Engineering Statics

Solve for the internal force in three members of a truss.

Solve Truss by the method of joints.  The solution is simplified by recognizing symmetry.

Pulley supported by a cable, so the tension in the rope is constant.    Advice is a youtube video showing how to solve the problem.

Use the parallelogram rule to solve a force triangle.

Shear and Bending Moment diagram for a beam with several concentrated loads.  Student can't see V & M diagrams a hints.

Find the force required to balance a see-saw.

Find the rectangular (scalar) components of a force for two coordinates systems.

Solve a random oblique triangle for sides and angles.

Find the reactions for a beam with a uniformly varying distributed load.

Friction

Student estimates, then calculates exactly and symbolically the value of $k$ for a parabola $y = k x^2$ which passes through a given point.

Equilibrium of a rigid body.  Find tension to raise a pole.

Determine the moment of a force about a point by using $M= F d_\perp$ or $M = F_\perp d$.

A hand truck on wheels.  Easiest to solve by rotating coordinate system.

Find the tension in a rope necessary to prevent a bracket from rotating by applying $\Sigma M = 0$.

Two forces act on a bell crank. This problem has two unknown magnitudes and an unknown direction which makes it tricky to solve by the equilibrium equation method.  

The solution is much simpler if three force body principle is used.

Find the reactions of a rigid body (a triangular plate) at a pin and roller, using the three-force body principle.

Classic problem of a vehicle parked on an incline.  Best solved by rotating the coordinate system.

Image Credit: https://svgsilh.com/image/34325.html  CC-0

Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.

Rigid body equilibrium problem.  Easiest to solve by replacing forces on the perimiter of the pulley with equivalent forces at the axle.

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.

Equilibrium of two interacting particles.