Question

Plate ACD Angle [20 pts] -- Note that the same system will be used on the following two problems. The heavy metal plate ACD has the dimensions shown. In an attempt to tilt plate ACD, by rotating it around its base AC, you plan to pull on cable DB with a force of $\vec{F_{DB}} = (1.77, 1.549, -1.106)$ kN. What is angle $\theta$ between force $\vec{F_{DB}}$ and the line DE on the face of the plate? Z D=(0,0,5) m $\vec{F_{DB}} = <1.77, 1.549, -1.106>kN$ plate A=(8,0,0) m X C=(0,6,0) m y B=(8,7,0) m

          Plate ACD Angle [20 pts] -- Note that the same
system will be used on the following two problems.
The heavy metal plate ACD has the dimensions
shown. In an attempt to tilt plate ACD, by rotating it
around its base AC, you plan to pull on cable DB
with a force of $\vec{F_{DB}} = (1.77, 1.549, -1.106)$ kN.
What is angle $\theta$ between force $\vec{F_{DB}}$ and the line
DE on the face of the plate?
Z
D=(0,0,5) m $\vec{F_{DB}} = <1.77, 1.549, -1.106>kN$
plate
A=(8,0,0) m
X
C=(0,6,0) m
y
B=(8,7,0) m

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Plate ACD Angle [20 pts] – Note that the same
system will be used on the following two problems.
The heavy metal plate ACD has the dimensions
shown. In an attempt to tilt plate ACD, by rotating it
around its base AC, you plan to pull on cable DB
with a force of F⃗D⃗B⃗ = (1.77, 1.549, -1.106) kN.
What is angle θ between force F⃗D⃗B⃗ and the line
DE on the face of the plate?
Z
D=(0,0,5) m F⃗D⃗B⃗ = <1.77, 1.549, -1.106>kN
plate
A=(8,0,0) m
X
C=(0,6,0) m
y
B=(8,7,0) m

Added by Scott -.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Gregory Devenport

Step 1

First, let's find the vector DE. The midpoint of AC is given as E, which is the average of A and C: E = (A + C) / 2 = (8, 0, 0) + (0, 6, 0) / 2 = (8, 3, 0) m Show more…

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Plate ACD Angle [20 pts] - Note that the same system will be used on the following two problems. The heavy metal plate ACD has the dimensions shown. In an attempt to tilt plate ACD, by rotating it around its base AC, you plan to pull on cable DB with a force of FpB = 1.77, 1.549, -1.106 kN. What is angle Î¸ between force Fpn and the line DE on the face of the plate? ZA D = 0, 0, 5 m F = <1.77, 1.549, -1.106> kN DH C = 0, 6, 0 m plate E midpoint between A and C A = 8, 0, 0 m B = 8, 7, 0 m X

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