Mienzaniso 25 yeMibvunzo yeNguva yeKusagadzikana
Nguva yeKusagadzikana kweChidimbu
1. Bhora rine huremu hwemagiramu zana rakabatanidzwa netambo yakareba masendimita makumi matatu sezvakaratidzwa mumufananidzo. Nguva yekusaita basa bhora rakatenderedza axis AB riri...
Kukurukurirana
Zvinozivikanwa kuti:
Chikamu chekutenderera chinonzi AB
Huremu hwebhora (m) = 100 magiramu = 100/1000 = 0,1 makirogiramu
Kureba kwebhora kubva pa axis yekutenderera (r) = 30 cm = 0,3 metres
Akabvunzwa: Nguva yekusaita basa kwebhora (I)
Mhinduro:
Ini = Va.2 = (0,1 kg)(0,3 m)2
I = (0,1 kg)(0,09 m2)
I = 0,009 kg m2
2. Huremu hwebhora m1 ine magiramu mazana maviri uye huremu hwebhora m2 ine huremu hwemagiramu mazana maviri. Mabhora maviri aya akabatanidzwa newaya yakareba masendimita makumi matanhatu ine huremu husingakoshi. Akisi yeAB iri pakati pewaya. Nguva yekusashanda kwemabhora maviri ari paAkisi yeAB ndeye…
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebhora 1 (m1) = magiramu zana = 100/1000 = 0,1 makirogiramu
Kureba kwebhora 1 kubva pa axis yekutenderera (r)1) = 30 cm = 30/100 = 0,3 mamita
Huremu hwebhora 2 (m2) = magiramu zana = 200/1000 = 0,2 makirogiramu
Kureba kwebhora 2 kubva pa axis yekutenderera (r)2) = 30 cm = 30/100 = 0,3 mamita
Akabvunzwa: Nguva yekusagadzikana kwehurongwa hwemabhora maviri
Mhinduro:
Ini = 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. Huremu hwebhora m1 ine magiramu mazana maviri uye huremu hwebhora m2 ine huremu hwemagiramu zana. Mabhora maviri aya akabatanidzwa newaya ine urefu hwemasendimita makumi matanhatu uye huremu hwayo hahuna kutariswa. Akisi yeAB iri pabhora m2Nguva yekusashanda zvakanaka kwehurongwa hwemabhora maviri akatenderedza AB axis ndeye…
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebhora 1 (m1) = magiramu zana = 200/1000 = 0,2 makirogiramu
Kureba kwebhora 1 kubva pa axis yekutenderera (r)1) = 60 cm = 60/100 = 0,6 mamita
Huremu hwebhora 2 (m2) = magiramu zana = 100/1000 = 0,1 makirogiramu
Kureba kwebhora 2 kubva pa axis yekutenderera (r)2) = 0 mamita
Akabvunzwa: Nguva yekusagadzikana kwehurongwa hwemabhora maviri
Mhinduro:
Ini = 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. Bhora rega rega rine huremu hwemagiramu zana uye rakabatanidzwa newaya ine huremu husingakoshi. Kureba kwewaya ndeye 60 cm uye upamhi ndeye 30 cm. Sarudza nguva yekusashanda kwehurongwa hwebhora pamusoro peAB axis…
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebhora 1 (m1) = m2 = m3 = m4 = magiramu zana = 100/1000 = 0,1 makirogiramu
Kureba kwebhora 1 kubva pa axis yekutenderera (r)1) = 30 cm = 30/100 = 0,3 mamita
Kureba kwebhora 2 kubva pa axis yekutenderera (r)2) = 30 cm = 30/100 = 0,3 mamita
Kureba kwebhora 3 kubva pa axis yekutenderera (r)3) = 30 cm = 30/100 = 0,3 mamita
Kureba kwebhora 4 kubva pa axis yekutenderera (r)4) = 30 cm = 30/100 = 0,3 mamita
Akabvunzwa: Nguva yekusagadzikana kwehurongwa hwebhora
Mhinduro:
Ini = 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. Tarisa mufananidzo uri pazasi. Zvidimbu zvina, chimwe nechimwe chine huremu hwemamita mana (chiri kure r kubva pakati), 3m (chiri kure r kubva pakati), 2m (chiri kure 2r kubva pakati), 2m (chiri kure r kubva pakati). Sisitimu iri mu xy plane. Kana sisitimu yakatenderedzwa ne x-axis, saka nguva yekusashanda kwesisitimu iri…
A. 5 m r
B. 7 m r
C. 5 m r2
D. 6 m r2
E. 7 m r2
Kukurukurirana:
Zvinozivikanwa :
Zvinozivikanwa kuti:
m1 = 4m (daro r kubva pakati), m2 = 3m (daro r kubva pakati), m3 = 2m (daro 2r kubva pakati), m4 = 2m (daro r kubva pakati)
Akabvunzwa :
Nguva yekusaita basa (I)?
