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Theory of Machine

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

ω × 2π
2π/ω
π/ω
ω/2π

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Theory of Machine
The acceleration of the particle moving with simple harmonic motion is _________ at the mean position.

Minimum
None of these
Zero
Maximum

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Theory of Machine
An imaginary circle which by pure rolling action, gives the same motion as the actual gear, is called

Clearance circle
Pitch circle
Addendum circle
Dedendum circle

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Theory of Machine
A disturbing mass m₁ attached to the rotating shaft may be balanced by a single mass m₂ attached in the same plane of rotation as that of m₁, such that (where r₁ and r₂ are the radii of rotation of m₁ and m₂ respectively)

None of these
m₁ r₂ = m₂ r₁
m₁ r₁ = m₂ r₂
m₁ m₂ = r₁ r₂

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Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω sinθ/(n² - cos²θ)1/2
ω sinθ/(n² - sin²θ)1/2
ω cosθ/(n² - cos²θ)1/2
ω cosθ/(n² - sin²θ)1/2

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Theory of Machine
The Bifilar suspension method is used to determine

Natural frequency of vibration
Position of balancing weights
Centripetal acceleration
Moment of inertia

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