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Edexcel A-Level Mathematics AS M1.1.1 Basic Ideas of Mathematical Questions

Practise explaining light and inextensible strings, particle and rod assumptions, smooth pulleys, and realistic model limitations from local M1 evidence.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • link a light string to equal tension throughout a section of string
  • explain how modelling a block as a particle makes its mass act at one point
  • state how a rod or beam assumption keeps the object straight and rigid
  • use an inextensible-string assumption to equate the acceleration magnitudes of connected particles
  • state that a smooth pulley gives equal tension on both sides
  • identify omitted physical effects that would make a mechanics model more realistic

Edexcel A-Level Mathematics AS M1.1.1 Basic Ideas of Mathematical Questions question 1

[Maximum number: 1]
Figure 2

Figure 2

A beam ADCB has length 5 m. The beam lies on a horizontal step with the end A on the step and the end B projecting over the edge of the step. The edge of the step is at the point D where DB=1.3 mD B=1.3 \mathrm{~m}, as shown in Figure 2.

When a small boy of mass 30 kg stands on the beam at C, where CB=0.5 mC B=0.5 \mathrm{~m}, the beam is on the point of tilting.

The boy is modelled as a particle and the beam is modelled as a uniform rod.

State how you have used the modelling assumption that the block is a particle in your calculations.

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