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

π
One
Zero
π/2

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Theory of Machine
Length of arc of contact is given by

Arc of approach + Arc of recess
Arc of approach - Arc of recess
Arc of approach × Arc of recess
Arc of approach / Arc of recess

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Theory of Machine
In a gear having involute teeth, the normal to the involute is a tangent to the

Pitch circle
Dedendum circle
Addendum circle
Base circle

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Theory of Machine
The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m). (dx/dt) + (s/m). x = 0. If the roots of this equation are real, then the system will be

Under damped
Critically damped
Over-damped
Without vibrations

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Theory of Machine
The arrangement is called bevel gearing, when two __________ are connected by gears.

Parallel and non-coplanar shafts
Intersecting and coplanar shafts
Parallel and coplanar shafts
Non-intersecting and non-coplanar shafts

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