Misalai 3 na shirye-shiryen bazara masu layi daya
1. Maɓuɓɓugan ruwa guda biyar, kowannensu da ƙarfin da ke da ƙarfin N/m 100, an shirya su a layi ɗaya. Daidaitaccen maɓuɓɓugan ruwa na tsarin bazara shine…
Tattaunawa
An san cewa:
Daidaiton kowace bazara (k)1 = ku2 = ku3 = ku4 = ku5) = 100 N/m
An tambaya: madaidaitan maɓuɓɓugar ruwa mai sauyawa (k)
Amsa:
Madawwamin bazara maye gurbin :
ku = ku1 +k2 +k3 +k4 +k5
k = 100 + 100 + 100 + 100
k = 500 N/m
2. An shirya maɓuɓɓugai guda biyu a layi ɗaya kamar yadda aka nuna a ƙasa. Kowace maɓuɓɓuga tana da k mai ɗorewa1 = 100 N/m da k2 = 400 N/m. Ana dakatar da nauyin gram 500 daga bazara. Idan saurin gudu saboda nauyi shine 10 m/s2 to, ƙaruwar tsawon lokacin haɗuwar bazara shine...
Tattaunawa
An san cewa:
Madaidaitan bazara 1 (k)1) = 100 N/m
Madaidaitan bazara 2 (k)2) = 400 N/m
Nauyin kaya (m) = gram 500 = 0,5 kg
Saurin gudu saboda nauyi (g) = 10 m/s2
Ƙarfin nauyi (w) = mg = (0,5)(10) = 5 Newtons
Tambaya: ƙaruwar tsawon haɗuwar bazara (k)
Amsa:
Da farko a ƙididdige haɗin ma'aunin bazara ko kuma ma'aunin bazara da aka maye gurbinsa.
Madaidaitan maɓuɓɓuga mai maye gurbin :
ku = ku1 +k2
k = 100 + 400 = 500 N/m
Yi amfani da dabarar Dokar Hooke ƙirgawa pƙaruwa a tsawon lokacin haɗuwar bazara :
x = F / k = w / k
x = 5 / 500 = 1 / 100
x = mita 0,01
x = 1 cm
3. An shirya maɓuɓɓugan ruwa guda uku iri ɗaya kamar yadda aka nuna a ƙasa. An haɗa nauyin newton 21 a ƙarshen maɓuɓɓugan ruwa, wanda ke sa tsarin maɓuɓɓugan ruwa ya yi tsayi da santimita 10. Ma'aunin maɓuɓɓugan ruwa na kowane maɓuɓɓugan ruwa shine…
Tattaunawa
An san cewa:
Nauyin kayan (w) = Newtons 21
Ƙara tsawon tsarin bazara (x) = 10 cm = mita 0,1
An tambaya: daidaiton kowane bazara (k)1 = ku2 = ku3)
Amsa:
Madaidaitan maɓuɓɓuga mai maye gurbin :
k = F / x = w / x
k = 21 / 0,1 = 210 N/m
Daidaiton kowace bazara :
ku = ku1 +k2 +k3
210 = k + k + k
210 = 3k
k = 210 / 3
k = 70 N/m
Maɓuɓɓugan ruwa guda uku iri ɗaya ne, don haka suna da ma'aunin iri ɗaya. Ma'aunin kowane maɓuɓɓuga = k1 = ku2 = ku3 = 70 Newton/mita.
