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

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Theory of Machine
The locus of a point on a thread unwound from a cylinder will be

Involute
Cycloidal
A circle
A straight line

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Theory of Machine
The length of a simple pendulum which gives the same frequency as the compound pendulum, is

(kG + l₁²)/ l₁
kG² + l₁
kG + l₁
(kG² + l₁²)/ l₁

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Theory of Machine
At the nodal point in a shaft, the amplitude for torsional vibration will be

Maximum
Infinity
Zero
Minimum

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Theory of Machine
In a gear having involute teeth, the normal to the involute is a tangent to the

Addendum circle
Pitch circle
Base circle
Dedendum circle

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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)r
(ω₁ - ω₂)2r

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