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Theory of Machine

Theory of Machine
The Hooke's joint consists of:

Two forks
One fork
Three forks
Four forks

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Theory of Machine
Which one of the following is an exact straight line mechanism using lower pairs?

Robert’s mechanism
Watt’s mechanism
Grasshopper mechanism
Peaucellier’s mechanism

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Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

2π. √(q/I)
1/2π
2π qI
(1/2π). √(q/I)

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

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Theory of Machine
In a rigid link OA, velocity of 'A' w.r.t. 'O' will be

At 45° to OA
Along AO
Perpendicular to OA
Parallel to OA

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Theory of Machine
The swaying couple is maximum or minimum when the angle of inclination of the crank to the line of stroke (θ) is equal to

45° and 225°
90° and 180°
270° and 360°
180° and 270°

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