4 Tusaalooyin oo ah qabanqaabada guga taxanaha ah
1. Shan gu', mid walbana leh awood joogto ah oo ah 200 N/m, ayaa si taxane ah loo diyaariyey. Joogtada guga ee u dhiganta ee habaynta gu'ga waa…
Dood
Waa la ogyahay in:
Joogtada ah ee gu' kasta (k)1 = k2 = k3 = k4 = k5) = 200 N/m
La weydiiyay: beddelka joogtada ah ee guga (k)
Jawaab:
Joogtada guga ee beddelka ah :
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/mitir
2. Laba ilo ayaa loo diyaariyey sida hoos ku cad. Gu' kasta wuxuu leeyahay k joogto ah1 = 200 N/m iyo k2 = 300 N/m. Cufnaan 2 kg ah ayaa laga laalaadaa guga. Haddii dardargelinta cufisjiidadka awgeed ay tahay 10 m/s2 markaa kordhinta dhererka isu imaatinka gu'ga waa...
Dood
Waa la ogyahay in:
Joogtada guga 1 (k)1) = 200 N/m
Joogtada guga 2 (k)2) = 300 N/m
Cufka culayska (m) = 2 kg
Dardargelinta cufisjiidadka awgeed (g) = 10 m/s2
Miisaanka culayska (w) = mg = (2)(10) = 20 Newtons
La weydiiyay: kordhinta dhererka Qabanqaabada taxanaha guga (x)
Jawaab:
Joogtada guga ee beddelka ah :
1/k = 1/k1 + 1/k2
1/k = 1/200 + 1/300 = 3/600 + 2/600 = 5/600
k = 600/5
k = 120 Newton/mitir
Kordhinta dhererka isu imaatinka guga :
x = F / k = w / k
x = 20/120
x = 1/6 mitir
Kordhinta dhererka habaynta gu'ga waa kordhinta dhererka guud ee saddexda gu'.
3. Saddex ilo oo isku mid ah ayaa loo habeeyay sida hoos ku cad. Miisaan 15 Newton ah ayaa laga laadlaadiyay dhammaadka hoose ee ilo-biyoodka, taasoo keentay in nidaamka guga uu dhererkiisu gaaro 5 cm. Joogtada guga ee gu' kasta waa…
Dood
Waa la ogyahay in:
Miisaanka culayska (w) = 15 Newtons
Kordhinta dhererka isu-imaatinka guga = 5 cm = 0,05 mitir
La weydiiyay: joogtada ah ee gu' kasta
Jawaab:
Hitung kbeddelka joogtada ah ee guga iyadoo la adeegsanayo qaacidada Sharciga Hooke :
k = F / x = w / x
k = 15 / 0,05
k = 300 Newton/mitir
Joogtada ah ee gu' kasta :
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
Saddexda gu' waa isku mid sidaas darteed waxay leeyihiin joogto isku mid ah. Joogtada guga 1 (k)1) = joogto ah guga 2 (k2) = joogto ah guga 3 (k3) = 900 Newton/mitir
4. Saddex ilo oo midkiiba leh joogto k Si taxane ah ayaa loo habeeyay. Joogtada guga ee isku dhafan waa…
A. 1/5 k
B. 1/4 k
C. 1/3 k
D. 1/2 k
E. k
Dood:
Qaacidada joogtada ah ee gu'ga ee diyaarinta taxanaha :
1 / kp = 1/k + 1/k + 1/k
Joogtada guga ee isku dhafan :
1 / kp = 3/k
kp = k/3 = 1/3 k
Jawaabta saxda ah waa C.
