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JPO 126 Class test 7

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Simple word-problem reinforcement of fractions.

Find the forces in the members of a truss using the method of joints.

Determine the single force which is equivalent to a force and a couple.

Find the force required to produce a given moment, or vice-versa.

An A-frame structure supporting a force and a moment. The feet are at the different vertical positions so the solution will require simultaneous equations, unless you rotate the coordinate system.

Complementary function/particular integral for forced simple harmonic motion (non-resonant)

These practice questions cover:

• resolving axial forces in a truss structure
• stress & strain in a closed thin-walled pressure vessel (an example of 2D plane stress)
• use of Mohr's circle for determining principal stresses for a 2D plane stress case
• calculation of invariants for general 3D stress case, leading to von Mises stress and principal stresses

Field and force (no prior knowledge required for the force)

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

Field and force (no prior knowledge required for the force)

Euler-Bernoulli simply supported beam bending example with point force and moment.

resultant force

resultant force

resultant force

resultant force

resultant force

resultant force

Resultant force

Resultant force

Resultant force