Tusaale ahaan su'aalaha diyaaradda ee loo yaqaan 'plane plane' ee dugsiga sare ee hoose

4 Tusaalooyin ah su'aalaha diyaaradda ee SMP-ka ah

1. Fiiri sawirka soo socda!

Gaari xamuul ah oo culeyskiisu yahay 10 N ayaa laga soo jiidayaa salka diyaarad janjeerta ilaa uu gaaro meesha ugu sarreysa diyaaradda janjeerta. Cabbirka xoogga F ee loo baahan yahay waa…

A. 15,0 N

B. 12,5 N

C. 5,0 N

D. 2,5 N

Dood

Waa la ogyahay in:

Miisaanka gaariga xamuulka qaada (w) = 10 Newton

Dhererka diyaaradda u janjeerta = 2 mitir

Dhererka diyaaradda u janjeerta = 0,5 mitir

θ = xagal u dhexeeya diyaarad fidsan iyo diyaarad janjeerta

Sin θ = 0,5/2 = 0,25

Su'aal: Baaxadda xoogga F

Jawaab:

w _x waa qaybta miisaanka gaadhiga ee barbar socda diyaaradda u janjeerta

w _y waa qaybta miisaanka gaadhiga ee ku toosan diyaaradda u janjeerta

Si gaariga xamuulka ah kor loogu jiido, xoogga jiidista F waa inuu ugu yaraan la mid noqdaa w _x.

w _x = w sin θ = (10 Newton)(0,25) = 2,5 Newton

Markaa xoogga jiidista F = 2,5 Newton

Jawaabta saxda ah waa D.

2.

Shay laga sameeyay baloog alwaax siman ayaa kor loogu qaadi doonaa meel siman sida sawirka ka muuqata. Haddii cufka baloogga uu yahay 6 kg, g = 10 m/s², markaa baaxadda xoogga riixaya ee kor loogu qaadayo xannibaadda laga bilaabo P ilaa Q waa…

A. 36 Newton
B. 24 Newton
C. 20 Newton
D. 12 Newton

Dood

Berat fallaadhaha: w = mg = (6)(10) = 60 kg m/s² = 60 Newton
Baloogyada siman iyo diyaaradaha toosan waa siman yihiin sidaa darteed waxaa loo arkaa inaysan lahayn wax isqabsi ah. is jiidjiidSi baloogga kor loogu dhaqaajiyo, xoogga riixitaanka ugu yar waa inuu la mid noqdaa qaybta miisaanka baloogga oo barbar socota diyaaradda janjeerta, taas oo ah w_x.
w_x = w sin teta = (w) (dhinaca hore/hypotenuse)
w_x = (60)(20/60) = (60)(1/3) = 20 Newtons
Jawaabta saxda ah waa C.

3.

Shaqaale ayaa doonaya inuu sanduuq ku raro gaari xamuul ah oo culeyskiisu yahay 500 Newtons isagoo adeegsanaya diyaarad u janjeerta sida ku cad sawirka hoose. Haddii gaariga xamuulka ah uu dhererkiisu yahay 1,5 m, intee in le'eg ayaa loo baahan yahay si loo dhaqaajiyo sanduuqa?

A. 125 N
B. 250 N
C. 500 N
D. 1500 N

Dood
Miisaanka sanduuqa (w) = 500 Newton
Si sanduuqa kor loogu dhaqaajiyo, xoogga riixitaanka ugu yar waa inuu la mid ahaadaa qaybta cufisjiidadka sanduuqa oo barbar socda diyaaradda janjeerta, taas oo ah w._x.
w_x = w sin teta = (w) (dhinaca hore/hypotenuse)
w_x = (500)(1,5/3) = (500)(1/2) = 250 Newtons
Jawaabta saxda ah waa B.

4.
Qalab culus ayaa la qaadi doonaa iyadoo la isticmaalayo loox sida diyaarad u janjeerta, sida ku cad sawirka soo socda. Si loo hubiyo in xoogga qaadista uu yahay kala bar miisaanka dhabta ah ee sanduuqa, loox dhererkiisu yahay...
A. 5,0 mitir
B. 7,5 mitir
C. 10,0 mitir
D. 12,5 mitir
Dood
Miisaanka sanduuqa = w
Si sanduuqa kor loogu dhaqaajiyo, xoogga riixitaanka ugu yar waa inuu la mid noqdaa qaybta cufisjiidadka sanduuqa oo barbar socda diyaaradda janjeerta, taas oo ah w_xSi baaxadda xoogga riixitaanka uu u noqdo 0,5 laab miisaanka sanduuqa, dhererka looxa waa…
w_x = w sint teta
w_x = (w)(dhinaca hore/hypotenuse)
0,5 (w)= (w)(2,5/x)
0,5 = (2,5/x)
x = 2,5/0,5 = 5 mitir
Jawaabta saxda ah waa A.

Isha su'aasha:

Su'aalaha Imtixaanka Qaranka ee Sayniska ee Dugsiga Sare ee Hoose/Dugsiga Sare ee Islaamiga ah