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3 Mechanics

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Question 53

In this question you must show detailed reasoning.

A particle A A\,A of mass 4 kg lies on a horizontal surface. It is connected by a light inextensible string passing over a small smooth pulley to a hanging particle B B\,B of mass 3 kg. A constant frictional force of magnitude 5 N acts on AAA. The particles are released from rest with B B\,B at a height of 1.5 m above the floor. When B B\,B reaches the floor it stops and the string becomes slack. Use g=9.8 m s−2g=9.8\text{ m s}^{-2}g=9.8 m s−2.

Figure for question 8

a.

Determine the acceleration of the particles while the string is taut.

[3]
b.

Determine the tension in the string.

[2]
c.

Determine the speed of A A\,A when B B\,B reaches the floor.

[2]
d.

Assuming the frictional force remains 5 N, determine the total distance travelled by A A\,A before it first comes to rest.

[3]
Markscheme

3 Mechanics Questions

  1. A Level
  2. /Maths
  3. /3 Mechanics

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