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2 Unit 2: Applied Mathematics A

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Question 87

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

A particle P P\,P of mass 2m kg lies on a smooth horizontal table.

P P\,P is attached to one end of a light inextensible string. The string passes over a smooth pulley fixed at the edge of the table, and a particle Q Q\,Q of mass m m\,m kg hangs freely at the other end of the string.

The string between P P\,P and the pulley is horizontal, and the string between the pulley and Q Q\,Q is vertical.

A constant horizontal force of magnitude 19 N acts on P P\,P away from the pulley.

The system is released from rest with the string taut, as shown in the diagram below.

Figure for question 5

The system moves with acceleration 2 m s−2^{-2}−2, with Q Q\,Q moving downwards.

a.

Find the value of mmm.

[4]
b.

Find the tension in the string.

[1]
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2 Unit 2: Applied Mathematics A Questions

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

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