Theory of Machine
The instantaneous center of a rigid thin disc rolling on a plane rigid surface is located at

The point of contact
An infinite distance on the plane surface
The point on the circumference situated vertically opposite to the contact point
The center of the disc

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Theory of Machine
The Klein's method of construction for reciprocating engine mechanism

Enables determination of Cariole’s component
Is based on acceleration diagram
Is a simplified form of instantaneous center method
Utilizes a quadrilateral similar to the diagram of mechanism for reciprocating engine

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Theory of Machine
In a band and block brake, the ratio of tensions on tight side and slack side of the band is (where μ = Coefficient of friction between the blocks and the drum, θ = Semi-angle of each block subtending at the center of drum, and n = Number of blocks)

T₁/T₂ = μ. θ. n
T₁/T₂ = [(1 + μ tanθ)/(1 - μ tanθ)]n
T₁/T₂ = [(1 - μ tanθ)/(1 + μ tanθ)]n
T₁/T₂ = (μ θ)n

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