Muenzaniso wemibvunzo yepakati pesimba regiravhiti

Mienzaniso gumi yeMibvunzo yeCenter of Gravity

1. Makoronike Nzvimbo yegiravhiti chinhu maererano nepfungwa 0 ndicho…
Kukurukurirana
Zvinozivikanwa :
Nzvimbo yechinhu (A) = (8)(4) = 32
Pakati pe x-axis (x) = ½ (8) = 4
Pakati pepakati pe y axis (y)= ½ (4) = 2
Akabvunzwa : Makorodheni epakati pegiravhiti yechinhu maererano nepfungwa 0
Jawab :
2. Nzvimbo nzvimbo inokwevera zvinhu pasi pechinhu kusvika panhamba 0 ndiko…
Kukurukurirana
Kutanga, verenga kukwirira kwechinhu chacho. Kamura chinhu chacho kuita matriangle maviri ane angle yekurudyi, uko triangle imwe neimwe ine angle yekurudyi ine hwaro hwe 4 cm uye hypotenuse ye 5 cm.
Zvinozivikanwa :
Nzvimbo yechinhu (A) = ½ (hwaro) (kukwirira) = ½ (8) (3) = (4) (3) = 12
Pakati pe x-axis (x) = ½ (8) = 4
Pakati pepakati pa y-axis (y) = 1/3 (3) = 1
Akabvunzwa : Makorodheni epakati pegiravhiti yechinhu maererano nepfungwa 0
Jawab :
Makorodheni epakati pegiravhiti yechinhu chacho ndeaya (4, 1) cm.

3. Tarisa mufananidzo uri pazasi! Sarudza (a) nzvimbo iri pakati pesimba regiravhiti rechinhu maererano nepfungwa P (b) nzvimbo iri pakati pesimba regiravhiti rechinhu maererano nepfungwa PQ yedivi.
Kukurukurirana
Zvinozivikanwa :
Govanisa chinhu chacho muzvikamu zviviri, chikamu 1 = rectangle, chikamu 2 = sikweya.
A₁ = (6)(2) = 12
A₂ = (2)(2) = 4
x₁ = ½ (6) = 3
x₂ = ½ (2) + 2 = 1 + 2 = 3
y₁ = ½ (2) = 1
y₂ = ½ (2) + 2 = 1 + 2 = 3
Akabvunzwa : Makoronesheni epakati pegiravhiti achienzaniswa nePQ yedivi
Jawab :
(a) Nzvimbo iri pakati pesimba rinokwevera zvinhu pasi (gravity) rechinhu ichi zvichienzaniswa nepfungwa P i (3; 1,5) cm.
(b) Nzvimbo yepakati pegiravhiti yechinhu ichi kana tichienzanisa nePQ yedivi i1,5 cm

4. 2015/2016 SMA/MA Fizikisi Mubvunzo weNyaya yeFizikisi Nhamba 10

Tarisa mufananidzo unotevera!

Nzvimbo dzinoenderana nepakati pegiravhiti yendege yakaita seH dzakaita se...

A. (3; 4)

B. (3,5; 2,5)

C. (3,5; 4)

D. (4; 3)

E. (4; 4)

Kukurukurirana

Govanisa chinhu chacho kuita zvikamu zvitatu.

Nzvimbo yechikamu 1 (A)₁) = (2)(6) = 12 cm²

Pakati pechikamu 1 pane x-axis (x₁) = 1/2 (2) = 1 cm

Pakati pechikamu 1 pane y-axis (y₁) = 1/2 (6) = 3 cm

Nzvimbo yechikamu 2 (A)₂) = (4)(2) = 8 cm²

Pakati pechikamu 2 pane x-axis (x₂) = 2 + (1/2)(4) = 2 + 2 = 4 cm

Pakati pechikamu 2 pane y-axis (y₂) = 2 + (1/2)(2) = 2 + 1 = 3 cm

Nzvimbo yechikamu 3 (A)₃) = (2)(6) = 12

Pakati pechikamu 3 pane x-axis (x₃) = 2 + 4 + (1/2)(2) = 2 + 4 + 1 = 7 cm

Pakati pechikamu 3 pane y-axis (y₃) = 1/2 (6) = 3 cm

Makorodheni epakati pegiravhiti yechinhu chiri pa x-axis:

Makorodheni epakati pegiravhiti yechinhu chiri pa y-axis:

Makorodheni epakati pegiravhiti yendege yakaita seH ndeaya (x, y) = (4, 3)

Mhinduro chaiyo ndiD.

