Applied Mechanics and Graphic Statics
A point subjected to a number of forces will be in equilibrium, if

Algebraic sum of the moments of the forces about the point is zero
Algebraic sum of the forces is zero
Two resolved parts in any two directions at right angles are equal
Sum of resolved parts in any two directions at right angles, are both zero

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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 lesser rotational energy at bottom than cylinder
Cylinder with greater rotational energy at bottom than sphere
Sphere with greater rotational energy at bottom than cylinder

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