Mavuto othetsedwa mu ma vector - dziwani zigawo za vekitala
1. Mphamvu ya ma Newton 20 imapanga ngodya ya ma Newton 30o ndi x-axis. Pezani zigawo zonse ziwiri za x ndi y za mphamvu.
Anakonza
Fx = F cos 30o = (20)(cos 30o) = (20)(0.5√3= = 10√3 Newton
Fy = F tchimo 30o = (20)(chimo 30o) = (20)(0.5) = 10 Newton
2. F1 = 20 Newtons amapanga ngodya ya 30o ndi mzere wa y ndi F2 = 30 Newtons amapanga ngodya ya 60o ndi mzere wa -x. Pezani zigawo zonse ziwiri za x ndi y za F1 ndi F2.
Anakonza
F1x =F1 cos 60o = (20)(cos 60o) = (20)(0.5) = -10 Newtons (negative chifukwa ili ndi njira yofanana ndi -x axis)
F2x =F2 cos 60o = (30)(cos 60o) = (30)(0.5) = -15 Newtons (negative chifukwa ili ndi njira yofanana ndi -x axis)
F1y =F1 tchimo 60o = (20)(chimo 60o) = (20)(0.5√3= = 10√3 Newton (yabwino chifukwa ili ndi mbali yofanana ndi y axis)
F2y =F2 tchimo 60o = (30)(chimo 60o) = (30)(0.5√3) = -15√3 Newton (yoipa chifukwa ili ndi njira yofanana ndi -y axis)
3. F1 = 2 N, F2 = 4 N, F3 = 6 N. Pezani zigawo zonse ziwiri za x ndi y za F1, F2 ndi F3!
Anakonza
F1x =F1 cos 60o = (2)(cos 60o) = (2)(0.5) = 1 Newton (yabwino chifukwa ili ndi mbali yomweyo ndi x axis)
F2x =F2 cos 30o = (4)(cos 30o) = (4)(0.5√3) = -2√3 Newton (yoipa chifukwa ili ndi njira yomweyo ndi mzere wa -x)
F3x =F3 cos 60o = (6)(cos 60o) = (6)(0.5) = 3 Newton (yabwino chifukwa ili ndi mbali yomweyo ndi x axis)
F1y =F1 tchimo 60o = (2)(chimo 60o) = (2)(0.5√3) = √3 Newton (yabwino chifukwa ili ndi mbali yofanana ndi y axis)
F2y =F2 tchimo 30o = (4)(chimo 30o) = (4)(0.5) = 2 Newtons (zabwino chifukwa zili ndi mbali yomweyo ndi y axis)
F3y =F3 tchimo 60o = (6)(chimo 60o) = (6)(0.5√3) = -3√3 Newton (yoipa chifukwa ili ndi njira yomweyo ndi -y axis)
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