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Theory of Machine

Theory of Machine
In full depth involute system, the smallest number of teeth in a pinion which meshes with rack without interference is

32
16
25
12

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Theory of Machine
The minimum force required to slide a body of weight W on a rough horizontal plane is

W tanθ
W sinθ
W cosecθ
W cosθ

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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) r
(ω₁ - ω₂) r
(ω₁ - ω₂) 2r
ω₁.ω₂.r

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Theory of Machine
Critical damping is a function of

Mass and natural frequency
Mass and stiffness
Mass and damping coefficient
Damping coefficient and natural frequency

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Theory of Machine
Length of arc of contact is given by

Arc of approach - Arc of recess
Arc of approach / Arc of recess
Arc of approach + Arc of recess
Arc of approach × Arc of recess

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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

None of these
Stable
Unstable
Isochronous

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