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Theory of Machine

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

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

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Theory of Machine
The danger of breakage and vibration is maximum

None of these
Near the critical speed
Below the critical speed
Above the critical speed

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Theory of Machine
The Klein's diagram is useful to find

Acceleration of various parts
Displacement of various parts
Velocity of various parts
Angular acceleration of various parts

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Theory of Machine
Efficiency of a screw jack is given by

tan (α - φ)/tanα
tan (α + φ)/tanα
tanα/tan (α +φ)
tanα/tan (α - φ)

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Theory of Machine
In a drag link quick return mechanism, the shortest link is always fixed. The sum of the shortest and longest link is

Greater than sum of other two
There is no such relationship
Less than sum of other two
Equal to sum of other two

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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) r
(ω₁ - ω₂) 2r

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