1. Calculate the torque about the z-axis pointing out of the page at the origin in the following figure given that F₁ = 2 N, F₂=9N, F3 = 4 N, F₁=5 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 e rearrange the vectors so that their tails coincide. Nm k net = tu~ 2 m 3 m K O 2 m F3 FA F₂ YA 30° 20° ILL X

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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 = 2 N, F₂=9N, F3=4 N, F₁=5 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 e rearrange the vectors so that their tails coincide.
Nm k
net
=
tu~
30°
F₂
YA
2m
3 m
V
O
2 m
F3
F4
20°
ILL
X
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 = 2 N, F₂=9N, F3=4 N, F₁=5 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 e rearrange the vectors so that their tails coincide. Nm k net = tu~ 30° F₂ YA 2m 3 m V O 2 m F3 F4 20° ILL X
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