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Theory of Machine

Theory of Machine
Peaucellier’s mechanism has

Four links
Twelve links
Eight links
Six links

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Theory of Machine
The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

(R - r₁) (1 - cosθ)
R (1 - cosθ)
R (1 - sinθ)
(R - r₁) (1 - sinθ)

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Theory of Machine
An involute pinion and gear are in mesh. If both have the same size of addendum, then there will be an interference between the

Flanks of both gear and pinion
Tip of the gear tooth and flank of pinion
Tip of the pinion and flank of gear
Tip of both gear and pinion

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Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

cosφ
secφ
cosecφ
sinφ

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Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

0.4985/ √δS
0.5615/ √δS
0.6253/ √δS
0.571/ √δS

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Theory of Machine
One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring)

2π. √(δ/g)
1/2π. √(δ/g)
1/2π. √(g/δ)
2π. √(g/δ)

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