Engineering Statics

Determine the oblique components of a vector.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.

Three random forces act on a particle.  Determine the force required for equilibirum.

Find the tensions in two ropes supporting a weight.

Determine the resultant of three random 2-D vectors.  

Two dimensional particle equilibrium problem.  Advice shows how to use how to use slope triangles to find sines and cosines, rather than finding the angle and using that.

Given a point and a line, determine the distance between them.

Replace two forces with a equivalent force-couple system at a specified point.

Student calculates $\bar{y}$ for a triangle.  Must use similar triangles get element $dA$.

Find the magnitude and direction of a force given its scalar components.

Find reactions for a particle in equilibrium

Find forces required to hold a particle in equilibrium when subjected to a downward load.  Directions of the reactions are given.  

3D equilibrium of a particle problem.  Rectangular steel plate supported by three cables, dimensions and density given.

Student is given two points defined symbolically, and must find the equation of the line they define, then use integration to find an equation for the area under the line, bounded by the x-axis and vertical lines through the two points.   

Find the reactions of a rigid body (a truss) at a pin and roller.  All loads are either horizontal or vertical.

Determine frictional force acting on a block on an incline.  Coefficients of friction, weight and a horizontal force are given

Friction

Friction

Friction

Replace two parallel forces with an equivalent single force

Replace three tangential forces with an equivalent force-couple system acting at the center of a circle.

Find the centroid of a shape made up of a rectangle and two triangles.

Friction

Find the reactions of a rigid body (a triangular plate) at a pin and roller.  The load is at an angle.

Find the tensions is a system of cables supporting two loads.

Classic machine problem.  Find the mechanical advantage of a pair of pliers and the force on the hinge pin.

Simple truss with a zero-force member