Jawab :
Fomura yenguva yekusagadzikana kwechinhu chimwe :
Ini = Va.2
Sisitimu yacho inotenderedzwa ne x-axis kuitira kuti m2 uye m4 iri pa axis yekutenderera. Nekuti iri pa axis yekutenderera, r2 uye r4 inokosha zero.
I1 = m1 r12 = 4m2
I2 = m2 r22 = 3m (0)2 = 0
I3 = m3 r32 = 2m (2r)2 = 2m (4r)2) = 8m2
I4 = m4 r42 = 2m (0)2 = 0
Nguva yekusashanda zvakanaka kwehurongwa :
Ini = ini1 + Ini2 + Ini3 + Ini4
Ini = 4mr2 + 8m2
Ini = 12mr2
6. Rod AB ine huremu hwe3 kg kana ichitenderedzwa neB, nguva yayo yekusaita basa ndeye 27 kg m2Kana ikatenderedzwa kuburikidza neC, nguva yekusaita chinhu inova…
A. 70 kg m2
B. 76 kg m2
C. 92 kg m2
D. 98 kg m2
E. 108 kg m2
Kukurukurirana:
Zvinozivikanwa :
m = 3 kg
IB = 27 kg m2
Akabvunzwa :
IC ?
Jawab :
IB = Va.2
27 kg m2 = (3 kg)(r)2)
27 kg m2 / 3 kg = r2
9 M2 =r2
r = 3 m
Kureba AB = kureba AC = mamita matatu
Nguva yeInertia tsvimbo painotenderedzwa kuburikidza neC:
IC = Va.2
IC = (3 kg)(6 m)2
IC = (3 kg)(36 m2) = 108 kg m2
7.
Mabhora maviri, anoonekwa sezvidimbu, akabatanidzwa netambo yewaya sezvakaratidzwa mumufananidzo. Kana huwandu hwemabhora P naQ huri magiramu mazana matanhatu nemana zvichiteerana, saka nguva yekusashanda zvakanaka kwehurongwa hwemabhora maviri ari padivi peAB ndeye…
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
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora P (m)P) = magiramu mazana mashanu = 0,6 kg
Huremu hwebhora Q (m)Q) = magiramu mazana mashanu = 0,4 kg
Kureba kwebhora P kubva pa axis yekutenderera (r)P) = 20 cm = 0,2 mamita
Kureba kwebhora Q kubva pa axis yekutenderera (r)Q) = 50 cm = 0,5 mamita
Akabvunzwa : Nguva yekusaita basa (I) sisitimu ine chekuita ne axis kana axis yekutenderera AB
Jawab :
Fomura yenguva yekusagadzikana kwechinhu chimwe :
Ini = Va.2
Tsananguro: I = nguva yekusaita chinhu, m = huremu hwechinhu, r = daro rechinhu kubva pa axis yekutenderera
Nguva yekusaita basa kwebhora P
IP = (mP)(rP2) = (0,6)(0,2)2 = (0,6)(0,04) = 0,024 kg m2
Nguva yekusaita basa kwebhora Q
IQ = (mQ)(rQ2) = (0,4)(0,5)2 = (0,4)(0,25) = 0,1 kg m2
Nguva yekusashanda kwehurongwa hwezvimedu :
Ini = iniP + IniQ = 0,024 + 0,1 = 0,124 kg m2
Mhinduro chaiyo ndiC.
