Daqiiqad firfircooni ah

Daqiiqada Maaddada Inertia

Waxaa jira laba shay, mid ka mid ah uu leeyahay cuf yar kan kalena uu leeyahay cuf weyn. Shaygee ayaa si fudud loo dhaqaajin karaa haddii lagu riixo xoog isku mid ah? Xaqiiqdu waxay muujinaysaa in walxaha leh cuf yar ay ka fudud yihiin in la dhaqaajiyo marka loo eego walxaha leh cuf weyn. Markaa cabbirka cufnaanta shayga ayaa go'aaminaya cabbirka dardargelinta shayga haddii xoog la isticmaalo. Haddii dhaqdhaqaaq toos ah, cufnaanta shayga ay go'aamiso in shaygu uu fudud yahay ama uu adag yahay in la dhaqaajiyo (dardargeliyo) markaa dhaqdhaqaaqa wareegga, daqiiqadda firfircoonida shayga ayaa go'aaminaysa in shaygu uu fudud yahay ama uu adag yahay in la dhaqaajiyo.

Qayb ka mid ah Partikel
Ka fiirso walax wareegaysa. Walax leh cuf m waxaa la siiyaa xoog F si walaxdu ugu wareegto dhidibka wareegga O. Walaxdu waa masaafad r u jirta dhidibka wareegga. Marka hore walaxdu waxay ku nasanaysaa (v = 0). Ka dib marka ay dhaqaajiso xoogga F, walaxdu waxay ku wareegtaa xawaare gaar ah si walaxdu u yeelato dardar-gelin tangential ah (tan).
Xiriirka ka dhexeeya xoogga (F), cufka (m), iyo dardargelinta tangential (tan) ee walax waxaa lagu muujiyaa isle'egta:
Walxaha ayaa wareegaya si walaxdu u yeelato dardargelin xagal ah. Xiriirka ka dhexeeya dardargelinta tangential iyo dardargelinta xagal waxaa lagu muujiyaa isle'egta:
Ku beddel ama ku beddel dardargelinta tangential-ka (tan) ee isle'egta 3 adoo adeegsanaya dardargelinta tangential-ka (tan) ee isle'egta 4.
Dhinacyada bidix iyo midig ku dhufo r:
r F waa daqiiqadda xoogga iyo mudane² waa daqiiqadda firfircoonida ee walxaha I). ​​Isla'egta 5aad waxay sheegaysaa xiriirka ka dhexeeya daqiiqadda xoogga, daqiiqadda firfircoonida iyo dardargelinta xagasha ee walxaha wareegaya. Isla'egta 5aad waa isla'egta sharciga labaad ee Newton ee walxaha wareegaya.
I waa natiijada cufka walaxda (m) iyo labajibbaaranaha masaafada walaxda laga bilaabo dhidibka wareegga (r).²).
Macluumaadka:
I = daqiiqadda firfircoonida walxaha, m = cufka walxaha, r = masaafada u dhaxaysa walxaha iyo dhidibka wareegga
Isle'egta 6aad waxaa loo isticmaalaa in lagu go'aamiyo daqiiqadda firfircoonida ee walaxda wareegaysa.
Si aad si fiican u fahamto dib u eegista ku saabsan daqiiqadda firfircoonida walxaha, fadlan Baro tusaalooyinka daqiiqadaha walxaha ee dhibaatooyinka inertia.

Jir adag oo isku mid ah
Jidh adag wuxuu ka kooban yahay walxo badan oo ku faafay jidhka oo dhan. Daqiiqada jidhka adag waa wadarta dhammaan daqiiqadaha walax kasta oo ka kooban jidhka adag.
Si loo go'aamiyo I ee shay adag, shayga waxaa la arkaa inta uu wareegayo sababtoo ah goobta dhidibka wareegga ayaa saameeya qiimaha daqiiqadda. Marka laga soo tago iyadoo ku xiran goobta dhidibka wareegga, I ee walaxda sidoo kale waxay ku xiran tahay cufka walaxda (m) iyo labajibbaaranka masaafada walaxda laga bilaabo dhidibka wareegga (r).²) Cufnaanta dhammaan walxaha sameeya shay waa isku mid sida cufka shayga laftiisa. Dhibaatadu waxay tahay, masaafada walax kasta u jirta dhidibka wareegga way kala duwan tahay.
Ka fiirso soo saarista qaacidada giraanta khafiifka ah ee R iyo cufka M. Haddii dhidibka wareegga uu ku yaal bartamaha giraanta, markaa dhammaan walxaha sameeya giraanta waxay ku jiraan masaafad r ah oo u jirta dhidibka wareegga. I ee giraanta khafiifka ah waxay la mid tahay wadarta daqiiqadaha dhammaan walxaha sameeya giraanta.
Walax kasta oo sameeya giraanta khafiifka ah waxay ku taal meel fog r ka fog dhidibka wareegga si r uu r u noqdo mid aan la arki karin₁ =r₂ =r₃ = r = R.
Qaaciddada giraanta khafiifka ah:
Aniga = MR²
Macluumaadka:
I = daqiiqadda firfircoonida giraanta khafiifka ah, M = cufka giraanta khafiifka ah, R = gacanka giraanta khafiifka ah
Ka warran haddii dhidibka wareeggu uusan ku oolin bartamaha giraanta? Haddii dhidibka wareeggu uusan ku oolin bartamaha giraanta, qaacidada giraanta khafiifka ah laguma soo saari karo habka kor ku xusan sababtoo ah masaafada walax kasta u jirta dhidibka wareegga way kala duwan tahay.

Qaaciddada jirka adag ee isku midka ah
Kuwa soo socda waa qaacidooyinka dhowr qaybood oo isku mid ah oo adag.

Tusaalaha dhibaatooyinka

1. Su'aalaha Imtixaanka Qaranka ee SMA/MA 2017

Fiiro gaar ah u yeelo jadwalka soo socda!

Shayada P, Q, iyo R waxaa ku xiran ul aan tiro lahayn. Cabbirka daqiiqadda inertia ee nidaamka ku saabsan dhidib u toosan diyaaradda iyada oo loo marayo dhidibka shayga P waa…

Dood

Waa la ogyahay:

La weydiiyay: Daqiiqadda firfircoonida nidaamka

Jawaab:

Daqiiqadda firfircoonida shayga S:

I _Q = mr ² = (0,5)(10 ² ) = (0,5)(100) = 50 kg m ²

Daqiiqadda firfircoonida shayga R:

I _R = mr ² = (3)(6 ² ) = (3)(36) = 108 kg m ²

Daqiiqadda firfircoonida shayga P:

Dhidibka wareegga wuxuu dhex maraa dhidibka shayga P si r = 0.

Daqiiqada firfircoonida nidaamka:

I = 50 kg m ² + 108 kg m ²

I = 158 kg m ²