Use the parallel axis theorem to find the area moment of inertia of a triangle and a rectangle about various axes.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Find centroidal moments of inertia and radius of gyration for a beam composed of  two angle sections forming a box beam.

Find the centroid and the centroidal moments of inertia for a beam composed of a flat plate and two angle sections.

Calculate the moment of inertia of a composite shape consiting of two rectangles about the x or y-axis.  Parallel axis theorem is often required.

Find moment of inertia of a composite shape consisting of a rectangle and two triangles with respect to the x-axis. Shapes rest on the x-axis so the parallel axis theorem is not required.

A mixture of right angled triangle questions.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths and randomises asking for hypotenuse or not.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Find moment of inertia wrt the x- and y- axes for a shape made up of two rectangles.

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

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

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

testing sin, cos, tan of angles that are negative or greater than 2pi radians that result in nice exact values. 

exact value of testing sin, cos, tan of angles that are negative or greater than 360 degrees that result in nice exact values. 

Solve a random oblique triangle for sides and angles.

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

Homework set.  Calculate Moment of Inertia for I beams, channels, angles, etc.

Draws a triangle based on 2 angles and a side length.

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Find the missing angle in a triangle using the fact that the angles add to 180 degrees.

Draws a triangle based on 3 input points. Calculates length, area, perimeter, heights and internal angles

Convert from degrees to radians

Convert from radians to degrees