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Question 30

A non uniform rod AB AB\,AB has length 5 m and mass 12 kg. The rod is supported by two light inextensible strings attached at A A\,A and CCC, where AC=3AC = 3AC=3 m.

Diagram of a horizontal non-uniform rod AB supported by vertical strings at A and C, with AC and AB dimension arrows below.

a.

Given that the tension in the string at A A\,A is twice the tension in the string at CCC, find the tension in the string at CCC.

[2]
b.

Show that, taking moments about AAA,

12gx=3(4g). 12gx = 3(4g). 12gx=3(4g).
[2]
c.

Hence find the distance of the rod's centre of mass from AAA.

[2]
Markscheme

Moments Questions

  1. A Level
  2. /Maths
  3. /Moments

54 exam-style questions on Edexcel A Level Maths Moments, covering 4.1 Moments, 4.2 Resultant Moments, 4.3 Equilibrium, 4.4 Centres of Mass, and 4.5 Tilting. Each one has a worked solution and a mark scheme showing where the marks go.

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