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Theory of Machine

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

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

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Theory of Machine
Which of the following mechanism is obtained from lower pair?

Gyroscope
Pantograph
Valve and valve gears
All of these

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Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the anticlockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

(ω₁ - ω₂) 2r
(ω₁ + ω₂) r
(ω₁ - ω₂) r
ω₁.ω₂.r

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Theory of Machine
The total number of instantaneous centers for a mechanism consisting of n links are

n/2
n(n - 1)/2
n - 1
n

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Theory of Machine
Which of the following is a pendulum type governor?

Hartnell governor
Porter governor
Watt governor
None of these

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

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