Friction

In the diagram, object A A weighing 6 kg 6 \text{ kg} is on a frictionless desk. Object B B weighing 3 kg 3 \text{ kg} is sits atop A , A, moving together with it due to friction. Object C C weighing 1 kg 1 \text{ kg} is connected with object B B by a pulley.

Which of the following statements is correct?

a ) a) The magnitude of the force with which the string is pulling object C C is 9 9 N.
b ) b) The direction of the friction force upon object B B is the same as the direction of motion of object A . A.
c ) c) The magnitude of the friction force upon object B B is 6 6 N.

Gravitational acceleration is g = 10 m/s 2 . g= 10 \text{ m/s}^2.

a, b a, b, c a, c b, c

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1 solution

Arqum Anwar
May 9, 2014

Considering A and B as a single mass of 9 kg we can form two equations in a(acceleration) and T (tension in string). These would be 10-T=a and T=9a which gives T=9 N so first statement is correct. For the second statement we should consider the fact that the rope is pulling object B and not A therefore friction must be towards the left which is opposite in direction to A's motion which is moving towards right with a=1 ms^-2. For the third statement we have to consider only object B and the forces acting on it which are the pull from the rope and the frictional force. The net force produces the acceleration of 1 ms^-2 towards right so the equation would be 9-f=3a where f is the frictional force. This gives f=6. Hence a and c are right. Cheers.

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