8.
Mabhora maviri akabatana newaya (huremu hwewaya hahuna kutariswa) akarongwa sezvakaratidzwa mumufananidzo. Hukuru hwenguva yavo yekusagadzikana ndi…
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
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora A (m)A) = magiramu mazana mashanu = 0,2 kg
Huremu hwebhora B (m)B) = magiramu mazana mashanu = 0,4 kg
Daro riri pakati pebhora A ne axis yekutenderera (r)A= = 0
Daro riri pakati pebhora B ne axis yekutenderera (r)B) = 25 cm = 0,25 mamita
Akabvunzwa : Nguva yekusagadzikana (I) kwehurongwa
Jawab :
Nguva yekusagadzikana kwebhora A
IA = (mA)(rA2) = (0,2)(0)2 = 0
Nguva yekusagadzikana kwebhora B
IB = (mB)(rB2) = (0,4)(0,25)2 = (0,4)(0,0625) = 0,025 kg m2
Nguva yekusashanda kwehurongwa hwezvimedu :
Ini = iniA + IniB = 0 + 0,025 = 0,025 kg m2 = 25 x gumi-3 kg m2
Mhinduro chaiyo ndeiyi B.
9.
Tarisa mufananidzo wemabhora maviri akabatana newaya. Kureba kwewaya = 12 m, l1 = 4 m uye huremu hwewaya husingatariswe, saka hukuru hwenguva yekusashanda kwehurongwa hwacho…
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
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora A (m)A) = 0,2 kg
Huremu hwebhora B (m)B) = 0,6 kg
Daro riri pakati pebhora A ne axis yekutenderera (r)A) = 4 mamita
Daro riri pakati pebhora B ne axis yekutenderera (r)B) = 12 – 4 = mamita masere
Akabvunzwa : Nguva yekusagadzikana (I) kwehurongwa
Jawab :
Nguva yekusagadzikana kwebhora A
IA = (mA)(rA2) = (0,2)(4)2 = (0,2)(16) = 3,2 kg m2
Nguva yekusagadzikana kwebhora B
IB = (mB)(rB2) = (0,6)(8)2 = (0,6)(64) = 38,4 kg m2
Nguva yekusashanda kwehurongwa hwezvimedu :
Ini = iniA + IniB = 3,2 + 38,4 = 41,6 kg m2
Mhinduro chaiyo ndeiyi B.
Nguva Yekusagadzikana Kwemuviri Wakasimba
10. Tsvimbo yakasimba ine huremu hwe2 kg uye hurefu hwemamita maviri. Sarudza nguva yekusashanda kwetsvimbo kana axis yekutenderera iri pakati petsvimbo!
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwetsvimbo yakasimba (M) = 2 kg
Kureba kwehunde yakasimba (L) = mamita maviri
Akabvunzwa: Nguva yekusaita basa
Mhinduro:
Fomura yenguva yekusagadzikana kwetsvimbo kana axis yekutenderera iri pakati petsvimbo:
Ini = (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. Tsvimbo yakasimba ine huremu hwe2 kg uye hurefu hwemamita maviri. Sarudza nguva yekusashanda kwetsvimbo kana axis yekutenderera iri pamucheto wetsvimbo!
