Engineering Statics

Calculate the moment of a force about three points using Verignon' theorem.  All forces and points are in the same plane.

Two known forces, and a third with known magnitude act on a rigid body.  Apply $\Sigma M = 0$ about a pin restraint to determine the direction of the third force.  The problem has two valid answers.

End of chapter exercises for Engineering Statics: Open and Interactive 

End of chapter exercises for Engineering Statics: Open and Interactive 

Equilibrium of two interacting particles.

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.

Homwork Set.  Covers graphical, and trigonometric methods of vector addition.

Homework set.  Find components of vectors in various situations.

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.

Homework Set.  Three problems to brush up on trig skills.  Right triangles and sine and cosine law.

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.  

Homework set.  Variations on problems involving single particle equilibrium.

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.

End of chapter exercises for Engineering Statics: Open and Interactive 

End of chapter exercises for Engineering Statics: Open and Interactive 

End of chapter exercises for Engineering Statics: Open and Interactive 

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