Mafunso atatu okhudza equation ya chingwe
1. Chithunzi chili pansipa chikuwonetsa mabuloko atatu, omwe ndi A, B ndi C omwe ali pamalo osalala opingasa. Ngati kulemera A = 1 kg, kulemera B = 2 kg ndi kulemera C = 2 kg ndi F = 10 N, ndiye kuti mudziwe chiŵerengero cha mphamvu mu chingwe pakati pa A ndi B ndi mphamvu mu chingwe pakati pa B ndi C.
Zodziwika:
Kulemera kwa A (mA) = 1 kg
Uzito B (m)B) = 2 kg
Kulemera kwa C (mC) = 2 kg
Mphamvu yokoka (F) = 10 N
SE basi: TAB :TBC
yankho;
Werengerani kuthamanga kwa dongosololi pogwiritsa ntchito njira ya Newton's Second Law:
ΣF = ma
F = (mA +mB +mC) ndi
10 = (1 + 2 + 2) a
10 = 5 a
a = 10 / 5
a = 2 m/s2
Gwiritsani ntchito njira yolumikizira chingwe kuti muwerengere TAB
ΣF = ma
TAB = mA a = 1 (2) = 2 Newton
Gwiritsani ntchito njira yolumikizira chingwe kuti muwerengere TBC
ΣF = ma
TBC = (mA +mB) a = (1 + 2) (2) = (3)(2) = 6 Newtons
2. Chinthu A chokhala ndi kulemera kwa makilogalamu 6 ndi chinthu B chokhala ndi kulemera kwa makilogalamu 3 zimalumikizidwa ndi chingwe monga momwe zasonyezedwera. Ngati coefficient of friction ndi 0.3 ndipo g = 10 m/s2, dziwani kuthamanga kwa chinthucho ndi mphamvu ya zingwe za chipika chilichonse.
Amadziwika:
Kulemera kwa chinthu A (mA) = 6 kg
Kulemera kwa chinthu B (mB) = 3 kg
Koyenera ya kukangana kwa block A (µ)k= = 0.3
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s2
Kulemera kwa chipika A (w)A) = mA g = (6)(10) = 60 N
Mphamvu yachibadwa pa block A (N)A= wA = 60 n
Kulemera kwa chipika B (w)B) = mB g = (3)(10) = 30 N
SE basi: Kuthamanga kwa dongosolo (a) ndi kukakamira kwa chingwe (T)
yankho;
Werengerani mphamvu ya kinetic frictional force mwachitsanzo mphamvu ya frictional pamene block A ikuyenda:
Fk = µk NA = (0,3)(60) = 18 Newtons
Werengerani kuthamanga kwa dongosolo (a):
ΣF = ma
wB – Fk = (mA +mB) ndi
30 – 18 = (6 + 3) a
12 = 9 a
a = 12 / 9 = 1,3 m/s2
Werengerani mphamvu ya chingwe pa bolodi A (T)A):
ΣF = ma
TA - Fk = (mA) ndi
TA – 18 = (6)(1,3)
TA - 18 = 7,8
TA = 7,8 + 18 = 25,8 Newtons
Werengerani mphamvu ya chingwe pa mtanda B (T)B):
ΣF = ma
wB - TB = mB (a)
30 – TB = 3 (1,3)
30 – TB = 3,9
TB = 30-3,9
TB = 26,1 Newton
3. Zinthu ziwiri A ndi B zokhala ndi kulemera kwa 5 kg ndi 3 kg zimalumikizidwa ndi pulley yopanda kukangana. Mphamvu P imagwiritsidwa ntchito ku pulley molunjika mmwamba. Ngati mabuloko onse awiri ali pansi poyamba, kodi kuthamanga kwa block A ndi kotani, ngati kukula kwa P ndi 60 N?
Dziwaninso mphamvu ya chingwe pa mabuloko A ndi B.
Amadziwika:
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s2
Kulemera kwa A (mA) = 5 kg
Kulemera kwa chipika A (w)A) = mA g = (5)(10) = 50 Newton
Uzito B (m)B) = 3 kg
Kulemera kwa chipika B (w)B) = mB g = (3)(10) = 30 Newton
Mphamvu P = 60 N
SE basi: Kufulumizitsa dongosolo la mipiringidzo A ndi B (a) ndi kupsinjika kwa chingwe pa mpiringidzo A (T)A) ndi kuwala kwa B (TB)
yankho;
Werengerani kuthamanga kwa dongosololi pogwiritsa ntchito njira ya Newton's Second Law.
ΣF = ma
wA - wB = (mA +mB) ndi
50 – 30 = (5 + 3) a
20 = 8 a
a = 20 / 8
a = 2,5 m/s2
Gwiritsani ntchito njira ya mphamvu yokakamiza kuti muwerengere mphamvu yokakamiza chingwe
Kupsinjika kwa chingwe pa block A:
ΣF = ma
wA - TA = mA a
50 – TA = 5 (2,5)
50 – TA = 12,5
TA = 50 – 12,5 = 37,5 Newtons
Kukakamira kwa chingwe pa bolodi B:
ΣF = ma
TB - wB = mB a
TB – 30 = 3 (2,5)
TB - 30 = 7,5
TB = 7,5 + 30 = 37,5 Newtons
