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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

6π Hz
3π Hz
3 Hz
6 Hz

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Theory of Machine
The lower pair is a

Closed pair
Sliding pair
Open pair
Point contact pair

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Theory of Machine
The motion of a shaft in a circular hole is an example of

Completely constrained motion
Incompletely constrained motion
Successfully constrained motion
None of these

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Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

I₂/G
I₂/G²
G.I₂
G².I₂

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Theory of Machine
In a shaper mechanism, the Coriolis component of acceleration will

Exist
Depend on position of crank
Not exist
None of these

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Theory of Machine
The frictional torque transmitted in a flat pivot bearing, considering uniform wear, is (where μ = Coefficient of friction, W = Load over the bearing, and R = Radius of bearing surface)

(1/2) μ W R
(2/3) μ W R
(3/4) μ W R
μ W R

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