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Moments of a forceEdexcel International A Level Maths: Mind map

Moment
Equilibrium
Rods

Moments

turning effect

F x dN m
Supports
Tilting
Exam tips

Exam questions on Moments of a force

  1. A light rod ABAB of length 2 m is horizontal. A vertical force of 15 N acts downwards at BB, and a vertical force of 24 N acts upwards at the point CC on the rod, where AC=0.5AC=0.5 m.
    The 24 N force is moved to a point DD on the rod, so that the total moment of the two forces about AA is zero. Find ADAD.2 marks
  2. A uniform plank ABAB of length 4 m and mass 30 kg rests horizontally on two supports, one at AA and one at BB. Take g=9.8g=9.8 m s−2^{-2}.
    With the man still standing in that position, find the reaction of the support at AA.2 marks
  3. A uniform rod ABAB of length 3 m and mass 8 kg is held in a horizontal position by two vertical light strings, one attached at AA and the other attached at the point CC on the rod, where BC=1BC=1 m. Take g=9.8g=9.8 m s−2^{-2}.
    Find the tension in the string at AA.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).