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