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Theory of Machine

Theory of Machine
The periodic time of one oscillation for a simple pendulum is

2π. √(g/l)
(1/2π). √(g/l)
2π. √(l/g)
(1/2π). √(l/g)

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Theory of Machine
Rectangular bar in a rectangular hole is the following type of pair

Incompletely constrained motion
Partially constrained motion
Completely constrained motion
Freely constrained motion

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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 the equation are __________ then the system will be under damped.

Real
Equal
None of these
Complex conjugate

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Theory of Machine
The maximum or minimum value of the swaying couple is

± c.m.ω².r
± (a/√2) (1 - c) m.ω².r
± a (1 - c) m.ω².r
± 2a (1 - c) m.ω².r

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Theory of Machine
Longitudinal vibrations are said to occur when the particles of a body moves

Parallel to its axis
In a circle about its axis
None of these
Perpendicular to its axis

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Theory of Machine
When the crank is at the inner dead centre, in a reciprocating steam engine, then the velocity of the piston will be

None of these
Maximum
Zero
Minimum

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