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Theory of Machine

Theory of Machine
In S.H.M., the velocity vector w.r.t. displacement vector

Leads by 180°
Are in phase
Leads by 90°
Lags by 90°

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Theory of Machine
If the damping factor for a vibrating system is unity, then the system will be

Over damped
Under damped
Without vibrations
Critically damped

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Theory of Machine
The two parallel and coplanar shafts are connected by gears having teeth parallel to the axis of the shaft. This arrangement is known as

Spiral gearing
Bevel gearing
Helical gearing
Spur gearing

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Theory of Machine
In a Hartnell governor, the stiffness of the spring is given by (where S1 and S2 = Spring forces exerted on the sleeve at max. and min. radii of rotation, and h = Compression of the spring)

(S₁ + S₂) / 2h
(S₁ - S₂) / 2h
(S₁ - S₂) / h
(S₁ + S₂) / h

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Theory of Machine
In higher pair, the relative motion is

Purely turning
Purely sliding
Purely rotary
Combination of sliding and turning

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Theory of Machine
A spring controlled governor is said to be unstable when the controlling force

Increases as the radius of rotation decreases
Decreases as the radius of rotation increases
Remains constant for all radii of rotation
Increases as the radius of rotation increases

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