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2 Unit AS 2: Applied Mathematics

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Question 57

In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.

Two particles PPP, of mass 6 kg, and QQQ, of mass 2 kg, are connected by a light inextensible string which passes over a smooth pulley fixed at the top of a wedge.

One face of the wedge is smooth and inclined at 30° 30°\,30° to the horizontal; the other face is rough and inclined at 45° 45°\,45° to the horizontal. P P\,P lies on the smooth face and Q Q\,Q lies on the rough face, with the string taut and parallel to a line of greatest slope of each face.

Figure for question 4

The coefficient of friction between Q Q\,Q and the rough face is 0.3.

a.

Find the tension in the string.

[5]
b.

Find the acceleration of the system, and state the direction in which P P\,P moves.

[2]
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2 Unit AS 2: Applied Mathematics Questions

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

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