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Theory of Machine

Theory of Machine
When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to

Zero
π/2
One
π

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Theory of Machine
The velocity of sliding of meshing gear teeth is (Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁ × ω₂) y
(ω₁/ω₂) y
(ω₁ + ω₂) y
(ω₁ + ω₂)/y

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Theory of Machine
A body of weight W is required to move up the rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by (where μ = tan φ = Coefficient of friction between the plane and the body)

P = W (sin α + μ cos α)
P = W tan α
P = W tan (α + φ)
P = W (cos α + μ sin α)

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Theory of Machine
In vibration isolation system, the transmissibility will be equal to unity, for all values of damping factor, if ω/ωn is

Equal to 1
Greater than 2
Less than 2
Equal to 2

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The distance between fixed pivots of crank and followers is

Slightly less than 95 mm
45 mm
Slightly more than 95 mm
95 mm

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Theory of Machine
The critical speed of a shaft with a disc supported in between is equal to the natural frequency of the system in

Longitudinal vibrations
Torsional vibrations
Transverse vibrations
All of these

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