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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 202

In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.

A uniform rod AB AB\,AB of length 4 m and mass 12 kg rests horizontally in equilibrium on two supports at C C\,C and DDD, where AC=xAC = xAC=x m and AD=(x+2.4)AD = (x + 2.4)AD=(x+2.4) m.

A particle of mass 6 kg is attached to the rod at BBB. The reaction of the support on the rod at D D\,D is five times the reaction of the support on the rod at CCC.

a.

Find the value of xxx.

[5]
b.

State one modelling assumption you have made about the particle.

[1]
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4 Unit A2 2: Applied Mathematics (A-level only) Questions

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