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Theory of Machine

Theory of Machine
In vibration isolation system, if ω/ωn > 1, then the phase difference between the transmitted force and the disturbing force is

180°
0°
90°
270°

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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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Theory of Machine
A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotor separately, are 100 Hz and 200 Hz respectively. The lowest critical speed is

9,360 r.p.m.
6,000 r.p.m.
5,367 r.p.m.
12,000 r.p.m.

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Theory of Machine
The partial balancing means

All of these
Balancing partially reciprocating masses
Balancing partially revolving masses
Best balancing of engines

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Theory of Machine
The Grubler's criterion for determining the degrees of freedom (n) of a mechanism having plane motion is (where l = Number of links, and j = Number of binary joints)

n = (l -1) - j
n = 3(l - 1) - 2j
n = 4(l - 1) - 3j
n = 2(l - 1) - 2j

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Theory of Machine
The Coriolis component of acceleration exists whenever a point moves along a path that has

Rotational motion
Linear displacement
Gravitational acceleration
Tangential acceleration

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