25. A light triangular plate OAB is in a horizontal plane. Three forces, F1-5.0 N, F2= 8.0 N, and F3= 6.0 N act on the plate, which is pivoted about a vertical axis through point O. In the figure, F2 is perpendicular to OB. Consider the counterclockwise sense as positive. The sum of the torques about the vertical axis through point O, acting on the plate due to force's F1, F2, and F3, is: 0.60 m 45% 30° F₁ 1.00 m 0.80 m B F₁ = 5.0N F₂ = 8.0N F3 = 6-ON ₁=0-60m 2=0.80m T₁ = -r, F, Cos (30°) t₁ = -(0-60) (5) (05 (30²) = -2.60 Nm t₂ = √₂ F₂ Sin 900 T₂ = (0.80) (8) (1) = 6.4 Nm T3 = 3 F3 Sin (00) = 0NM

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Chapter1: Units, Trigonometry. And Vectors
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25. A light triangular plate OAB is in a horizontal plane. Three forces, F1=5.0 N, F2- 8.0 N,
and F3= 6.0 N act on the plate, which is pivoted about a vertical axis through point O. In the
figure, F2 is perpendicular to OB. Consider the counterclockwise sense as positive. The sum
of the torques about the vertical axis through point O, acting on the plate due to force's F1,
F2, and F3, is:
0.60 m
45% 0
30°
F₁
1.00 m
0.80 m
B
F₁ = 5.0N
F₂= 8.00
F3 = 6-ON
₁ = 0-60m
2=0.80m
T₁ = -r, F, (os (300)
t₁ = -(0.60) (5) (05 (300) = -2.60 Nm
t₂ = √₂ F₂ Sin 900
t₂ = (0.80) (8) (1) = 6.4 Nm
T3 = F₂ F3 Sin (00) = 0Nm
Transcribed Image Text:25. A light triangular plate OAB is in a horizontal plane. Three forces, F1=5.0 N, F2- 8.0 N, and F3= 6.0 N act on the plate, which is pivoted about a vertical axis through point O. In the figure, F2 is perpendicular to OB. Consider the counterclockwise sense as positive. The sum of the torques about the vertical axis through point O, acting on the plate due to force's F1, F2, and F3, is: 0.60 m 45% 0 30° F₁ 1.00 m 0.80 m B F₁ = 5.0N F₂= 8.00 F3 = 6-ON ₁ = 0-60m 2=0.80m T₁ = -r, F, (os (300) t₁ = -(0.60) (5) (05 (300) = -2.60 Nm t₂ = √₂ F₂ Sin 900 t₂ = (0.80) (8) (1) = 6.4 Nm T3 = F₂ F3 Sin (00) = 0Nm
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