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwetsvimbo yakasimba (M) = 2 kg
Kureba kwehunde yakasimba (L) = mamita maviri
Akabvunzwa: Nguva yekusaita basa
Mhinduro:
Fomura yenguva yekusagadzikana kwetsvimbo kana axis yekutenderera iri pamugumo wetsvimbo:
Ini = (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. Sarudza nguva yekusashanda kwediski yakasimba ine huremu hwe10 kg uye radius ye 0,1 metres, kana axis yekutenderera iri pakati pediski, sezvakaratidzwa mumufananidzo!
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwedhisiki yakasimba (M) = 10 kg
Radiyo yedhisiki yakasimba (L) = 0,1 metres
Akabvunzwa: Nguva yekusashanda zvakanaka kwedhisiki rakasimba
Mhinduro:
Fomura yenguva yekusagadzikana kwetsvimbo kana axis yekutenderera iri pakati pediski:
Ini = (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. Sarudza nguva yekusashanda kwebhora rakasimba rine huremu hwe20 kg uye radius ye 0,1 metres, kana axis of rotation iri pakati pebhora, sezvakaratidzwa mumufananidzo!
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebhora rakasimba (M) = 20 kg
Radiyo yebhora rakasimba (L) = 0,1 metres
Akabvunzwa: Nguva yekusaita basa
Mhinduro:
Fomura yenguva yekusagadzikana kwetsvimbo kana axis yekutenderera iri pakati pebhora rakasimba:
Ini = (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. Sarudza nguva yekusashanda kwebhora rakatetepa, risina chinhu rine huremu hwe 0,5 kg uye radius ye 0,1 metres, kana axis of rotation iri pakati pebhora, sezvakaratidzwa mumufananidzo!
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwebhora rakatetepa (M) = 0,5 kg
Nharaunda yebhora rakatetepa (L) = 0,1 metres
Akabvunzwa: Nguva yekusaita basa
Mhinduro:
Fomura yenguva yekusagadzikana kwetsvimbo kana axis yekutenderera iri pakati pebhora rakatetepa:
Ini = (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
15. Bhokisi rakasimba re rectangular rine huremu hwe2 kg, kureba kwemamita 0,5 uye upamhi hwemamita 0,2. Sarudza nguva yekusashanda kwebhokisi rakasimba kana axis yekutenderera iri pakati pebhokisi, sezvakaratidzwa mumufananidzo!
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hweplate yakasimba ine rectangular (M) = 2 kg
Kureba kweplate (a) = 0,5 metres
Upamhi hweplate (b) = 0,2 metres
Akabvunzwa: Nguva yekusaita basa
Mhinduro:
Fomura yenguva yekusagadzikana kweplate yakasimba ye rectangular kana axis yekutenderera iri pakati peplate yakasimba:
Ini = (1/12) M (a2 + b2)
Ini = (1/12)(2)(0,52 + 0,22)
Ini = (2/12)(0,25 + 0,04)
Ini = (1/6)(0,29)
I = 0,29/6 kg m2
16. Zvinotevera ndizvo zvinoreva zvinhu zvinoita kuti munhu afambe achitenderera.
(1) Kumhanya kwekona
(2) Nzvimbo ye axis yekutenderera
(3) Chimiro chechinhu chacho
(4) Huremu hwechinhu
Zvinhu zvinopesvedzera hukuru hwenguva yekusaita chinhu ndeizvi...
A. (1), (2), (3) uye (4)
B. (1), (2) uye (3)
C. (1), (3) uye (4)
D. (2), (3) uye (4)
E. (2) uye (4) chete
Kukurukurirana
Fomura yenguva yekusaita basa:
Ini = Σm r2
Tsananguro: m = huremu hwechinhu, r = chinhambwe kubva pa axis yekutenderera.
Zvichibva pafomura iyi, zvakagumiswa kuti nguva yekusaita chinhu inokonzerwa nenzvimbo ye axis yekutenderera (2) uye huremu hwechinhu (4).
Mhinduro chaiyo ndiE.
