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

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

Homework set.  Rigid body equilibrium solved using the three-force body principle.

Homework set.  Identify student errors when drawing free body diagrams.

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

Homework set.  Find internal shear force, normal force, and bending moment at a designated point in a rigid body.

AMRC Skills Audit - covering the following programmes:

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

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An A-frame structure supporting a force or a moment.  One leg is a two force body.

Question asks students to find the time taken for an object thrown vertically upward from a platform to reach the ground. Set up randomly chooses environment to be on Earth, Mars or the Moon and uses appropriate acceleration due to gravity. The initial velocity of the body and height of the platform above the ground are randomly selected. In this version students are expected to write up their working and submit it seperately to the Numbas question. Students are expcted to recognise that only the positive solution has physical significance.

Foundation Mechanics Question involving a body on a plane

The student is asked to give the roots of a quadratic equation. They should be able to enter the numbers in any order, and each correct number should earn a mark.

When there's only one root, the student can only fill in one of the answer fields.

This is implemented with a gap-fill with two number entry gaps. The gaps have a custom marking algorithm to allow an empty answer. The gap-fill considers the student's two answers as a set, and compares with the set of correct answers.

The marking corresponds to this table:

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

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.

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.

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

Recovering original function given some information such as derivative and value at some point.

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

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

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

Using $F=ma$ to find magnitudes of unknown forces acting on an accelerating body.

Using $F=ma$ to find magnitudes of unknown forces acting on an accelerating body.