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PhyIsOhSoHard
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Homework Statement
A solid cylinder is dragged over a surface by a constant force F that has an angle θ with horizontal. It rolls without friction around its symmetrical axis. The mass is M and radius is R and moment of inertia is [itex]I=\frac{1}{2}MR^2[/itex]
The cylinder rolls on the surface without gliding.
Use Newton's 2nd law for the center of mass and the rotation equation to find the friction force.
Homework Equations
Center of mass:
[itex]\sum F_z=Ma_{CM}[/itex]
Rotation equation:
[itex]\sum \tau_z=I_{CM}\alpha_z[/itex]
The Attempt at a Solution
FBD:
Is this FBD correct?
I'm not sure what forces I have here because both the F force and normal force have a line of action through the center so they have no torque. What did I draw wrong?