathi sokungahlali kahle kwenduku uma i-axis yokujikeleza itholakala phakathi kwenduku:
I = (1/12) ML2
I = (1/12) (2 kg)(2 m)2
I = (1/12) (2 kg)(4 m2)
I = (1/12)(8 kg m2)
I = 8/12 kg m2
I = 2/3 kg m2

11. Induku eqinile inobunzima obungama-2 kg kanye nobude obungamamitha amabili. Thola isikhathi sokungapheleli kwenduku uma i-axis yokujikeleza itholakala ekugcineni kwenduku!
Ingxoxo
Isibonelo sesikhathi sokungakhathali 6Kuyaziwa ukuthi:
Isisindo senduku eqinile (M) = 2 kg
Ubude besiqu esiqinile (L) = amamitha amabili
Kubuziwe: Isikhathi sokungalali kahle
Impendulo:
Ifomula yesikhathi sokungabi namandla kwenduku uma i-axis yokujikeleza itholakala ekugcineni kwenduku:
I = (1/3) ML2
I = (1/3) (2 kg)(2 m)2
I = (1/3) (2 kg)(4 m2)
I = (1/3)(8 kg m2)
I = 8/3 kg m2

12. Thola isikhathi sokungabi namandla kwediski eqinile enesisindo esingu-10 kg kanye nerediyasi yamamitha angu-0,1, uma i-axis yokujikeleza iphakathi kwediski, njengoba kuboniswe esithombeni!
Ingxoxo
Isibonelo sesikhathi sokungakhathali 7Kuyaziwa ukuthi:
Isisindo sediski eqinile (M) = 10 kg
Irediyasi yediski eqinile (L) = amamitha angu-0,1
Kubuziwe: Isikhathi sokungahlali kahle kwediski eqinile
Impendulo:
Ifomula yesikhathi sokungabi namandla kwenduku uma i-axis yokujikeleza itholakala maphakathi nediski:
I = (1/2) ML2
I = (1/2) (10 kg)(0,1 m)2
I = (1/2) (10 kg)(0,01 m2)
I = (1/2)(0,1 kg m2)
I = 0,05 kg m2

13. Thola isikhathi sokungabi namandla kwebhola eliqinile elinesisindo esingu-20 kg kanye nerediyasi yamamitha angu-0,1, uma i-axis yokujikeleza iphakathi nebhola, njengoba kuboniswe esithombeni!
Ingxoxo
Isibonelo sesikhathi sokungakhathali 8Kuyaziwa ukuthi:
Isisindo sebhola eliqinile (M) = 20 kg
Irediyasi yebhola eliqinile (L) = 0,1 amamitha
Kubuziwe: Isikhathi sokungalali kahle
Impendulo:
Ifomula yesikhathi sokungabi namandla kwenduku uma i-axis yokujikeleza itholakala maphakathi nendilinga eqinile:
I = (2/5) ML2
I = (2/5)(20 kg)(0,1 m)2
I = (2/5)(20 kg)(0,01 m2)
I = (2/5)(0,2 kg m2)
I = 0,4/5 kg m2
I = 0,08 kg m2

14. Thola isikhathi sokungabi namandla kwebhola elincane, elingenalutho elinesisindo esingu-0,5 kg kanye nerediyasi yamamitha angu-0,1, uma i-axis yokujikeleza iphakathi nebhola, njengoba kuboniswe esithombeni!
Ingxoxo
Isibonelo sesikhathi sokungakhathali 9Kuyaziwa ukuthi:
Isisindo sebhola elincane (M) = 0,5 kg
Irediyasi yesiyingi esincane (L) = amamitha angu-0,1
Kubuziwe: Ifomula yesikhathi sokungakhathali
Impendulo:
Ifomula yesikhathi sokungabi namandla kwenduku uma i-axis yokujikeleza itholakala maphakathi nebhola elincane:
I = (2/3) ML2
I = (2/3) (0,5 kg)(0,1 m)2
I = (2/3) (0,5 kg)(0,01 m2)
I = (2/3)(0,005 kg m2)
I = 0,01/3 kg m2

