1. Shay leh daqiiqadda firfircoonida 2 kg m 2 ayaa ku wareegaysa 1 rad/s. Waa maxay xawaaraha xagasha ee shayga?
La yaqaan:
Daqiiqadda firfircoonida (I) = 2 kg m 2
Xawaaraha xagasha ( ω ) = 1 rad/s
La Raadinayo: Xawaaraha xagasha (L)
Xalka:
Qaacidada dhaqdhaqaaqa xagasha:
L = I ω
L = dhaqdhaqaaqa xagasha (kg m 2 / s), I = daqiiqadda firfircoonida (kg m 2 ), ω = xawaaraha xagasha (rad/s)
Xawaaraha xagasha:
L = I ω = (2)(1) = 2 kg m 2 / s
[irp]
2. Barkin dhululubo ah oo 2- kg ah oo leh gacan 0.1 m ayaa ku wareegaysa xawaare xagal joogto ah oo ah 2 rad/s. Waa maxay xawaaraha xagasha ee barkinta?
La yaqaan:
Cufka roogga (m) = 2 kg g
Gacanka roogga (r) = 0.1 m
Xawaaraha xagasha (ω) = 2 r xayeysiis/s
La Doonayo: Xawaaraha xagasha
Xalka:
Qaacidada daqiiqadda firfircoonida ee dhululubada adag:
I = 1/2 mr 2
I = daqiiqadda firfircoonida (kg m 2 ), m = cufnaanta (kg), r = gacanka (m)
Daqiiqadda firfircoonida:
I = 1/2 (2)(0.1) 2 = (1)(0.01) = 0.01 kg m 2
Xawaaraha xagasha:
L = I ω = ( 0.01 )( 2 ) = 0.02 kg m 2 / s
[irp]
3. Goobo isku mid ah oo 2-kg ah oo leh gacan 0.2 m ayaa ku wareegaysa 4 rad/s. Waa maxay xawaaraha xagasha ee kubbadda.
La yaqaan:
Cufka kubadda (m) = 2 kg
Gacanka kubbadda (r) = 0.2 m
Xawaaraha xagasha (ω) = 4 ra d/s
La Doonayo: Xawaaraha xagasha
Xalka:
Qaacidada daqiiqadda firfircoonida ee wareegga isku midka ah:
I = (2/5) mr 2
I = daqiiqad t ee inertia (kg m 2 ), m = cufnaanta (kg), r = radius (m)
Daqiiqadda firfircoonida ee wareegga isku midka ah:
I = (2/5)(2)(0.2) 2 = (4/5)(0.04) = 0.032 kg m 2
Dhaqdhaqaaqa xagasha ee kubbadda:
L = I ω = ( 0.032 )( 4 ) = 0.128 kg m 2 / s
[irp]
4. Walax 1-kg ah ayaa ku wareegta xawaare xagal joogto ah oo ah 2 rad/s. Waa maxay xawaaraha xagasha haddii gacanka goobadu yahay 10 cm.
La yaqaan:
Cufka walaxda (m) = 1 kg g
Gacanka goobada (r) = 10 cm = 10/100 = 0.1 m
Xawaaraha xagasha (ω) = 2 rad/ s
La Doonayo: Xawaaraha xagasha
Xalka:
Qaacidada daqiiqadda firfircoonida ee walxaha:
I = mr 2 = (1)(0.1) 2 = (1)(0.01) = 0.01 kg m 2
Dhaqdhaqaaqa xagasha:
L = I ω = (0.01)(2) = 0.02 kg m 2 / s
