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2 Unit AS 2: Applied Mathematics

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Question 10

A box C C\,C of mass 3 kg is held at rest on a rough surface inclined at an angle α \alpha\,α to the horizontal, where cos⁡α=0.8\cos \alpha = 0.8cosα=0.8. It is connected to a box D D\,D of mass 7 kg by a light inextensible string passing over a smooth pulley. D D\,D hangs vertically. The string is parallel to the slope. The coefficient of friction between C C\,C and the plane is 0.25. The system is released from rest.

a.

Find the tension in the string as the boxes accelerate.

[7]
b.

Once D D\,D reaches the floor, C C\,C continues to move up the plane until it stops. Determine whether box C C\,C will remain at rest in its highest position.

[2]
c.

Suggest two refinements to the model that would make it more realistic.

[2]
Markscheme

2 Unit AS 2: Applied Mathematics Questions

  1. A Level
  2. /Maths
  3. /2 Unit AS 2: Applied Mathematics

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