Diketahui : F1 = 60 N F2 = 40 N , α = 60° F3 = 10 N, α= 30° F4 = 20 N. α = 40°
cos 40° = 0,76 = 0,8 sin 40° = 0,64 , 0,6
Ditanya : a) R = ? b) arah
Penyelesaian : *Proyeksi F1 = 60 N F2x = F2 cos α = 40 cos 60 = 20 N F2y = F2 sin α= 40 sin 60 = 36 N F3x = F3 cos α = 10 cos 30 = 9 N F3y = F3 sinα = 10 sin 30 = 5 N F4x = F4 cos α = 20 cos 40 = 16 N F4y = F4 sin α = 20 sin 40 = 12 N
*Cari Resultan Sumbu X Fx = +F1+F2x-F3x-F4x Fx= +60+20-9-16 Fx = 55 N ke kanan
*Cari Resultan Sumbu Y Fy = +F2y+F3y-F4y Fy = +36+5-12 Fy = 29 N ke atas
*Cari Resultan total a) R = √Fx² + Fy² R = √(55)² + (29)² R = √ 3025 + 841 R = √3866 = 62,1 N
*Cari arah resultan b) tan α = Fy/Fx tan α = 29/55 tan α = 0,52 α = 27,47° di kuadran I
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Diketahui :
F1 = 60 N
F2 = 40 N , α = 60°
F3 = 10 N, α= 30°
F4 = 20 N. α = 40°
cos 40° = 0,76 = 0,8
sin 40° = 0,64 , 0,6
Ditanya :
a) R = ?
b) arah
Penyelesaian :
*Proyeksi
F1 = 60 N
F2x = F2 cos α = 40 cos 60 = 20 N
F2y = F2 sin α= 40 sin 60 = 36 N
F3x = F3 cos α = 10 cos 30 = 9 N
F3y = F3 sinα = 10 sin 30 = 5 N
F4x = F4 cos α = 20 cos 40 = 16 N
F4y = F4 sin α = 20 sin 40 = 12 N
*Cari Resultan Sumbu X
Fx = +F1+F2x-F3x-F4x
Fx= +60+20-9-16
Fx = 55 N ke kanan
*Cari Resultan Sumbu Y
Fy = +F2y+F3y-F4y
Fy = +36+5-12
Fy = 29 N ke atas
*Cari Resultan total
a) R = √Fx² + Fy²
R = √(55)² + (29)²
R = √ 3025 + 841
R = √3866 = 62,1 N
*Cari arah resultan
b) tan α = Fy/Fx
tan α = 29/55
tan α = 0,52
α = 27,47° di kuadran I
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-vin
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