Lesson 3.03u

3.03u Problems involving connected particles Quiz: OCR Maths, Unit 18

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3.03u, Problems involving connected particles: 20 multiple choice questions for the OCR Maths (H240), Unit 18: Forces and Newton's Laws, written with Revision Ninja.

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The 20 questions

  1. What is the maximum value of static friction force for normal reaction R?

    • μ R²
    • μR
    • μ + R
    • R / μ

  2. What term describes a body on the point of slipping on a rough surface?

    • Dynamic equilibrium
    • Limiting equilibrium
    • Unstable equilibrium
    • Neutral equilibrium

  3. In which direction does friction act relative to the direction of motion?

    • Perpendicular direction
    • Downward direction
    • Same direction
    • Opposite direction

  4. What unit is used for the coefficient of friction?

    • No unit
    • Metres per second
    • Newtons
    • Kilograms

  5. How is the moment of a force about a point calculated?

    • Force times distance
    • Velocity times time
    • Mass times acceleration
    • Force divided by distance

  6. At what angle to a beam does a force produce maximum moment for a given distance?

    • 45 degrees
    • 180 degrees
    • 0 degrees
    • 90 degrees

  7. For a mass m on a slope of angle θ, what is the weight component parallel to the slope?

    • mg tan θ
    • mg
    • mg cos θ
    • mg sin θ

  8. For a mass m on a slope of angle θ, what is the normal reaction force?

    • mg
    • mg tan θ
    • mg cos θ
    • mg sin θ

  9. A 4 kg mass rests on a rough horizontal surface with μ = 0.5. What is maximum friction?

    • 19.6 N
    • 2.0 N
    • 9.8 N
    • 39.2 N

  10. What is the moment of a 10 N force acting perpendicularly 2 metres from a pivot?

    • 20 Nm
    • 8 Nm
    • 5 Nm
    • 12 Nm

  11. Two masses of 3 kg and 2 kg are connected over a smooth pulley. What is their acceleration?

    • g
    • 0.5g
    • 0.1g
    • 0.2g

  12. Which pulley property ensures that string tension is equal on both sides?

    • Inextensible string
    • Smooth pulley
    • Light string
    • Heavy pulley

  13. Which property of a string ensures that connected particles have identical acceleration?

    • Elastic string
    • Light string
    • Inextensible string
    • Smooth string

  14. A 20 N block slides down a rough 30 degree slope at constant speed. What is friction?

    • 17.3 N
    • 0 N
    • 10 N
    • 20 N

  15. A 30 N normal reaction block is in limiting friction with a 15 N horizontal force. What is μ?

    • 2.0
    • 0.25
    • 0.5
    • 1.5

  16. When clockwise and anticlockwise moments about a pivot are equal, what state is achieved?

    • Limiting friction
    • Translational motion
    • Terminal velocity
    • Rotational equilibrium

  17. A tow truck accelerates a 1000 kg car at 2 m/s² with towbar tension 2500 N. What is resistance?

    • 2000 N
    • 500 N
    • 2500 N
    • 4500 N

  18. What is the friction force for mass m sliding on a rough slope of angle θ with coefficient μ?

    • mg cos θ
    • μ mg sin θ
    • μ mg cos θ
    • μ mg

  19. Two connected 5 kg masses are pulled along a smooth surface by a 40 N force. What is tension?

    • 0 N
    • 20 N
    • 40 N
    • 10 N

  20. A 25 N weight sits 2 m left of a pivot. What weight 1 m right balances the rod?

    • 100 N
    • 25 N
    • 50 N
    • 12.5 N

All OCR Maths quizzes