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15. Ipuleti eliqinile elingunxande linobunzima obungu-2 kg, ubude obungu-0,5 amamitha kanye nobubanzi obungu-0,2 amamitha. Thola isikhathi sokungapheleli kwepuleti eliqinile uma i-axis yokujikeleza iphakathi nendawo yepuleti, njengoba kuboniswe esithombeni!
Ingxoxo
Isibonelo sesikhathi sokungakhathali 10Kuyaziwa ukuthi:
Isisindo sepuleti eliqinile elingunxande (M) = 2 kg
Ubude bepuleti (a) = amamitha angu-0,5
Ububanzi bepuleti (b) = amamitha angu-0,2
Kubuziwe: Ifomula yesikhathi sokungakhathali
Impendulo:
Ifomula yesikhathi sokungapheleli kwepuleti eliqinile elingunxande uma i-axis yokujikeleza itholakala maphakathi nepuleti eliqinile:
I = (1/12) M (a2 + b2)
I = (1/12)(2)(0,52 + 0,22)
I = (2/12)(0,25 + 0,04)
I = (1/6)(0,29)
I = 0,29/6 kg m2

16. Okulandelayo yisitatimende mayelana nezici zokunyakaza kokujikeleza.

(1) Ijubane le-Angular

(2) Indawo ye-axis yokujikeleza

(3) Isimo sento

(4) Isisindo sento

Izici ezithonya ubukhulu besikhathi sokungahlali isikhathi eside...

A. (1), (2), (3) kanye no (4)

B. (1), (2) kanye no-(3)

C. (1), (3) kanye no-(4)

D. (2), (3) kanye no (4)

E. (2) kanye no-(4) kuphela

Ingxoxo

Ifomula yesikhathi sokungakhathali:

I = Σm r2

Incazelo: m = isisindo sento, r = ibanga ukusuka ku-axis yokujikeleza.

Ngokusekelwe kule fomula, kuphethwa ngokuthi umzuzu we-inertia uthonywa yindawo ye-axis yokujikeleza (2) kanye nobunzima bento (4).

Impendulo efanele ngu-E.

17. Amabhola amabili, abhekwa njengezinhlayiya, axhunywe ngentambo yocingo njengoba kuboniswe esithombeni. Uma ubuningi bamabhola u-P no-Q bungamagremu angu-600 kanye namagremu angu-400 ngokulandelana, khona-ke isikhathi sokungapheleli kwesistimu yamabhola amabili azungeze i-axis AB…

Ingxoxo ngomzuzu wokungahlali kahle 1

A. 0,008 kg m2

B. 0,076 kg m2

C. 0,124 kg m2

D. 0,170 kg m2

E. 0,760 kg m2

Ingxoxo

I-Diketahui :

I-axis yokujikeleza yi-AB.

mp = amagremu angu-600 = 0,6 kg, mq = amagremu angu-400 = 0,4 kg

rp = 20 cm = 0,2 m, rq = 50 cm = 0,5 m

Kubuziwe : Isikhathi sokungahlali kahle kwesistimu?

Jawab :

Mina = mp rp2 +mq rq2

I = (0,6 kg)(0,2 m)2 + (0,4 kg)(0,5 m)2

I = (0,6 kg)(0,04 m2) + (0,4 kg)(0,25 m2)

I = 0,024 kg m2 + 0,1 kg m2

I = 0,124 kg m2

Impendulo efanele ngu-C.

18. Isikhathi sokungahlali kahle kwento ejikeleza endaweni ethile sithonywa...

A. isisindo sento

B. ivolumu yento

C. ukuminyana kwento

D. ukusheshisa kwe-angular kokujikeleza

Ijubane lokuqala le-angular E.

Ingxoxo

Ifomula yesikhathi sokungakhathali:

I = ∑mr2

Incazelo: I = umzuzu wokungabi namandla, m = isisindo, r = ibanga ukusuka ku-axis yokujikeleza

Impendulo efanele ngu-A.

