Theory of Machine
In a circular arc cam with roller follower, the acceleration in any position of the lift will depend only upon

Radius of circular arc, cam speed, location of centre of circular arc and roller diameter
Total lift, total angle of lift, minimum radius of cam and cam speed
Total lift, centre of gravity of the cam and cam speed
Mass of cam follower linkage, spring stiffness and cam speed

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Theory of Machine
The maximum fluctuation of energy is the

Sum of the maximum and minimum energies
Difference between the maximum and minimum energies
Ratio of the mean resisting torque to the work-done per cycle
Variations of energy above and below the mean resisting torque line

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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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Theory of Machine
Two heavy rotating masses are connected by shafts of lengths l₁, l₂ and l₃ and the corresponding diameters are d₁, d₂ and d₃. This system is reduced to a torsionally equivalent system having uniform diameter d = d₁ of the shaft. The equivalent length of the shaft is

l = l₁ + l₂.(d₁/d₂)³ + l₂.(d₁/d₃)³
l₁ + l₂ + l₃
l = l₁ + l₂.(d₁/d₂)⁴ + l₃.(d₁/d₃)⁴
(l₁ + l₂ + l₃)/3

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