Cylinder+String Rolling w/o slipping

  • Thread starter Imuell1
  • Start date
  • #1
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Homework Statement


A uniform cylinder of mass M and radius R has a string wrapped around it. The string is held fixed, and the cylinder falls vertically. (a) Show that the acceleration of the cylinder is downward with a magnitude a=2g/3. (b) Find the tension in the string.



Homework Equations


I=1/2MR2


The Attempt at a Solution


Not sure how to start, does it involve the conservation of mechanical energy?
 

Answers and Replies

  • #2
Try Newton's methods.

Draw a freebody diagram for the cylinder, include all the forces acting on it and use newton's second law, along with torque = Ialpha, to solve for your unknowns
 

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