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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
6 Hz
3 Hz
6π Hz

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Theory of Machine
When a point at the end of a link moves with constant angular velocity, its acceleration will have

Coriolis component only
Radial and tangential components both
Tangential component only
Radial component only

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Theory of Machine
Which one of the following can completely balance several masses revolving in different planes on a shaft?

A single mass in one of the planes of the revolving masses
Two masses in any two planes
A single mass in different planes
Two equal masses in any two planes

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Theory of Machine
Angular acceleration of a link can be determined by dividing the

Tangential component of acceleration with length of link
Resultant acceleration with length of link
Centripetal component of acceleration with length of link
All of these

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Theory of Machine
When the relation between the controlling force (Fc) and radius of rotation (r) for a spring controlled governor is Fc = ar + b, then the governor will be

Unstable
Stable
Isochronous
None of these

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Theory of Machine
The C.G. of a link in any mechanism would experience

Linear acceleration
Angular acceleration
No acceleration
Both angular and linear accelerations

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