19. I-Rod AB enesisindo esingu-2 kg ijikeleziswa ngephuzu A kanti umzuzu wayo wokungakhathali ungama-8 kg m2Uma kujikeleziswa endaweni ephakathi O (AO = OB), umzuzu wokungahlali kahle uba...

A. 2 kg m2Ingxoxo ngomzuzu wokungahlali kahle 2

B. 4 kg m2

C. 8 kg m2

D. 12 kg m2

E. 16 kg m2

Ingxoxo

Kuyaziwa ukuthi:

Isisindo senduku AB (m) = 2 kg

Uma kujikelezwe ngephuzu A ukuze irediyasi yokujikeleza (r) = ibanga AB = r khona-ke umzuzu we-inertia (I) = 8 kg m2

Kubuziwe: Uma ijikeleziswa ngephuzu O ukuze irediyasi yokujikeleza (r) = ibanga AO = ibanga OB = 1/2 r khona-ke umzuzu we-inertia uba (I) = ……

Impendulo:

Mina = uMnu.2

8 kg m2 = (2 kg) r2

8 m2 = (2) r2

r2 = 8m2 / 2

r2 = 4m2

r = 2 imitha

Uma ijikeleziswa ngephuzu O ukuze i-1/2 r = imitha eli-1, khona-ke umzuzu we-inertia uba:

Mina = uMnu.2 = (2 kg)(1 m)2 = (2 kg)(1 m2) = 2 kg m2

Impendulo efanele ngu-A.

20. Amabhola amabili, abhekwa njengezinhlayiya, axhunywe ngentambo yocingo njengoba kuboniswe esithombeni. Uma ubuningi bamabhola u-P no-Q bungamagremu angu-600 kanye namagremu angu-400 ngokulandelana, khona-ke isikhathi sokungapheleli kwesistimu yamabhola amabili azungeze i-axis AB…

A. 0,008 kg.m2Ingxoxo ngomzuzu wokungahlali kahle 3

B. 0,076 kg.m2

C. 0,124 kg.m2

D. 0,170 kg.m2

E. 0,760 kg.m2

Ingxoxo

I-Diketahui :

Isisindo sebhola P (mP) = amagremu angu-600 = 0,6 kg

Isisindo sebhola Q (mQ) = amagremu angu-400 = 0,4 kg

Ibanga lebhola P ukusuka ku-axis yokujikeleza (r)P) = 20 cm = 0,2 amamitha

Ibanga lebhola Q ukusuka ku-axis yokujikeleza (r)Q) = 50 cm = 0,5 amamitha

Kubuziwe : Isikhathi sokungahlali kahle (I) kwesistimu mayelana ne-axis noma i-axis yokujikeleza i-AB

Jawab :
Ifomula yesikhathi sokungabi namandla kwenhlayiya :

Mina = uMnu.2

Incazelo: I = umzuzu wokungabi namandla, m = isisindo sezinhlayiya, r = ibanga lezinhlayiya kusukela ku-axis yokujikeleza

Isikhathi sokungakhathali kwebhola P

IP = (mP)(rP2) = (0,6)(0,2)2 = (0,6)(0,04) = 0,024 kg m2

Isikhathi sokungakhathali kwebhola Q

IQ = (mQ)(rQ2) = (0,4)(0,5)2 = (0,4)(0,25) = 0,1 kg m2

Isikhathi sokungahlali kahle kwesistimu yezinhlayiya :

Mina = MinaP + MinaQ = 0,024 + 0,1 = 0,124 kg m2

Impendulo efanele ngu-C.

21. Amabhola amabili axhunywe yintambo (isisindo sentambo asinakwa) ahlelwe njengoba kuboniswe esithombeni. Ubukhulu besikhathi sabo sokungakhathali bungu…

FUNDA FUTHI  I-semiconductor

A. 20 x 10-3 kg.m2Ingxoxo ngomzuzu wokungahlali kahle 4

B. 25 x 10-3 kg.m2

C. 11 x 10-2 kg.m2

D. 55 x 10-2 kg.m2

E. 80 x 10-2 kg.m2

Ingxoxo

I-Diketahui :

