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Theory of Machine

Theory of Machine
In S.H.M., the velocity vector w.r.t. displacement vector

Are in phase
Lags by 90°
Leads by 90°
Leads by 180°

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Theory of Machine
The periodic time is given by (where ω = Angular velocity of the particle in rad/s)

ω/2π
π/ω
2π/ω
ω × 2π

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Theory of Machine
In steady state forced vibrations, the amplitude of vibrations at resonance is __________ damping coefficient.

Independent of
Equal to
Inversely proportional to
Directly proportional to

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Theory of Machine
The minimum periodic time of a compound pendulum is

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

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Theory of Machine
The centre of gravity of a coupler link in a four bar mechanism will experience

Both linear and angular acceleration
No acceleration
Only angular acceleration
Only linear acceleration

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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

Without vibrations
Over-damped
Under damped
Critically damped

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