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Theory of Machine

Theory of Machine
The relation between number of pairs (p) forming a kinematic chain and the number of links (l) is

l = 2p - 2
l = 2p - 3
l = 2p - 4
l = 2p - 5

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Theory of Machine
The velocity of any point in mechanism relative to any other point on the mechanism on velocity polygon is represented by the line

Perpendicular to line as per (A)
At 45° to line as per (A)
Joining the corresponding points
Not possible to determine with these data

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Theory of Machine
There are six gears A, B, C, D, E and F in a compound train. The numbers of teeth in the gears are 20, 60, 30, 80, 25 and 75 respectively. The ratio of angular speeds of the driven (F) to the driver (A) of the drive is

1/24
12
4/15
1/8

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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

Under damped
Without vibrations
Critically damped
Over-damped

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Theory of Machine
Coriolis component acts

Along sliding surfaces
Somewhere in between above two
Perpendicular to sliding surfaces
None of these

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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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