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Theory of Machine

Theory of Machine
In S.H.M., the velocity vector w.r.t. displacement vector

Are in phase
Leads by 90°
Lags by 90°
Leads by 180°

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Theory of Machine
When the radius of rotation of balls __________ as the equilibrium speed increases, the governor is said to be unstable.

None of these
Increases
Remains constant
Decreases

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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
D₁.D₂
D₂/D₁

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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 clockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

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

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Theory of Machine
Klein's construction gives a graphic construction for

Four bar chain mechanism
Slider-crank mechanism
Velocity polygon
Acceleration polygon

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Theory of Machine
The factional torque for square thread at the mean radius r while raising load W is given by

T = W.r tan(φ + α)
T = W.r tanα
T = W.r tanφ
T = W.r tan(φ - α)

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