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Theory of Machine

Theory of Machine
A cam mechanism imparts following motion

Rotating
Reciprocating
Oscillating
All of these

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Theory of Machine
In gramophones for adjusting the speed of the turntable, the following type of governor is commonly employed

Hartung governor
Pickering governor
Wilson Hartnell governor
Inertia governor

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Theory of Machine
The essential condition of placing the two masses, so that the system becomes dynamically equivalent, is (where l₁ and l₂ = Distance of two masses from the centre of gravity of the body, and kG = Radius of gyration of the body)

l₁l₂ = kG
l₁ = kG
l₁l₂ = kG²
l₂ = kG

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Theory of Machine
The tractive force is maximum or minimum when the angle of inclination of crank with the line of stroke (θ) is equal to

0° and 90°
90° and 180°
135° and 315°
270° and 360°

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Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

2.50 mm
3.0 mm
2 mm
2.22 mm

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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)

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

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