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Theory of Machine

Theory of Machine
Minimum number of teeth for involute rack and pinion arrangement for pressure angle of 20° is

34
10
30
20

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Theory of Machine
The Coriolis component of acceleration acts

Perpendicular to the sliding surface
At 45° to the sliding surface
Parallel to the sliding surface
Along the sliding surface

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Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the anticlockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

ω₁.ω₂.r
(ω₁ - ω₂) r
(ω₁ - ω₂) 2r
(ω₁ + ω₂) r

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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

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

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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)

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

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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 mm
3.0 mm
2.22 mm
2.50 mm

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