1. Calculate the torque about the z-axis pointing out of the page at the origin in the following figure given that F₁ =3 N, F₂ = 9 N, F3=8 N, F₁=2 N. Hint: Use the sign convention for torques, counter-clockwise rotation corresponds to a torque in the positive z-direction and clockwise rotation corresponds to a torque in the negative z-direction. Which forces produce clockwise rotations and which forces produce counter-clockwise rotations? While using the formula for cross-product AxB = ABsine, remember that is the angle between the tails of the vectors A and B. To determine 0 rearrange the vectors so that their tails coincide. Nm k net = F₂ 30° F3 YA 2 m O 3 m 2 m F4 20° F₁

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Chapter1: Units, Trigonometry. And Vectors
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1. Calculate the torque about the z-axis pointing out of the page at the origin in the following
-
figure given that F₁ =3 N, F₂ = 9 N, F3=8 N, F₁=2 N.
Hint: Use the sign convention for torques, counter-clockwise rotation corresponds to a torque in the
positive z-direction and clockwise rotation corresponds to a torque in the negative z-direction.
Which forces produce clockwise rotations and which forces produce counter-clockwise rotations?
While using the formula for cross-product A x B= ABsine, remember that is the angle between the
tails of the vectors A and B. To determine 0 rearrange the vectors so that their tails coincide.
Nm k
net
=
F₂
30°
F3
YA
2 m
O
3 m
2 m
F4
20°
F₁
Transcribed Image Text:1. Calculate the torque about the z-axis pointing out of the page at the origin in the following - figure given that F₁ =3 N, F₂ = 9 N, F3=8 N, F₁=2 N. Hint: Use the sign convention for torques, counter-clockwise rotation corresponds to a torque in the positive z-direction and clockwise rotation corresponds to a torque in the negative z-direction. Which forces produce clockwise rotations and which forces produce counter-clockwise rotations? While using the formula for cross-product A x B= ABsine, remember that is the angle between the tails of the vectors A and B. To determine 0 rearrange the vectors so that their tails coincide. Nm k net = F₂ 30° F3 YA 2 m O 3 m 2 m F4 20° F₁
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