Figure 3 shows a frictionless system of a thin rod on a ramp whose surface has...

 

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Figure 3 shows a frictionless system of a thin rod on a ramp whose surface has an angle a with the horizontal. The rod can turn around a fixed point P. 1x Side view Top view Figure 3. A rod with mass M and length I can turn around a fixed point P on a ramp. The rod slides without friction, as it is supported on the other end by a massless tip. The moment of inertia of a thin rod about an axis perpendicular to the rod through its centre of mass is Icm ML2/12 a) Express the potential energy of the rod as a function of the angle 0. b) Derive the kinetic energy of the rod in Figure 3. Figure 3 shows a frictionless system of a thin rod on a ramp whose surface has an angle a with the horizontal. The rod can turn around a fixed point P. 1x Side view Top view Figure 3. A rod with mass M and length I can turn around a fixed point P on a ramp. The rod slides without friction, as it is supported on the other end by a massless tip. The moment of inertia of a thin rod about an axis perpendicular to the rod through its centre of mass is Icm ML2/12 a) Express the potential energy of the rod as a function of the angle 0. b) Derive the kinetic energy of the rod in Figure 3.