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Theory of Machine

Theory of Machine
The equation of free vibrations of a system is (d²x/dt²) +36 π²x, its natural frequency is

6 Hz
6π Hz
3 Hz
3π Hz

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Theory of Machine
The indicator using Watt mechanism is known as

Thompson indicator
Simplex indicator
Richard indicator
Thomson indicator

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Theory of Machine
The purpose of a link is to

Guide other links
All of these
Act as a support
Transmit motion

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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

3.0 mm
2.50 mm
2.22 mm
2 mm

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Theory of Machine
If some links are connected such that motion between them can take place in more than one direction, it is called

Successfully constrained motion
Partially constrained motion
Completely constrained motion
Incompletely constrained motion

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Theory of Machine
The velocity of the belt for maximum power is (where m = Mass of the belt in kg per meter length)

(T.g)/3
T/3
√(T/3m)
√(3m/T)

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