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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

3π Hz
6π Hz
3 Hz
6 Hz

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Theory of Machine
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)

[(r² + R²) sinφ]/2
[(r + R) cosφ]/2
[(r + R) sinφ]/2
[(r² + R²) cosφ]/2

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Theory of Machine
For S.H.M. cam, the acceleration of the follower at the ends of the stroke and aimed stroke respectively, is

Zero and minimum
Zero and maximum
Maximum and zero
Minimum and maximum

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Theory of Machine
In a system subjected to damped forced vibrations, the ratio of maximum displacement to the static deflection is known as

Magnification factor
Logarithmic decrement
Critical damping ratio
Damping factor

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Theory of Machine
The values of velocity and acceleration of piston at near dead center for a slider-crank mechanism will be

0, and less than coV
cor, 0
0, and more than co2r
0, 0

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

Can be used
Unpredictable
Can not be used
None of these

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