Misalai 4 na shirye-shiryen bazara na jerin
1. An shirya maɓuɓɓuga biyar, kowannensu da ƙarfin da ke da ƙarfin N/m 200, a jere. Daidaitaccen maɓuɓɓugar bazara na tsarin bazara shine…
Tattaunawa
An san cewa:
Daidaiton kowace bazara (k)1 = ku2 = ku3 = ku4 = ku5) = 200 N/m
An tambaya: madaidaitan maɓuɓɓugar ruwa mai sauyawa (k)
Amsa:
Madaidaitan maɓuɓɓuga mai maye gurbin :
1/k = 1/k1 + 1/k2 + 1/k3 + 1/k4 + 1/k5
1/k = 1/200 + 1/200 + 1/200 + 1/200 + 1/200
1/k = 5/200
k = 200/5
k = 40 Newton/mita
2. An shirya maɓuɓɓugai guda biyu kamar yadda aka nuna a ƙasa. Kowace maɓuɓɓuga tana da k mai ɗorewa1 = 200 N/m da k2 = 300 N/m. Ana dakatar da nauyin kilogiram 2 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) = 200 N/m
Madaidaitan bazara 2 (k)2) = 300 N/m
Nauyin kaya (m) = 2 kg
Saurin gudu saboda nauyi (g) = 10 m/s2
Ƙarfin nauyi (w) = mg = (2)(10) = 20 Newtons
An tambaya: ƙara tsawon tsarin jerin bazara (x)
Amsa:
Madaidaitan maɓuɓɓuga mai maye gurbin :
1/k = 1/k1 + 1/k2
1/k = 1/200 + 1/300 = 3/600 + 2/600 = 5/600
k = 600/5
k = 120 Newton/mita
Ƙara tsawon lokacin haɗuwar bazara :
x = F / k = w / k
x = 20/120
x = mita 1/6
Ƙara tsawon lokacin da aka tsara lokacin bazara shine ƙaruwar jimillar tsawon maɓuɓɓugan ruwa guda uku.
3. An shirya maɓuɓɓugan ruwa guda uku iri ɗaya kamar yadda aka nuna a ƙasa. An haɗa nauyin newton 15 a ƙarshen maɓuɓɓugan ruwa, wanda ke sa tsarin maɓuɓɓugan ruwa ya yi tsayi da santimita 5. Ma'aunin maɓuɓɓugan ruwa na kowane maɓuɓɓugan ruwa shine…
Tattaunawa
An san cewa:
Nauyin kayan (w) = Newtons 15
Ƙara tsawon lokacin haɗuwar bazara = 5 cm = mita 0,05
An tambaya: daidaiton kowane bazara
Amsa:
Hitung kmaye gurbin madaidaitan bazara ta amfani da dabarar Dokar Hooke :
k = F / x = w / x
k = 15 / 0,05
k = 300 Newton/mita
Daidaiton kowace bazara :
1/k = 1/k1 + 1/k2 + 1/k3
1/300 = 1/k + 1/k + 1/k
1/300 = 3/k
k = (3)(300)
k = 900
k = 900 N/m
Maɓuɓɓugan ruwa guda uku iri ɗaya ne don haka suna da ma'auni iri ɗaya. Ma'aunin ruwa 1 (k)1) = madaidaitan bazara 2 (k2) = madaidaitan bazara 3 (k3) = 900 Newton/mita
4. Maɓuɓɓugan ruwa guda uku kowannensu da madauri ɗaya k An shirya shi a jere. Haɗin ma'aunin bazara shine…
A. 1/5 k
B. 1/4 k
C. 1/3 k
D. 1/2 k
E. k
Tattaunawa:
Tsarin da ba ya canzawa a lokacin bazara don tsarin jeri :
1 / kp = 1/k + 1/k + 1/k
Haɗin ma'aunin bazara :
1 / kp = 3/k
kp = k/3 = 1/3 k
Amsar da ta dace ita ce C.
