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Theory of Machine

Theory of Machine
A shaft carrying two rotors at its ends will have

One node
Two nodes
No node
Three nodes

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Theory of Machine
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)

[(r + R) sinφ]/2
[(r + R) cosφ]/2
[(r² + R²) cosφ]/2
[(r² + R²) sinφ]/2

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Theory of Machine
Frequency of vibrations is usually expressed in

Number of cycles per second
Number of cycles per minute
None of these
Number of cycles per hour

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Theory of Machine
A mass of 1 kg is attached to the end of a spring with a stiffness of 0.7 N/mm. The critical damping coefficient of this system is

52.92 N-s/m
529.2 N-s/m
18.52 N-s/m
1.4 N-s/m

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Theory of Machine
The retardation of a flat faced follower when it has contact at the apex of the nose of a circular arc cam, is given by (where OQ = Distance between the centre of circular flank and centre of nose)

ω² × OQ
ω² × OQ tanθ
ω² × OQ sinθ
ω² × OQ cosθ

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Theory of Machine
The length of a simple pendulum which gives the same frequency as the compound pendulum, is

kG² + l₁
(kG + l₁²)/ l₁
kG + l₁
(kG² + l₁²)/ l₁

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