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

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Theory of Machine
In a Hartnell governor, the compression of the spring is __________ the lift of the sleeve.

None of these
Equal to
Less than
Greater than

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

Slightly more than 45 mm
Slightly less than 45 mm
95 mm
45 mm

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Theory of Machine
The rotor of a ship rotates in clockwise direction when viewed from stern and the ship takes a left turn. The effect of gyroscopic couple acting on it will be

To lower the bow and stern
To raise the bow and stern
To raise the bow and lower the stern
To raise the stern and lower the bow

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Theory of Machine
The component of the acceleration, perpendicular to the velocity of the particle, at the given instant is called

Radial component
Coriolis component
None of these
Tangential component

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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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