Lesson 4C.2.1

4C.2.1 Moment of a force Quiz: Pearson Edexcel Further Maths, Unit 31

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 4C.2.1, Moment of a force: 20 multiple choice questions for the Pearson Edexcel Further Maths (9FM0), Unit 31: Moments and centres of mass, written with Revision Ninja.

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The 20 questions

  1. A force F has perpendicular distance d from a point O to its line of action. What is the moment of F about O?

    • Fd
    • F/d
    • F + d
    • F^2 d

  2. What is the SI unit of the moment of a force?

    • newton metres (Nm)
    • watts (W)
    • newtons (N)
    • newtons per metre (N/m)

  3. For a rigid body in equilibrium under coplanar forces, what is true of the total moment about any point?

    • It equals the sum of the forces
    • It equals the total weight
    • It is zero
    • It is always positive

  4. Using the usual sign convention for moments, a force whose turning effect about a point is anticlockwise gives a moment that is

    • zero
    • equal to its magnitude
    • positive
    • negative

  5. Two equal and opposite forces of magnitude F act on a body with lines of action a distance d apart. What is the moment of this couple?

    • Fd
    • F/d
    • zero
    • 2Fd

  6. A force has its line of action passing through the point about which moments are taken. What is its moment about that point?

    • zero
    • twice its magnitude
    • undefined
    • its magnitude

  7. A uniform rod of weight W and length L is pivoted at one end and held horizontal. What is the moment of its weight about the pivot?

    • WL
    • W/L
    • 2WL
    • WL/2

  8. A spanner is pulled with a force of 12 N perpendicular to its 0.3 m arm, at the end of the arm. What is the moment of the force about the bolt?

    • 0.025 Nm
    • 40 Nm
    • 3.6 Nm
    • 36 Nm

  9. A uniform rod of length 2 m and weight 10 N rests horizontally on a pivot at its left end. What is the moment of its weight about the pivot?

    • 0 Nm
    • 5 Nm
    • 10 Nm
    • 20 Nm

  10. Coplanar forces act on a rod lying along the x-axis with end A at x = 0. A 4 N force acts upward at x = 1 m and an 8 N force acts downward at x = 2 m. What is the total moment about A?

    • 20 Nm anticlockwise
    • 4 Nm anticlockwise
    • 12 Nm clockwise
    • 12 Nm anticlockwise

  11. A uniform rod AB of length 4 m and weight 20 N is smoothly pivoted at A and held horizontal by a vertical string at B. What is the tension in the string?

    • 20 N
    • 40 N
    • 5 N
    • 10 N

  12. A couple of moment 12 Nm is formed by two equal and opposite forces of 4 N. How far apart are their lines of action?

    • 8 m
    • 3 m
    • 0.33 m
    • 48 m

  13. A force of 15 N acts at a point 0.8 m from a pivot, with its line of action at 30 degrees to the line from the pivot to that point. What is its moment about the pivot?

    • 6sqrt(3) Nm
    • 3 Nm
    • 12 Nm
    • 6 Nm

  14. A horizontal force of 10 N acts on a block at a height of 0.6 m above its base. What is its moment about a point on the base?

    • 6 Nm
    • 10 Nm
    • 16 Nm
    • 0.06 Nm

  15. A rod of length 1 m is pivoted at one end. A 5 N force acts perpendicular to the rod at its free end and a 2 N force acts perpendicular to it at its midpoint, both turning the rod the same way. What is the total moment about the pivot?

    • 3 Nm
    • 6 Nm
    • 5.5 Nm
    • 7 Nm

  16. A uniform rod AB of length 6 m and weight 24 N is hinged at A and held horizontal by a vertical string at B. A 12 N weight hangs from the rod at 2 m from A. What is the tension in the string?

    • 12 N
    • 8 N
    • 16 N
    • 20 N

  17. A uniform rod AB of length 4 m and weight 10 N is hinged at A. A light string attached at B makes an angle of 30 degrees with the rod, which is horizontal. What is the tension in the string?

    • 5sqrt(3) N
    • 20 N
    • 40 N
    • 10 N

  18. A uniform beam AB of length 6 m and weight 30 N rests horizontally on supports at A and B. A 12 N load acts at 2 m from A. What is the reaction at A?

    • 27 N
    • 21 N
    • 23 N
    • 19 N

  19. A couple consists of two forces of 4 N acting in opposite directions with lines of action 2.5 m apart. What is its moment about a point 1 m from one of the lines of action?

    • 10 Nm
    • 20 Nm
    • 5 Nm
    • 0 Nm

  20. A single non-zero force has zero moment about a point O. What can be deduced about the force?

    • The force is horizontal
    • The force is perpendicular to the line from O to its point of application
    • Its line of action passes through O
    • The force is zero

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