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Theory of Machine

Theory of Machine
A mechanism _________ for transmitting or transforming motion.

Can be used
Can not be used
None of these
Unpredictable

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

(kG² + h²)/h²
h/(kG² + h²)
h²/(kG² + h²)
(kG² + h²)/h

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Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

2 mm
2.50 mm
2.22 mm
3.0 mm

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Theory of Machine
If the damping factor for a vibrating system is unity, then the system will be

Critically damped
Under damped
Without vibrations
Over damped

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Theory of Machine
The Kutzbach criterion for determining the number of degrees of freedom (n) is (where l = number of links, j = number of joints and h = number of higher pairs)

n = 3(l - 1) - 3j - h
n = 2(l - 1) - 3j - h
n = 2(l - 1) - 2j - h
n = 3(l - 1) - 2j - h

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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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