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Edexcel IAL Mathematics M1.1 mathematical models in mechanics

Practise explaining how mechanics models use assumptions about particles, rods, light strings and resistance to turn physical situations into solvable problems.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • state modelling assumptions such as smooth surfaces, particles or light strings from the context
  • suggest realistic refinements and explain how they change forces, motion or calculations

M1.1 - Mathematical models in mechanics question 1

[Maximum number: 1]
Figure 3

Figure 3

A particle A of mass 4 kg is held at rest on a rough horizontal table. Particle A is attached to one end of a string that passes over a pulley P. The pulley is fixed the the of the table. The other end of the string is attached to a particle B, of mass 3 kg, which hangs freely below P.

The part of the string from A to P is perpendicular to the edge of the table and A, P and B all lie in the same vertical plane.

The string is modelled as being light and inextensible and the pulley is modelled as being small, smooth and light.

The system is released from rest with the string taut. At the instant of release, A is 2 m from the edge of the table and B is 1.4 m above a horizontal floor, as shown in Figure 3.

After descending with constant acceleration for 2 seconds, B hits the floor and does not rebound.

State which of the modelling assumptions you have used in order to answer part (a).

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