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Theory of Machine

Theory of Machine
If the opposite links of a four bar linkage are equal, the links will always form a

Triangle
Rectangle
Pentagon
Parallelogram

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Theory of Machine
The lead screw of a lathe with nut forms a

Sliding pair
Screw pair
Turning pair
Rolling pair

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Theory of Machine
Davis steering gear consists of

Rolling pairs
Turning pairs
Sliding pairs
Higher pairs

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Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

2.50 mm
3.0 mm
2.22 mm
2 mm

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Theory of Machine
In the below figure, PC is the connecting rod and OC is the crank making an angle θ with the line of stroke PO and rotates with uniform angular velocity at ω rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO. The acceleration of the piston P with respect to the crank-pin C is given by

ω² × CN
ω² × CO
ω² × QN
ω² × NO

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Theory of Machine
The driving and driven shafts connected by a Hooke's joint will have equal speeds, if

cotθ = cosα
cosθ = sinα
tanθ = ± cosα
sinθ = ± tanα

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