A uniform rod of length $4x$ is rotating about the edge $O$ of the table. (The rod does not fall off the table.) The centre of mass $G$ of the rod is distance $x$ away from $O$. The rod is making an angle $\theta$ with the horizontal.
The only forces present are the weight $W$ of the rod, the normal reaction $N$ of the table on the rod and the frictional force $S$ that prevents the rod from slipping off the table as it rotates. Let the Radial direction point from O to G, and the Transverse direction be anticlockwise.
I apologise for not including a diagram but it should be very quick to sketch.
I would like to set up equation(s) of motion for the scenario above.
Would it be appropriate to approach this problem using Newton's 2nd Law and then resolving the equation into radial and transverse components? If so, am I suppposed to be considering the motion of a point on the rod, or the motion of the rod as a whole body?
Would it be appropriate to approach this problem by taking torques (say, about $O$), i.e. using $\tau=I \alpha$, where $\tau$ is the total external torque on the rigid rod?