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- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/03%3A_Equilibrium_of_Particles/3.05%3A_Particles_in_Three_DimensionsLet’s suppose that the line of action goes through two points \(A\) and \(B\text{,}\) and the direction of the force is from \(A\) towards \(B\text{.}\) The first step in determining the three angles ...Let’s suppose that the line of action goes through two points \(A\) and \(B\text{,}\) and the direction of the force is from \(A\) towards \(B\text{.}\) The first step in determining the three angles is to write the distance vector from point \(A\) towards point \(B\text{.}\) Let’s call this vector \(\vec{r}_{AB}\text{.}\) Starting at point \(A\text{,}\) you need to determine how to get to point \(B\) by moving in each of the three directions.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/05%3A_Rigid_Body_Equilibrium/5.05%3A_3D_Rigid_Body_Equilibrium\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}...\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}[1]{#1~\text{kg} } \newcommand{\lbm}[1]{#1~\text{lb}_m } \newcommand{\slug}[1]{#1~\text{slug} } \newcommand{\m}[1]{#1~\text{m}} \newcommand{\km}[1]{#1~\text{km}} \newcommand{\cm}[1]{#1~\text{cm}} \newcommand{\mm}[1]{#1~\text{mm}} \newcommand{\ft}[1]{#1~\text{ft}} \newcommand{\inch}[1]{#1~\text{in}}…
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/00%3A_Front_Matter/01%3A_About_the_Authors\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}...\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}[1]{#1~\text{kg} } \newcommand{\lbm}[1]{#1~\text{lb}_m } \newcommand{\slug}[1]{#1~\text{slug} } \newcommand{\m}[1]{#1~\text{m}} \newcommand{\km}[1]{#1~\text{km}} \newcommand{\cm}[1]{#1~\text{cm}} \newcommand{\mm}[1]{#1~\text{mm}} \newcommand{\ft}[1]{#1~\text{ft}} \newcommand{\inch}[1]{#1~\text{in}}…
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/08%3A_Internal_Loadings/8.07%3A_Graphical_Method\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}...\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}[1]{#1~\text{kg} } \newcommand{\lbm}[1]{#1~\text{lb}_m } \newcommand{\slug}[1]{#1~\text{slug} } \newcommand{\m}[1]{#1~\text{m}} \newcommand{\km}[1]{#1~\text{km}} \newcommand{\cm}[1]{#1~\text{cm}} \newcommand{\mm}[1]{#1~\text{mm}} \newcommand{\ft}[1]{#1~\text{ft}} \newcommand{\inch}[1]{#1~\text{in}}…
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/08%3A_Internal_Loadings/8.02%3A_Sign_Conventions\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}...\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}[1]{#1~\text{kg} } \newcommand{\lbm}[1]{#1~\text{lb}_m } \newcommand{\slug}[1]{#1~\text{slug} } \newcommand{\m}[1]{#1~\text{m}} \newcommand{\km}[1]{#1~\text{km}} \newcommand{\cm}[1]{#1~\text{cm}} \newcommand{\mm}[1]{#1~\text{mm}} \newcommand{\ft}[1]{#1~\text{ft}} \newcommand{\inch}[1]{#1~\text{in}}…
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/07%3A_Centroids_and_Centers_of_Gravity/7.03%3A_Center_of_Mass\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}...\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}[1]{#1~\text{kg} } \newcommand{\lbm}[1]{#1~\text{lb}_m } \newcommand{\slug}[1]{#1~\text{slug} } \newcommand{\m}[1]{#1~\text{m}} \newcommand{\km}[1]{#1~\text{km}} \newcommand{\cm}[1]{#1~\text{cm}} \newcommand{\mm}[1]{#1~\text{mm}} \newcommand{\ft}[1]{#1~\text{ft}} \newcommand{\inch}[1]{#1~\text{in}}…
