A-Level Maths Specification

OCR A H240

Section 3.04: Moments

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#3.04a

Be able to calculate the moment of a force about an axis through a point in the plane of the body.

For coplanar forces, moments may be described as being about a point.

[Understanding of the vector nature of moments is excluded.]

Parallel and non-parallel coplanar forces

#3.04b

Understand that when a rigid body is in equilibrium the resultant moment is zero and the resultant force is zero.

Equilibrium of rigid bodies

#3.04c

Be able to use moments in simple static contexts.

e.g. To determine the forces acting on a horizontal beam or to determine the forces acting on a ladder resting on horizontal ground against a vertical wall.

Questions will be set in which the context of the problem can be modelled using rectangular laminas, uniform and non-uniform rods only.

Learners may assume that:
1. for a uniform rod the weight acts at the midpoint of the rod,
2. for a non-uniform rod the weight acts at either a specified given point or is to be determined by moments,
3. for a rectangular lamina the weight acts at its point of symmetry.

Equilibrium of rigid bodies Parallel and non-parallel coplanar forces