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Theory of Machine

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

L + 2
L
L + 1
L - 1

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Theory of Machine
The periodic time is given by (where ω = Angular velocity of the particle in rad/s)

ω × 2π
ω/2π
2π/ω
π/ω

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Theory of Machine
Whirling speed of the shaft is the speed at which

Torsional vibrations occur
Combination of transverse and longitudinal vibration occurs
Shaft tends to vibrate vigorously in transverse direction
Shaft tends to vibrate in longitudinal direction

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Theory of Machine
A slider moves at a velocity v on a link revolving at ω rad/s. The coriolis component of acceleration is

ω²v
2ωv²
ωv
2ωv

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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 clockwise 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
In a disc clutch, if there are n₁ number of discs on the driving shaft and n₂ number of discs on the driven shaft, then the number of pairs of contact surfaces will be

n₁ + n₂
n₁ + n₂ + 1
n₁ + n₂ - 1
n₁ + n₂ - 2

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