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Theory of Machine

Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

cosφ
sinφ
secφ
cosecφ

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Theory of Machine
The maximum or minimum value of the swaying couple is

± (a/√2) (1 - c) m.ω².r
± a (1 - c) m.ω².r
± c.m.ω².r
± 2a (1 - c) m.ω².r

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Theory of Machine
Which of the following is an open pair?

Ball and socket joint
Cam and follower
Lead screw and nut
Journal bearing

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Theory of Machine
When the relation between the controlling force (Fc) and radius of rotation (r) for a spring controlled governor is Fc = ar + b, then the governor will be

Isochronous
Stable
None of these
Unstable

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Theory of Machine
A Hartnell governor has its controlling force (Fc) given by Fc = ar + b, where r is the radius of rotation and a and b are constants. The governor becomes isochronous when

a is +ve and b is also +ve
a = 0 and b is +ve
a is +ve and b = 0
a is +ve and b is -ve

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Theory of Machine
The direction of linear velocity of any point on a link with respect to another point on the same link is

None of the listed here
Perpendicular to the link joining the points
At 45° to the link joining the points
Parallel to the link joining the points

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