Theory of Machine
The frequency of oscillation of a torsional pendulum is

2πr/k. √(g/l)
2πk/r. √(g/l)
r/2πk. √(l/g)
r/2πk. √(g/l)

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Theory of Machine
A body is said to be under forced vibrations, when

None of these
No external force acts on a body, after giving it an initial displacement
There is a reduction in amplitude after every cycle of vibration
A body vibrates under the influence of external force

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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
Lower pairs are those which have

Elements of pairs not held together mechanically
Surface contact between the two elements when in motion
Point or line contact between the two elements when in motion
Two elements that permit relative motion

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