17. Mabhora maviri, anoonekwa sezvidimbu, akabatanidzwa netambo yewaya sezvakaratidzwa mumufananidzo. Kana huwandu hwemabhora P naQ huri magiramu mazana matanhatu nemana zvichiteerana, saka nguva yekusashanda zvakanaka kwehurongwa hwemabhora maviri ari padivi peAB ndeye…
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
Kukurukurirana
Zvinozivikanwa :
Chikamu chekutenderera chinonzi AB.
mp = magiramu mazana matanhatu = 0,6 kg, mq = magiramu mazana mana = 0,4 kg
rp = 20 cm = 0,2 m, rq = 50 masendimita = 0,5 m
Akabvunzwa : Nguva yekusashanda zvakanaka kwehurongwa?
Jawab :
Ini = 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
Mhinduro chaiyo ndiC.
18. Nguva yekusagadzikana kwechinhu chinotenderera panzvimbo yakatarwa inokanganiswa ne...
A. huremu hwechinhu chacho
B. vhoriyamu yechinhu chacho
C. kuwanda kwechinhu chacho
D. kukurumidza kwekona kwekutenderera
E. kumhanya kwekutanga kwekona
Kukurukurirana
Fomura yenguva yekusaita basa:
Ini = ∑mr2
Tsananguro: I = nguva yekusaita chinhu, m = uremu, r = daro kubva pa axis yekutenderera
Mhinduro chaiyo ndiA.
19. Rod AB ine huremu hwe2 kg inotenderedzwa nepakati peA uye nguva yayo yekusaita basa ndeye 8 kg m2Kana ikatenderedzwa nepakati peO (AO = OB), nguva yekusaita chinhu inova...
A. 2 kg m2
B. 4 kg m2
C. 8 kg m2
D. 12 kg m2
E. 16 kg m2
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwetsvimbo AB (m) = 2 kg
Kana ikatenderedzwa nepakati peA kuitira kuti radius yekutenderera (r) = daro AB = r saka nguva yekusaita basa (I) = 8 kg m2
Akabvunzwa: Kana ikatenderedzwa nepakati peO kuitira kuti radius yekutenderera (r) = daro AO = daro OB = 1/2 r ipapo nguva yekusashanda inova (I) = ……
Mhinduro:
Ini = Va.2
8 kg m2 = (2 kg) r2
8 M2 = (2) r2
r2 = 8 XNUMX m2 / 2
r2 = 4 XNUMX m2
r = mita imwe
Kana ikatenderedzwa nepakati peO zvekuti 1/2 r = 1 mita, ipapo nguva yekusagadzikana inova:
Ini = Va.2 = (2 kg)(1 m)2 = (2 kg)(1 m2) = 2 kg m2
Mhinduro chaiyo ndiA.
20. Mabhora maviri, anoonekwa sezvidimbu, akabatanidzwa netambo yewaya sezvakaratidzwa mumufananidzo. Kana huwandu hwemabhora P naQ huri magiramu mazana matanhatu nemana zvichiteerana, saka nguva yekusashanda zvakanaka kwehurongwa hwemabhora maviri ari padivi peAB ndeye…
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
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora P (m)P) = magiramu mazana mashanu = 0,6 kg
Huremu hwebhora Q (m)Q) = magiramu mazana mashanu = 0,4 kg
Kureba kwebhora P kubva pa axis yekutenderera (r)P) = 20 cm = 0,2 mamita
Kureba kwebhora Q kubva pa axis yekutenderera (r)Q) = 50 cm = 0,5 mamita
Akabvunzwa : Nguva yekusagadzikana (I) kwehurongwa pamusoro pe axis kana axis yekutenderera AB
Jawab :
Fomura yenguva yekusagadzikana kwechinhu chimwe :
Ini = Va.2
Tsananguro: I = nguva yekusaita chinhu, m = huremu hwechinhu, r = daro rechinhu kubva pa axis yekutenderera
Nguva yekusaita basa kwebhora P
IP = (mP)(rP2) = (0,6)(0,2)2 = (0,6)(0,04) = 0,024 kg m2
Nguva yekusaita basa kwebhora Q
IQ = (mQ)(rQ2) = (0,4)(0,5)2 = (0,4)(0,25) = 0,1 kg m2
Nguva yekusashanda kwehurongwa hwezvimedu :
Ini = iniP + IniQ = 0,024 + 0,1 = 0,124 kg m2
Mhinduro chaiyo ndiC.