Isisindo sebhola A (mA) = amagremu angu-200 = 0,2 kg

Isisindo sebhola B (mB) = amagremu angu-400 = 0,4 kg

Ibanga eliphakathi kwebhola A kanye ne-axis yokujikeleza (r)A= = 0

Ibanga eliphakathi kwebhola B kanye ne-axis yokujikeleza (r)B) = 25 cm = 0,25 amamitha

Kubuziwe : Isikhathi sokungahlali kahle (I) kwesistimu

Jawab :

Isikhathi sokungakhathali kwebhola A

IA = (mA)(rA2) = (0,2)(0)2 = 0

Isikhathi sokungakhathali kwebhola B

IB = (mB)(rB2) = (0,4)(0,25)2 = (0,4)(0,0625) = 0,025 kg m2

Isikhathi sokungahlali kahle kwesistimu yezinhlayiya :

Mina = MinaA + MinaB = 0 + 0,025 = 0,025 kg m2 = 25 x10-3 kg m2

Impendulo efanele ingu-B.

22. Izinhlayiya ezine zobuningi obuhlukene zitholakala endizeni efanayo, njengoba kuboniswe esithombeni. Isikhathi sokungapheleli kohlelo olune-axis evundlile u-p…

A. 17 mb2Ingxoxo yokuhlolwa kukazwelonke kweFiziksi yesikole samabanga aphezulu ka-2016 - 38

B. 22 mb2

C. 27 mb2

D. 31 mb2

E. 33 mb2

Ingxoxo

I-axis yokujikeleza = umugqa ovundlile p

Kuyaziwa ukuthi:

Isisindo sezinhlayiya u-A (mA) = m

Isisindo sezinhlayiya B (mB) = 2m

Isisindo sezinhlayiya C (mC) = 3m

Isisindo sezinhlayiya D (mD) = 4m

Ibanga lezinhlayiya u-A ukusuka ku-axis yokujikeleza (r)A) = b

Ibanga lezinhlayiya B kusukela ku-axis yokujikeleza (rB) = b

Ibanga lezinhlayiya C kusukela ku-axis yokujikeleza (rC) = 2b

Ibanga lezinhlayiya D kusukela ku-axis yokujikeleza (rD) = 2b

Kubuziwe: Isikhathi sokungabi namandla kwesistimu nge-axis evundlile p

Impendulo:

Mina = mA rA2 +mB rB2 +mC rC2 +mD rD2

I = (m)(b)2 + (2m)(b)2 + (3m)(2b)2 + (4m)(2b)2

I = mb2 + 2 mb2 + (3m)(4b2) + (4m)(4b2)

I = mb2 + 2 mb2 + 12 mb2 + 16 mb2

I = 31 mb2

Impendulo efanele ngu-D.

23. Jabulela ubumnandi!

Izinhlayiya ezine zixhunywe yinduku enobunzima obungenakulinganiswa. Isikhathi sokungapheleli kwesistimu ezungeze i-axis sidlula ku-m1 kanye no-m2 kuyinto…

A. 1/200 kg.m2Ingxoxo yokuhlolwa kukazwelonke kweFiziksi yesikole samabanga aphezulu ka-2016 - 39

B. 1/300 kg.m2

C. 1/400 kg.m2

D. 1/600 kg.m2

E. 1/800 kg.m2

Ingxoxo

Kuyaziwa ukuthi:

Isisindo sezinhlayiya 1 (m1) = 1/4 kg

Isisindo sezinhlayiya 2 (m2) = 1/2 kg

Isisindo sezinhlayiya 3 (m3) = 1/4 kg

Isisindo sezinhlayiya 4 (m4) = 1/4 kg

Ibanga lezinhlayiya 1 ukusuka ku-axis yokujikeleza (r1= = 0

Ibanga lezinhlayiya 2 ukusuka ku-axis yokujikeleza (r2= = 0

Ibanga lezinhlayiya 3 ukusuka ku-axis yokujikeleza (r3) = 10 cm = 10/100 amamitha = 1/10 amamitha

Ibanga lezinhlayiya 4 ukusuka ku-axis yokujikeleza (r4) = 10 cm = 10/100 amamitha = 1/10 amamitha

Kubuziwe: Isikhathi sokungahlali kahle kwesistimu

Impendulo:

Mina = m1 r12 +m2 r22 +m3 r32 +m4 r42

I = (1/4)(0)2 + (1/2)(0)2 + (1/4)(1/10)2 + (1/4)(1/10)2

I = 0 + 0 + (1/4)(1/100) + (1/4)(1/100)

I = 1/400 + 1/400

I = 2/400

I = 1/200 kg.m2

Impendulo efanele ngu-A.

