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Edexcel A-Level Mathematics A2 M2.5.2 Equilibrium of Rigid Bodies Questions

Practise equilibrium of rods, beams and ladders using moments, force resolution, friction limits and support reactions in coplanar systems.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • combine moments with vertical or horizontal resolution to solve for loads and reactions
  • find resultant hinge or support forces from perpendicular components
  • apply limiting equilibrium to rods or ladders on rough or smooth supports

Edexcel A-Level Mathematics A2 M2.5.2 Equilibrium of Rigid Bodies Questions question 1

[Maximum number: 3]
Figure 1

Figure 1

A uniform circular disc C has centre X and radius R.
A disc with centre Y and radius r, where 0<r<R and X Y=R-r, is removed from C to form the template shown shaded in Figure 1.

The centre of mass of the template is a distance k r from X.

The mass of the template is M.

Find, in terms of M, the mass of the lightest particle that could be attached to the template so that it would hang in equilibrium from P with XY horizontal.

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