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Theory of Machine

Theory of Machine
The periodic time of one oscillation for a simple pendulum is

(1/2π). √(l/g)
2π. √(g/l)
2π. √(l/g)
(1/2π). √(g/l)

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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

2.22 mm
2.50 mm
3.0 mm
2 mm

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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) 2r
ω₁.ω₂.r
(ω₁ + ω₂) r
(ω₁ - ω₂) r

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Theory of Machine
When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to

π
π/2
Zero
One

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Theory of Machine
If there are L number of links in a mechanism, then number of possible inversions is equal to

L + 1
L + 2
L
L - 1

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

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