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?

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

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Applied Mechanics and Graphic Statics
If a set of given forces are such that their free vectors build a closed polygon, then

The resultant force and resultant couple are always zero
The resultant force and resultant couple both may not be zero
The resultant force is zero but resultant couple is not zero
The resultant force is zero but resultant couple may not be zero

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