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Theory of Machine

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

W cosecθ
W sinθ
W cosθ
W tanθ

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Theory of Machine
When the crank is at the inner dead center, in a reciprocating steam engine, then the acceleration of the piston will be

ω²r. (n + 1)/n
ω²r. n/(n + 1)
ω²r. (n - 1)/n
ω²r. n/(n - 1)

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Theory of Machine
If ‘D₁’ and ‘D₂’ be the diameters of driver and driven pulleys, then belt speed is proportional to

D₁.D₂
D₁/D₂
D₁
D₂/D₁

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Theory of Machine
The example of completely constrained motion is a

Motion of a square bar in a square hole
All of these
Motion of a shaft with collars at each end in a circular hole
Motion of a piston in the cylinder of a steam engine

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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
A Porter governor is a

Inertia governor
Pendulum type governor
Dead weight governor
Spring loaded governor

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