Dynamics question - 2

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Homework Statement


http://s287.photobucket.com/albums/ll123/amalnathm/th_untitled.jpg

A uniform solid cylinder of mass m rests on two horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force F. Find the maximum magnitude of force which does not bring about any sliding of the cylinder, if the coefficient of friction between the cylinder and the planks equal k. Which is the acceleration of the axis of the cylinder rolling down the inclined plane.

Homework Equations




The Attempt at a Solution


Direction of forces is giving me the headache again.

Force equation
F + mg - 2f = ma

Torque equation
(F - 2f) X R = [tex]I \alpha[/tex]
f = k. (mg+F)
F - 2k (mg+F) = M a r / 2
F(1 - 2k) = 2kmg + M a r/2
F = (2kmg + m a r/2) / (1-2k)
 
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Answers and Replies

  • #2
133
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I need a bit of help with this please..
 
  • #3
133
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BUMP!! Just keeping it on the top.
 

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