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Pearson Edexcel IAL Mathematics M2.5 Statics of rigid bodies Question Bank

Practise rigid body statics with rods, beams and girders by taking moments, resolving forces and finding reactions or limiting values.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • take moments about a chosen point to form equations for rods, beams or girders
  • resolve coplanar forces to find hinge reactions or resultant forces at supports
  • use limiting equilibrium conditions to calculate masses, loads or largest possible constants

Covered syllabus points

M2.5.1 - Moment of a forceM2.5.2 - Equilibrium of rigid bodies

M2.5 - Statics of rigid bodies question 1

[Maximum number: 9]
Figure 4

Figure 4

A uniform rod⁡AB\operatorname{rod} A B has length 8 a and weight W.
The end A of the rod is freely hinged to a fixed point on a vertical wall.
A particle of weight 14W\frac{1}{4} W is attached to the rod at B.
A light inelastic string of length 5 a has one end attached to the rod at the point C, where A C=5 a.

The other end of the string is attached to the wall at the point D, where D is above A and A D=5 a, as shown in Figure 4.

The rod rests in equilibrium.
The tension in the string is T.

Question (a)

(a)

Show that T=65 WT=\frac{6}{5} \mathrm{~W}

[ 3 ]

Question (b)

(b)

Find, in terms of W, the magnitude of the force exerted on the rod by the hinge at A.

[ 6 ]

M2.5 - Statics of rigid bodies question 2

[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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