A uniform solid cylinder of mass M=2 kg and radius R=0.49 m is given an initial angular speed ω=15 rad/s when it is at the bottom of an inclined plane of height h=4.1 m, as shown in the figure. The cylinder rolls without slipping. Find ω if the cylinder comes to rest at the top of the inclined plane. (Take g=9.81 m/s2, Icylinder=1/2MR2 ).

4. Consider again the situation given in Problem 1. (a) Find the center-of-mass of the system made up of m, and m,, taking the origin to be at P. (b) Draw a free body force diagram with the all of the mass (m, + m,) concentrated at this center-of-mass position. (c) Find the torque about P due to (m, + m2) concentrated at this center of mass position. How does this result compare to (d) in Problem 1? [We will make use of this technique often for certain types of future problems.]

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I need help solving parts (c) and (d)