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/02%3A_Forces_and_Other_Vectors/2.04%3A_Three_Dimensional_Coordinate_Systems\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}...\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}[1]{#1~\text{kg} } \newcommand{\lbm}[1]{#1~\text{lb}_m } \newcommand{\slug}[1]{#1~\text{slug} } \newcommand{\m}[1]{#1~\text{m}} \newcommand{\km}[1]{#1~\text{km}} \newcommand{\cm}[1]{#1~\text{cm}} \newcommand{\mm}[1]{#1~\text{mm}} \newcommand{\ft}[1]{#1~\text{ft}} \newcommand{\inch}[1]{#1~\text{in}}…
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/05%3A_Rigid_Body_Equilibrium/5.01%3A_Degree_of_Freedom\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}...\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}[1]{#1~\text{kg} } \newcommand{\lbm}[1]{#1~\text{lb}_m } \newcommand{\slug}[1]{#1~\text{slug} } \newcommand{\m}[1]{#1~\text{m}} \newcommand{\km}[1]{#1~\text{km}} \newcommand{\cm}[1]{#1~\text{cm}} \newcommand{\mm}[1]{#1~\text{mm}} \newcommand{\ft}[1]{#1~\text{ft}} \newcommand{\inch}[1]{#1~\text{in}}…
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/06%3A_Equilibrium_of_Structures/6.02%3A_Interactions_between_members\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}...\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}[1]{#1~\text{kg} } \newcommand{\lbm}[1]{#1~\text{lb}_m } \newcommand{\slug}[1]{#1~\text{slug} } \newcommand{\m}[1]{#1~\text{m}} \newcommand{\km}[1]{#1~\text{km}} \newcommand{\cm}[1]{#1~\text{cm}} \newcommand{\mm}[1]{#1~\text{mm}} \newcommand{\ft}[1]{#1~\text{ft}} \newcommand{\inch}[1]{#1~\text{in}}…
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/05%3A_Rigid_Body_Equilibrium/5.04%3A_2D_Rigid_Body_Equilibrium\begin{align*} \sum F_{x'} \amp = 0 \\ B - C_{x'} + A_{x'} \amp = 0\\ A_{x'} \amp = -B + C \sin \ang{30} \amp \amp (1)\\ \\ \sum F_{y'} \amp = 0\\ C_{y'} + A_{y'} \amp= 0\\ A_{y'} \amp= C \cos \ang{30...\begin{align*} \sum F_{x'} \amp = 0 \\ B - C_{x'} + A_{x'} \amp = 0\\ A_{x'} \amp = -B + C \sin \ang{30} \amp \amp (1)\\ \\ \sum F_{y'} \amp = 0\\ C_{y'} + A_{y'} \amp= 0\\ A_{y'} \amp= C \cos \ang{30} \amp \amp (2)\\ \\ \sum M_A \amp = 0 \\ -B_x( 3) -B_y(7)+C(4) + D \amp = 0\\ 3 B \cos \ang{60} + 7 B \sin \ang{60} \amp = 4 C + D \\ B (3 \cos \ang{60} + 7 \sin \ang{60})\amp = 4 C + D \\ B \amp = \frac{4 C + D}{7.56} \amp \amp (3) \end{align*}
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Engineering_Statics%3A_Open_and_Interactive_(Baker_and_Haynes)/04%3A_Moments_and_Static_Equivalence/4.05%3A_Couples\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}...\(\require{cancel} \let\vecarrow\vec \renewcommand{\vec}{\mathbf} \newcommand{\ihat}{\vec{i}} \newcommand{\jhat}{\vec{j}} \newcommand{\khat}{\vec{k}} \DeclareMathOperator{\proj}{proj} \newcommand{\kg}[1]{#1~\text{kg} } \newcommand{\lbm}[1]{#1~\text{lb}_m } \newcommand{\slug}[1]{#1~\text{slug} } \newcommand{\m}[1]{#1~\text{m}} \newcommand{\km}[1]{#1~\text{km}} \newcommand{\cm}[1]{#1~\text{cm}} \newcommand{\mm}[1]{#1~\text{mm}} \newcommand{\ft}[1]{#1~\text{ft}} \newcommand{\inch}[1]{#1~\text{in}}…
