# Vector Statics (ME 214)

**Introduction and Example - Vector math**** Introduction and Example - Law of cosines**** Introduction and Example - Law of sines**** Introduction and Example - Dot product**** Introduction and Example - Cross product**** Introduction and Example - Moments in 2D****Introduction and Example - 2D and 3D vector components**

**Example - Decompose 3D vector into x, y, z components #1****Example - Decompose 3D vector into x, y, z components #2****Example - Vector operations****Example - Dot product****Example - Dot product - Find angle between two vectors #1****Example - Dot product - Find angle between two vectors #2****Example - 3D dot product****Example - Triple product #1****Example - Triple product #2**

**Example - Slender bar supported by pin-joint and rope ****Example - Slider on a horizontal bar ****Example - Pulley system ****Example - Applied forces on a rope ****Example - L-shaped bar with roller****Example - Bar supported by pin and rope****Example - Bar supported by pin and roller****Example - Frame with one two-force member****Example - Frame with multiple two-force members****Example - Frame #1****Example - Frame #2, #3****Example - Frame #4****Example - 3D supports**

**Introduction and Example - 2D particle equilibrium**** Introduction and Example - 2D rigid body equilibrium**

**Example - Forces on a rectangular plate****Example - Bars with sliders****Example - Slider on vertical bar with spring****Example - Bar supported by two rollers****Example - Frame #1****Example - Frame #2****Example - Frame with a two-force member #1****Example - Frame with a two-force member #2****Example - Frame with a two-force member #3****Example - Vertical bar supported with ropes (3D)**

**Introduction & Example - Couples****Example - 2D equivalent force-couple system #1****Example - 2D equivalent force-couple system #2****Example - 3D equivalent force-couple system****Example - 2D moment #1****Example - 2D moment #2**

**Introduction & Example - Truss analysis**

**Example - Method of sections and method of joints #1****Example - Method of sections and method of joints #2****Example - Method of sections #3****Example - Method of sections #4**

**Example - Centroids and 2D areas****Example - Centroids and 2D composite areas****Example - Moment of inertia - 2D composite areas****Example - Moment of inertia - Parallel axis theorem**