Applied Mechanics and Graphic Statics
If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

T = g(M2 - M1)/(M1 + M2)
T = g(M1 + M2)/(M1 × M2)
T = g(M2 + M1)/(M2 - M1)
T = g(M1 - M2)/(M1 + M2)

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

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Applied Mechanics and Graphic Statics
The characteristic of a couple is:

A couple can be never the balanced by a single force
Algebraic sum of forces, constituting a couple is zero
Algebraic sum of moments of forces, constituting a couple, about any point, is same
All listed here

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