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Theory of Machine

Theory of Machine
The total number of instantaneous centers for a mechanism consisting of n links are

n(n - 1)/2
n/2
n - 1
n

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Theory of Machine
The balancing of a rigid rotor can be achieved by appropriately placing balancing masses in

Three planes
A single plane
Four planes
Two planes

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Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω² √(r² - x²)
ω √(x² - r²)
ω √(r² - x²)
ω² √(x² - r²)

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Theory of Machine
In under damped vibrating system, if x₁ and x₂ are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to

x₁/x₂
log(x₁/x₂)
log(x₁.x₂)
loge(x₁/x₂)

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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
The two elements of a pair are said to form a _________ when they permit relative motion between them.

Sliding pair
Kinematic pair
Open pair
None of these

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