Theory of Machine
In under damped vibrating system, if x₁ and x₂ are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to

log(x₁.x₂)
log(x₁/x₂)
x₁/x₂
loge(x₁/x₂)

ANSWER DOWNLOAD EXAMIANS APP

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

ANSWER DOWNLOAD EXAMIANS APP

Theory of Machine
When a mass of a critically damped single degree of freedom system is deflected from its equilibrium position and released, then it will

Oscillate with increasing time period
Oscillate with decreasing amplitude
Return to equilibrium position without oscillation
Oscillate with constant amplitude

ANSWER DOWNLOAD EXAMIANS APP