Determine the smallest coefficient of friction

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SUMMARY

The discussion focuses on determining the smallest coefficient of static friction required for a homogeneous cylinder to start rolling up a 30° incline when subjected to a horizontal force P. The key factors include the weight W of the cylinder and its radius R. Participants emphasize the importance of correctly identifying the free body diagram (FBD) to analyze the forces acting on the cylinder, particularly the normal force and frictional force, which must be aligned with the incline's angle.

PREREQUISITES
  • Understanding of static friction and its role in motion.
  • Knowledge of free body diagrams (FBD) and force analysis.
  • Familiarity with basic physics concepts such as weight, normal force, and incline angles.
  • Ability to apply Newton's laws of motion to rotational dynamics.
NEXT STEPS
  • Study the principles of static friction in detail, focusing on coefficient calculations.
  • Learn how to construct and analyze free body diagrams for various scenarios.
  • Explore the dynamics of rolling motion, particularly for cylinders on inclined planes.
  • Investigate the effects of different incline angles on the required coefficient of friction.
USEFUL FOR

Students studying physics, particularly those focused on mechanics, as well as educators and tutors looking to enhance their understanding of friction and motion on inclines.

blackandyello
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Homework Statement


The horizontal force P acts on the rim of the homogeneous cylinder of radius R and weight W. Determine the smallest coefficient of static friction that enables the cylinder to start rolling up the 30◦ incline.


Homework Equations



*depends on the fbd. refer below

The Attempt at a Solution



since its being ask for the coefficient of friction, which FBD would be correct? should it be a vertical normal force with friction force going on left, or should it be the normal force facing perpendicularly the 30 degree include while the friction is along the 30 degree line also. which is the proper fbd? tnx
 
Physics news on Phys.org
Friction acts tangentially to the radius of a cylinder, and the force of friction is proportional to the normal force on a surface.
 

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