24. Amabhola amabili abhekwa njengezinhlayiya axhunywe ngentambo yocingo njengoba kuboniswe esithombeni. Uma ubuningi bamabhola u-P no-Q bungamagremu angu-600 namagremu angu-400 ngokulandelana, khona-ke isikhathi sokungapheleli kwesistimu yamabhola amabili azungeze i-axis AB…

A. 0,008 kg m2Ukunyakaza okujikelezayo - Ukuhlolwa Kukazwelonke kweFiziksi yezikole zamabanga aphezulu kanye nezikole zamabanga aphezulu zamaSulumane 2012 - 6
B. 0,076 kg m2
C. 0,124 kg m2
D. 0,170 kg m2
E. 0,760 kg m2

Ingxoxo
I-Diketahui :
I-axis yokujikeleza yi-AB.
mp = amagremu angu-600 = 0,6 kg, mq = amagremu angu-400 = 0,4 kg
rp = 20 cm = 0,2 m, rq = 50 cm = 0,5 m
Kubuziwe : Isikhathi sokungahlali kahle kwesistimu?
Jawab :
Mina = mp rp2 +mq rq2
I = (0,6 kg)(0,2 m)2 + (0,4 kg)(0,5 m)2
I = (0,6 kg)(0,04 m2) + (0,4 kg)(0,25 m2)
I = 0,024 kg m2 + 0,1 kg m2
I = 0,124 kg m2
Impendulo efanele ngu-C.

25. Izinto ezimbili eziqinile, isilinda kanye nembulunga, zisebusweni obuyisicaba. Zombili izinto zidonswa ngamandla afanayo, lapho indawo yokuxhumana iphakathi nendawo, futhi zinejubane elifanayo lokuqala. Yisiphi kulezi zinkulumo ezilandelayo esinembile?

(1) Uma i-radii yezinto zombili ifana futhi phansi kubushelelezi, khona-ke ijubane lazo zombili izinto lihlala lifana.

(2) Uma irediyasi yebhola inkulu futhi phansi kuqinile khona-ke ijubane lezinto ezimbili liyohlala lifana.

(3) Uma ama-radii engafani futhi phansi kushelela, khona-ke isivinini sokugcina sezinto ezimbili sizofana uma nje isivinini sokuqala sihlukile.

(4) Uma ama-radii engafani futhi phansi kushelela, ijubane lezinto ezimbili liyohlala lihlukile.

Ingxoxo

Isikhathi sokungahlali kahle kwesilinda esiqinile = 1/2 mR2

Isikhathi sokungahlali kahle kwebhola eliqinile = 2/5 mR2

Ake sithi ubuningi bezinto zombili buyafana futhi ama-radii ezinto zombili afana, khona-ke umzuzu we-inertia wesilinda mkhulu (1/2) kanti umzuzu we-inertia wesiyingi esiqinile mncane (2/5). Ngakho-ke, ijubane lesiyingi likhulu ngoba umzuzu walo we-inertia mncane.

Uma irediyasi yesiyingi inkulu, isikhathi sokungapheleli kwesiyingi siyanda futhi singalingana nesikhathi sokungapheleli kwesiyingi. Ngakho-ke, ijubane lesiyingi nesiyingi lingafana.

Isitatimende esifanele (2)

 

Umthombo wombuzo:

Imibuzo Yefiziksi Yezivivinyo Zikazwelonke Zesikole Samabanga Aphezulu/Isikole Samabanga Aphezulu Sokufundela Umsebenzi

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