5. 2014/2015 SMA/MA Fizikisi Mubvunzo weNyaya yeFizikisi Nhamba 6

Tarisa nzvimbo yakafanana nehukuru hwayo sezvakaratidzwa mumufananidzo!

Nzvimbo yepakati pegiravhiti yechimiro chiri pamusoro ichienderana ne x-axis ndiyo….

A. 2,0 cm

B. 2,5 cm

C. 3,0 cm

Kureba 3,5 cm

E. 4,0 cm

Kukurukurirana

Govanisa chinhu chacho kuita zvikamu zvina, zvinoti A, B, C naD.

Verenga nzvimbo yechikamu chimwe nechimwe.

A_A = ½ (hwaro) (kukwirira) = ½ (1,5) (3) = (1,5) (1,5) = 2,25

A_B = (kureba) (upamhi) = (4,5-1,5) (1) = (3) (1) = 3

A_C = ½ (hwaro) (kukwirira) = ½ (6-4,5) (3) = (1,5) (1,5) = 2,25

A_D = ½ (hwaro)(kukwirira) = ½ (4,5-1,5)(6-3) = ½ (3)(3) = (1,5)(3) = 4,5

y_A = 1/3 (3) = 1

y_B = 1/2 (1) = 0,5

y_C = 1/3 (3) = 1

y_D = 3 + (1/3)(6-3) = 3 + (1/3)(3) = 3 + 1 = 4

Makorodheni epakati pegiravhiti yechinhu chiri pa y-axis:

Nzvimbo yepakati pegiravhiti yechimiro ichi kana tichienzanisa ne x-axis i2 cm.

Mhinduro chaiyo ndiA.

6. 2014/2015 SMA/MA Mubvunzo weNyaya yeFizikisi Nhamba 6

Tarisa mufananidzo!

Makoronati epakati pegiravhiti emufananidzo wenzvimbo inotevera ndeaya….

Kukurukurirana

Govanisa chinhu chacho kuita zvikamu zvina, zvinoti A, B, C naD.

Verenga nzvimbo yechikamu chimwe nechimwe.

A_A = (kureba) (upamhi) = (4) (3) = 12

A_B = ½ (hwaro)(kukwirira) = ½ (6-4)(3) = ½ (2)(3) = (1)(3) = 3

A_C = ½ (hwaro)(kukwirira) = ½ (8-6)(3) = ½ (2)(3) = (1)(3) = 3

A_D = (kureba) (upamhi) = (8) (6-3) = (8) (3) = 24

y_A = 1/2 (3) = 1,5

y_B = 3 – (1/3)(3) = 3 – 1 = 2

y_C = 3 – (1/3)(3) = 3 – 1 = 2

y_D = 3 + (1/2)(6-3) = 3 + (1/2)(3) = 3 + 1,5 = 4,5

x_A = 1/2 (4) = 2

x_B = 4 + (1/2)(6-4) = 4 + (1/2)(2) = 4 + 1 = 5

x_C = 6 + (1/2)(8-6) = 6 + (1/2)(2) = 6 + 1 = 7

x_D = 1/2 (8) = 4

Makorodheni epakati pegiravhiti yechinhu chiri pa x-axis:

Makorodheni epakati pegiravhiti yechinhu chiri pa y-axis:

Mhinduro chaiyo ndeiyi B.

7. Makoronesheni epakati pegiravhiti yechinhu chakafanana mumufananidzo uri pazasi ndeaya...
A. (14, 15)
B. (17, 11)
C. (15, 11)
D. (15, 7)
E. (11, 7)

Kukurukurirana:
Kamura chinhu chacho kuita zvikamu zvitatu, chimwe nechimwe chiine nzvimbo (10-0)x(10-0), (20-10)x(30-0), (30-20)x(10-0)
Makorodheni epakati pegiravhiti yechinhu maererano ne x-axis:

x₁ = daro repakati penzvimbo 1 kubva panzvimbo 0, x₂ = daro repakati penzvimbo 2 kubva panzvimbo 0, x₃ = daro repakati penzvimbo 3 kubva panzvimbo 0.
Makorodheni epakati pegiravhiti yechinhu maererano ney-axis:

y₁ = daro repakati penzvimbo 1 kubva panzvimbo 0, y₂ = daro repakati penzvimbo 2 kubva panzvimbo 0, y₃ = daro repakati penzvimbo 3 kubva panzvimbo 0.

