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Theory of Machine

Theory of Machine
A point on a link connecting double slider crank chain traces a

Ellipse
Parabola
Hyperbola
Circle

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Theory of Machine
The component of the acceleration, parallel to the velocity of the particle, at the given instant is called

Tangential component
None of these
Radial component
Coriolis component

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Theory of Machine
The velocity of sliding of meshing gear teeth is (Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁ + ω₂)/y
(ω₁ + ω₂) y
(ω₁/ω₂) y
(ω₁ × ω₂) y

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

ω² r {n/(n + 1)}
ω² r {(n - 1)/n}
ω² r {(n + 1)/n}
ω² r {n/(n - 1)}

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Theory of Machine
A single degree of freedom system is given by, m × (d²x/dt²) + c × (dx/dt) + sx = F.cosω.t with usual notations. It represents

Free vibration with damping
Forced vibration without damping
Forced vibration with damping
Free vibration without damping

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Theory of Machine
In an ideal machine, the output as compared to input is

May be less or more depending on efficiency
Equal
Less
More

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