Applied Mechanics and Graphic Statics
A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

Both reach the bottom simultaneously with equal rotational energy at bottom
Sphere with greater rotational energy at bottom than cylinder
Cylinder with greater rotational energy at bottom than sphere
Sphere with lesser rotational energy at bottom than cylinder

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Applied Mechanics and Graphic Statics
The following is in unstable equilibrium

A uniform solid cone resting on a generator on a smooth horizontal plane
A solid cube resting on one edge
A satellite encircling the earth
A uniform solid cone resting on its base on a horizontal plane

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