Applied Mechanics and Graphic Statics
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

0.12569444444444
0.084027777777778
0.043055555555556
0.042361111111111

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

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