Makorodheni epakati pegiravhiti yechinhu ndeaya (15, 11)
Mhinduro chaiyo ndiC.

8. Makoronesheni epakati pegiravhiti yechinhu chiri mumufananidzo uri pazasi ndeaya...
A. (3 ; 2,7) m
B. (3 ; 3,6) m
C. (3 ; 4,0) m
D. (3 ; 4,5) m
E. (3 ; 5,0) m
Kukurukurirana:

Govanisa chinhu chacho kuita zvikamu zviviri, chimwe nechimwe chine nzvimbo ye (5-1)x (3-0), ½ (6-0)x (9-3)
Makorodheni epakati pegiravhiti yechinhu maererano ne x-axis:

Makorodheni epakati pegiravhiti yechinhu maererano ney-axis:

Makoronati epakati pegiravhiti yechinhu ndeaya (3; 3,6)
Mhinduro chaiyo ndeiyi B.

9. Makoronesheni epakati pegiravhiti yechinhu chakafanana kana tichienzanisa nepoindi O mumufananidzo unotevera ndeaya...

A. (4 3/5, 3 3/5)
B. (4 1/3, 3 1/3)
C. (4 1/3, 3)
D. (3 1/3, 4 1/3)
E. (3, 3 2/3)

Kukurukurirana
Govanisa chinhu chacho kuita zvikamu zvitatu, chikamu 1 = rectangle, chikamu 2 = sikweya, chikamu 3 = rectangle.

Nzvimbo yechikamu 1 (A)₁) = (2-0)(8-0) = (2)(8) = 16
Pakati pechikamu 1 pane x-axis (x₁= = 1
Pakati pechikamu 1 pane y-axis (y₁= = 4

Nzvimbo yechikamu 2 (A)₂) = (4-2)(2-0) = (2)(2) = 4
Pakati pechikamu 2 pane x-axis (x₂= = 3
Pakati pechikamu 2 pane y-axis (y₂= = 1

Nzvimbo yechikamu 3 (A)₃) = (6-4)(8-0) = (2)(8) = 16
Pakati pechikamu 3 pane x-axis (x₃= = 5
Pakati pechikamu 3 pane y-axis (y₃= = 4

Makorodheni epakati pegiravhiti yechinhu chiri pa x-axis:
Makorodheni epakati pegiravhiti yechinhu chiri pa y-axis:
Makoronesheni epakati pegiravhiti yechinhu maererano nepfungwa O ndeaya (x, y) = (3, 3 2/3)
Mhinduro chaiyo ndiE.

10. Makoronati epakati pegiravhiti yemufananidzo wendege ari pazasi ndeaya….

A. (1 1/2, 1 1/2) cm
B. (2.1/2) cm
C. (2, 1 1/2) cm
D. (2 1/2, 1 1/2) cm
E. (2 1/2, 2 1/2) cm

Kukurukurirana
Kamura chinhu chacho kuita zvikamu zvitatu, chikamu 1 = rectangle, chikamu 2 = rectangle, chikamu 3 = rectangle.

Nzvimbo yechikamu 1 (A)₁) = (1-0)(3-0) = (1)(3) = 3
Pakati pechikamu 1 pane x-axis (x₁= = 0,5
Pakati pechikamu 1 pane y-axis (y₁= = 1,5

Nzvimbo yechikamu 2 (A)₂) = (3-1)(2-1) = (2)(1) = 2
Pakati pechikamu 2 pane x-axis (x₂= = 2
Pakati pechikamu 2 pane y-axis (y₂= = 1,5

Nzvimbo yechikamu 3 (A)₃) = (4-3)(3-0) = (1)(3) = 3
Pakati pechikamu 3 pane x-axis (x₃= = 3,5
Pakati pechikamu 3 pane y-axis (y₃= = 1,5

Makorodheni epakati pegiravhiti yechinhu chiri pa x-axis:
Makorodheni epakati pegiravhiti yechinhu chiri pa y-axis:

Makoronesheni epakati pesimba regiravhiti rechinhu ndeaya (x, y) = (2, 1 1/2)
Mhinduro chaiyo ndiC.

Kwakabva mubvunzo:

Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa