MathsYears 12–13Mechanics

Dynamics and connected particles

Apply F=ma to systems of connected particles; pulleys, tow-bars and lift problems

What you'll learn

  1. 1

    Imagine two train carriages connected by a chain. When the engine pulls, both move together — that's connected particles!

  2. 2

    Two blocks (A and B) are connected by a light string on a frictionless table. A force of 12 N pulls A. Drag the blocks to see how they move together.

  3. 3

    Two particles (A = 2 kg, B = 3 kg) are connected by a light string. A force of 20 N pulls A. Find the acceleration.

  4. 4

    Two connected particles have total mass 8 kg. A force of 40 N pulls the system. What is the acceleration?

  5. 5

    Now find the tension in the string connecting the two blocks. Use the acceleration you just found (5 m/s²) and consider only one block.

  6. 6

    Using the acceleration from before (5 m/s²), find the tension in the string if the back block has mass 3 kg.

  7. 7

    Two connected particles (2 kg and 4 kg) accelerate at 3 m/s². What is the tension in the string pulling the 4 kg block?

Practise Dynamics and connected particles with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.