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Theory of Machine

Theory of Machine
In a rigid link OA, velocity of 'A' w.r.t. 'O' will be

Parallel to OA
Perpendicular to OA
Along AO
At 45° to OA

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Theory of Machine
The length of a simple pendulum which gives the same frequency as the compound pendulum, is

kG² + l₁
(kG² + l₁²)/ l₁
(kG + l₁²)/ l₁
kG + l₁

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Theory of Machine
The method of direct and reverse cranks is used in engines for

Kinematic analysis
Balancing of forces and couples
Vibration analysis
The control of speed fluctuations

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Theory of Machine
When a ship travels in a sea, which of the effect is more dangerous

Steering
All of these
Rolling
Pitching

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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

Stable
None of these
Isochronous
Unstable

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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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