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Theory of Machine

Theory of Machine
If ω/ωn is very high for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach

0°
90°
360°
180°

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Theory of Machine
The driving and driven shafts connected by a Hooke's joint will have equal speeds, if

cotθ = cosα
cosθ = sinα
tanθ = ± cosα
sinθ = ± tanα

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Theory of Machine
Elements of pairs held together mechanically is known as

Closed pair
Open pair
Rolling pair
Mechanical pair

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Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

1/2π × √(g/δ)
0.4985/√δ
1/2π × √(s/m)
Any one of the listed here

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Theory of Machine
If the radius of gyration of a compound pendulum about an axis through e.g. is more, then its frequency of oscillation will be

Data are insufficient to determine same
Less
Same
More

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Theory of Machine
The factional torque for square thread at the mean radius r while raising load W is given by

T = W.r tan(φ - α)
T = W.r tan(φ + α)
T = W.r tanφ
T = W.r tanα

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