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Edexcel A-Level Mathematics A2 M2.5.1 Moment of a Force Questions

Practise taking moments about a pivot, resolving perpendicular distances, and forming dimensionally correct equations to prove or find force and reaction relationships.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • take moments about a pivot and use perpendicular distances to show a stated force relation

Edexcel A-Level Mathematics A2 M2.5.1 Moment of a Force Questions question 1

[Maximum number: 3]
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.

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

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