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Theory of Machine

Theory of Machine
The radial distance from the top of a tooth to the bottom of a tooth in a meshing gear, is called

Working depth
Addendum
Clearance
Dedendum

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Theory of Machine
The natural frequency of free transverse vibrations due to a point load acting over a simply supported shaft is equal to (where δ = Static deflection of a simply supported shaft due to the point load)

0.5615/√δ
0.571/√δ
0.6253/√δ
0.4985/√δ

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Theory of Machine
The working depth of a gear is the radial distance from the

Pitch circle to the top of a tooth
Addendum circle to the clearance circle
Top of a tooth to the bottom of a tooth
Pitch circle to the bottom of a tooth

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Theory of Machine
Relationship between the number of links (L) and number of pairs (P) is

P = 2L - 2
P = 2L - 4
P = 2L + 4
P = 2L + 2

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Theory of Machine
The absolute acceleration of any point ‘P’ in a link about center of rotation ‘O’ is

Perpendicular to PO
At 45° to PO
Along PO
None of the listed here

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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)
loge(x₁/x₂)
x₁/x₂
log(x₁.x₂)

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