Lesson S1

S1 Moments in static contexts Quiz: AQA Maths, Unit 12

20 questions

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Lesson S1, Moments in static contexts: 20 multiple choice questions for the AQA Maths (7357), Unit 12: Mechanics, written with Revision Ninja.

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The 20 questions

  1. The moment of a force about a point is:

    • The force multiplied by the total distance travelled
    • The force divided by the distance from the point
    • The force multiplied by the perpendicular distance from the point to the line of action
    • The component of the force along the line joining the point and the force
  2. What is the SI unit of moment?

    • N
    • kg m s^-1
    • N m
    • N m^-1
  3. What does the principle of moments state for a body in equilibrium?

    • The sum of all forces is zero, and nothing about moments
    • Clockwise moments are twice the anticlockwise moments
    • All moments are zero
    • The sum of clockwise moments about a point equals the sum of anticlockwise moments
  4. Where does the weight of a uniform rod act?

    • At one end
    • At the pivot
    • At its midpoint
    • At the lowest point of the rod
  5. A force of 20 N acts perpendicular to a spanner at a distance of 0.5 m from the pivot. What is the moment?

    • 20.5 N m
    • 0.025 N m
    • 40 N m
    • 10 N m
  6. A force of 60 N acts perpendicularly at 1.5 m from a pivot. What is the moment about the pivot?

    • 60 N m
    • 40 N m
    • 90 N m
    • 1.5 N m
  7. A force of 10 N acts at the end of a 2 m rod, at 30 degrees to the rod. What is the moment about the other end?

    • 17.3 N m
    • 5 N m
    • 10 N m
    • 20 N m
  8. A uniform 4 m rod of weight 30 N is pivoted at one end and held horizontal. What is the moment of its weight about the pivot?

    • 15 N m
    • 30 N m
    • 60 N m
    • 120 N m
  9. A child of weight 300 N sits 1.5 m from the pivot of a see-saw. Another child of weight 200 N balances it. How far from the pivot is the second child?

    • 0.67 m
    • 1.5 m
    • 3 m
    • 2.25 m
  10. A rod of length 1.2 m is pivoted at one end. A vertical force of 8 N acts at the far end perpendicular to the rod. What is the moment about the pivot?

    • 8 N m
    • 1.2 N m
    • 9.6 N m
    • 6.67 N m
  11. A uniform rod of length 2 m and weight 10 N is held horizontal by a smooth pivot at one end and a vertical force P at the other end. What is P?

    • 20 N
    • 10 N
    • 2.5 N
    • 5 N
  12. A uniform beam AB of length 6 m and weight 60 N rests horizontally on supports at A and at a point B 4 m from A. What is the reaction at B?

    • 60 N
    • 15 N
    • 45 N
    • 30 N
  13. For the beam in the previous question (length 6 m, weight 60 N, supports at A and 4 m from A), what is the reaction at A?

    • 15 N
    • 30 N
    • 60 N
    • 45 N
  14. A uniform rod of length 4 m and weight 20 N is pivoted 1 m from its left end. A 30 N weight hangs from the left end. What is the net moment about the pivot?

    • 0 N m
    • 10 N m clockwise
    • 50 N m clockwise
    • 10 N m anticlockwise
  15. Forces of 4 N at 2 m and 3 N at 4 m from a pivot act perpendicularly in opposite senses. What is the net moment?

    • 8 N m
    • 0 N m
    • 4 N m in the sense of the 3 N force
    • 12 N m
  16. Which statement describes the conditions for equilibrium of a rigid body?

    • The resultant force is zero and the net moment about any point is zero
    • The resultant force must be non-zero
    • Only the moments about one chosen point need be zero
    • The net moment must be non-zero
  17. A uniform beam of length 8 m and weight 80 N is held horizontal by a vertical string at its right end and a pivot at its left end. What is the force from the pivot?

    • 40 N
    • 80 N
    • 20 N
    • 160 N
  18. A 2 m rod has a 12 N force at one end, perpendicular to the rod. A 6 N force acts perpendicularly at 1 m from the pivot at the other end, in the opposite sense. What is the net moment?

    • 24 N m
    • 6 N m
    • 30 N m
    • 18 N m
  19. A seesaw of length 4 m pivoted at its centre has 200 N at 1.2 m left of centre. A 300 N person sits on the right. How far from the centre must the person sit for balance?

    • 1.8 m
    • 0.8 m
    • 1.2 m
    • 0.6 m
  20. A uniform plank of weight 50 N and length 4 m is supported on a pivot 1 m from its left end. A 30 N load is placed at the left end. What is the net moment about the pivot?

    • 20 N m, turning the left side down
    • 0 N m
    • 80 N m, turning the right side down
    • 20 N m, turning the right side down

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