Applied Mechanics and Graphic Statics
‘u₁’ and ‘u₂’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘v₁’ and ‘v₂’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by

e = v₁ - v₂/u₂ + u₁
e = v₂ - v₁/u₁ - u₂
e = u₂ - u₁/v₁ - v₂
e = v₁ - v₂/u₂ - u₁

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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?

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

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