Theory of Machine
Which one of the following is an exact straight line mechanism using lower pairs?

Robert’s mechanism
Peaucellier’s mechanism
Watt’s mechanism
Grasshopper mechanism

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Theory of Machine
A rigid body, under the action of external forces, can be replaced by two masses placed at a fixed distance apart. The two masses form an equivalent dynamical system, if

The center of gravity of the two masses coincides with that of the body
The sum of mass moment of inertia of the masses about their center of gravity is equal to the mass moment of inertia of the body
All of these
The sum of the two masses is equal to the total mass of body

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

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