Chitsanzo cha Kuyenda Mozungulira

Zitsanzo ziwiri za Mafunso Okhudza Kuyenda kwa Ma Rolling Motion

1. Chinthu chozungulira chopanda kanthu (I = mR)²) ikugubuduzika popanda kutsetsereka mmwamba pa ndege yokhotakhota yokhala ndi liwiro loyambirira la 10 m/s. Ndege yokhotakhota ili ndi ngodya yokwezeka ya θ yokhala ndi tan θ = 0,75. Ngati kuthamanga chifukwa cha mphamvu yokoka g = 10 m/s^-2 ndipo liwiro la chinthucho limachepa kufika pa 5 ms^-1 kenako mtunda woyenda pa ndege yopendekeka ndi chinthucho ndi….
A. 12,5 m
B. 10 m
C. 7,5 m
D. 5 m
E. 2,5 m
Zokambirana
Amadziwika kuti:
Nthawi ya inertia ya silinda yopanda kanthu (I) = m R²
Ngodya ya kukwera kwa plane yopendekeka = θ , komwe tangent θ = 0,75 = 75/100 = kutsogolo / pansi
Tchimo θ = kutsogolo / oblique = 75/125 = 3/5 = 0,6
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²
Liwiro loyambirira (v)_o) = 10 m/s
Liwiro lomaliza (v)_t) = 5 m/s
Anafunsa kuti: Mtunda woyenda ndi chinthucho!
Yankho:
Werengerani kutalika komwe silinda imafikira pogwiritsa ntchito njira ya lamulo losunga mphamvu zamakanika:

Kutalika koyambirira (h)_o) = mamita 0
Liwiro loyambirira (v)_o) = 10 m/s
Liwiro lomaliza (v)_t) = 5 m/s
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Silinda imakwera mpaka mamita 7,5. Mtunda woyenda ndi silinda ndi:

Mtunda woyenda ndi silinda ndi mamita 12,5.
Yankho lolondola ndi A.

Kufotokozera kwa fomula:
o = koyambirira, t = komaliza, EM = mphamvu yamakina, EP = mphamvu yothekera, EK = mphamvu ya kinetic, m = kulemera, g = kuthamanga chifukwa cha mphamvu yokoka, h = kutalika, v = liwiro lolunjika, ω = liwiro la angular, I = mphindi ya inertia, R = radius ya silinda

2. Silinda yolimba (I = ½ mR)²) yokhala ndi kulemera kwa makilogalamu atatu ikugubuduzika popanda kutsetsereka mmwamba, yopingasa yomwe ili ndi ngodya yokwezeka ya θ yokhala ndi sin θ = 0,6. Ngati kuthamanga chifukwa cha mphamvu yokoka g = 10 m/s^-2 ndipo liwiro loyambirira la chinthucho ndi 10 m/s, ndiye kutalika kwa njira yokhotakhota yomwe chinthucho chimayenda chisanayime ndi....
A. mamita 9,5
B. mamita 10,5
C. 11,5 mamita
D. 12,5 mamita
E. mamita 13,5
Zokambirana
Amadziwika kuti:
Nthawi ya kulephera kwa silinda yolimba (I) = ½ m R²
Kulemera kwa silinda = 3 kg
Liwiro loyambirira (v)_o) = 10 m/s
Liwiro lomaliza (v)_t) = 0 m/s (kuima kwa chinthu)
Ngodya yokwezeka ya ndege (θ) = θ, pomwe sin θ = 0,6 = 6/10 = kutsogolo/kupendekera
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²
Anafunsa kuti: Kutalika kwa njira yomwe chinthu chinayenda chisanayime!
Yankho:
Werengerani kutalika komwe silinda imafikira pogwiritsa ntchito njira ya lamulo losunga mphamvu zamakanika:

Kutalika koyambirira (h)_o) = mamita 0
Liwiro loyambirira (v)_o) = 10 m/s
Liwiro lomaliza (v)_t) = 0 m/s (kuima kwa chinthu)
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s²

Silindayo imakwera mpaka mamita 7,5 kutalika.

Mtunda woyenda ndi silinda:

Mtunda woyenda ndi silinda ndi mamita 12,5.
Yankho lolondola ndi D.

Gwero la funso:

Mafunso a National Examination Physics a Senior High School/Vocational High School