21. Mabhora maviri akabatana newaya (huremu hwewaya hahuna kutariswa) akarongwa sezvakaratidzwa mumufananidzo. Hukuru hwenguva yavo yekusagadzikana ndi…
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
Kukurukurirana
Zvinozivikanwa :
Huremu hwebhora A (m)A) = magiramu mazana mashanu = 0,2 kg
Huremu hwebhora B (m)B) = magiramu mazana mashanu = 0,4 kg
Daro riri pakati pebhora A ne axis yekutenderera (r)A= = 0
Daro riri pakati pebhora B ne axis yekutenderera (r)B) = 25 cm = 0,25 mamita
Akabvunzwa : Nguva yekusagadzikana (I) kwehurongwa
Jawab :
Nguva yekusagadzikana kwebhora A
IA = (mA)(rA2) = (0,2)(0)2 = 0
Nguva yekusagadzikana kwebhora B
IB = (mB)(rB2) = (0,4)(0,25)2 = (0,4)(0,0625) = 0,025 kg m2
Nguva yekusashanda kwehurongwa hwezvimedu :
Ini = iniA + IniB = 0 + 0,025 = 0,025 kg m2 = 25 x gumi-3 kg m2
Mhinduro chaiyo ndeiyi B.
22. Zvidimbu zvina zvemasumbu akasiyana zviri panzvimbo imwe chete, sezvakaratidzwa mumufananidzo. Nguva yekusashanda kwehurongwa ne axis yakatambanudzwa p ndiyo…
A. 17 mb2
B. 22 mb2
C. 27 mb2
D. 31 mb2
E. 33 mb2
Kukurukurirana
Akisi yekutenderera = mutsetse wakatwasuka p
Zvinozivikanwa kuti:
Huremu hwechinhu A (m)A) = m
Huremu hwechikamu B (m)B) = 2m
Huremu hwechikamu C (m)C) = 3m
Huremu hwechinhu chimwe chete D (m)D) = 4m
Kureba kwechikamu A kubva pachikamu chekutenderera (r)A) = b
Kureba kwechikamu B kubva pachikamu chekutenderera (r)B) = b
Kureba kwechikamu C kubva pachikamu chekutenderera (r)C) = 2b
Kureba kwechikamu cheD kubva pachikamu chekutenderera (r)D) = 2b
Akabvunzwa: Nguva yekusashanda kwehurongwa ne axis yakatambanudzwa p
Mhinduro:
Ini = mA rA2 +mB rB2 +mC rC2 +mD rD2
Ini = (m)(b)2 + (2m)(b)2 + (3m)(2b)2 + (4m)(2b)2
Ini = mb2 + 2 mb2 + (3m)(4b2) + (4m)(4b2)
Ini = mb2 + 2 mb2 + 12 mb2 + 16 mb2
Ini = 31 mb2
Mhinduro chaiyo ndiD.
23. Perhatikan gambar berikut!
Zvidimbu zvina zvakabatana netsvimbo ine huremu husingakoshi. Nguva yekusashanda kwehurongwa hwese iri pamusoro pe axis iri kuburikidza ne m1 uye m2 iri…
A. 1/200 kg.m2
B. 1/300 kg.m2
C. 1/400 kg.m2
D. 1/600 kg.m2
E. 1/800 kg.m2
Kukurukurirana
Zvinozivikanwa kuti:
Huremu hwechinhu 1 (m1) = 1/4 kg
Huremu hwechinhu 2 (m2) = 1/2 kg
Huremu hwechinhu 3 (m3) = 1/4 kg
Huremu hwechinhu 4 (m4) = 1/4 kg
Kureba kwechikamu 1 kubva pachikamu chekutenderera (r)1= = 0
Kureba kwechikamu 2 kubva pachikamu chekutenderera (r)2= = 0
Kureba kwechikamu 3 kubva pachikamu chekutenderera (r)3) = 10 cm = 10/100 mamita = 1/10 mamita
Kureba kwechikamu 4 kubva pachikamu chekutenderera (r)4) = 10 cm = 10/100 mamita = 1/10 mamita
Akabvunzwa: Nguva yekusashanda zvakanaka kwehurongwa
Mhinduro:
Ini = m1 r12 +m2 r22 +m3 r32 +m4 r42
Ini = (1/4)(0)2 + (1/2)(0)2 + (1/4)(1/10)2 + (1/4)(1/10)2
Ini = 0 + 0 + (1/4)(1/100) + (1/4)(1/100)
Ini = 1/400 + 1/400
Ini = 2/400
I = 1/200 kg.m2
Mhinduro chaiyo ndiA.
24. Mabhora maviri anoonekwa sezvikamu akabatanidzwa netambo yewaya sezvakaratidzwa mumufananidzo. Kana huwandu hwemabhora P naQ huri magiramu mazana matanhatu nemazana mana zvichiteerana, saka nguva yekusashanda zvakanaka kwehurongwa hwemabhora maviri ari padivi peAB ndeye…
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
Kukurukurirana
Zvinozivikanwa :
Chikamu chekutenderera chinonzi AB.
mp = magiramu mazana matanhatu = 0,6 kg, mq = magiramu mazana mana = 0,4 kg
rp = 20 cm = 0,2 m, rq = 50 masendimita = 0,5 m
Akabvunzwa : Nguva yekusashanda zvakanaka kwehurongwa?
Jawab :
Ini = 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
Mhinduro chaiyo ndiC.
25. Zvinhu zviviri zvakasimba, sirinda nebhora, zviri pamusoro penzvimbo yakati sandara. Zvinhu zvose zvinodhonzwa nesimba rimwe chete, nzvimbo yekubata iri pakati pazvo, uye zvine kumhanya kwakafanana kwekutanga. Ndechipi chezvirevo zvinotevera chakarurama?
(1) Kana radii yezvinhu zvese zviri zviviri yakafanana uye pasi rakatsetseka, saka kumhanya kwezvinhu zvese zviri zviviri kwakafanana nguva dzose.
(2) Kana nharaunda yebhora yakakura uye pasi pakaoma saka kumhanya kwezvinhu zviviri izvi kuchagara kwakafanana.
(3) Kana ma radii asina kufanana uye pasi pakatsvedza, ipapo kumhanya kwekupedzisira kwezvinhu zviviri kuchafanana chero bedzi kumhanya kwekutanga kwakasiyana.
(4) Kana ma radii asina kufanana uye pasi pakatsvedza, kumhanya kwezvinhu zviviri izvi kuchagara kwakasiyana.
Kukurukurirana
Nguva yekusashanda kwe silinda yakasimba = 1/2 mR2
Nguva yekusaita basa kwebhora rakasimba = 2/5 mR2
Ngatitii huwandu hwezvinhu zvese zviri zviviri hwakafanana uye radii yezvinhu zvese zviri zviviri yakafanana, ipapo nguva yekusashanda kwe cylinder yakakura (1/2) nepo nguva yekusashanda kwe solid sphere iri diki (2/5). Saka, kumhanya kwe sphere kwakakura nekuti nguva yayo yekusashanda kwekushanda idiki.
Kana radius yebhora iri yakakura, nguva yekusashanda kwebhora inowedzera uye inogona kuenzana nenguva yekusashanda kwebhora yesimbi. Nokudaro, kumhanya kwebhora nebhora kunogona kufanana.
Chirevo chakarurama (2)
Kwakabva mubvunzo:
Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa
