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

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

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

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Theory of Machine
A typewriter mechanism has 7 numbers of binary joints, six links and none of higher pairs. The mechanism is

Data is not sufficient to determine same
Kinematically sound
Soundness would depend upon which link is kept fixed
Not sound

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

0°
180°
270°
90°

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Theory of Machine
A reed type tachometer use the principle of

Damped free vibration
Longitudinal vibration
Transverse vibration
Torsional vibration

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Theory of Machine
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)

[(r + R) cosφ]/2
[(r + R) sinφ]/2
[(r² + R²) cosφ]/2
[(r² + R²) sinφ]/2

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