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Theory of Machine

Theory of Machine
Which of the following is an open pair?

Cam and follower
Lead screw and nut
Journal bearing
Ball and socket joint

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

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

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Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

1/2π × √(s/m)
0.4985/√δ
Any one of the listed here
1/2π × √(g/δ)

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

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Theory of Machine
The ratio of height of Porter governor (when length of arms and links are equal) to the height of Watt's governor is (where m = Mass of the ball, and M = Mass on the sleeve)

(m + M)/m
M/(m + M)
(m + M)/M
m/(m + M)

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Theory of Machine
The frictional torque transmitted in a flat pivot bearing, assuming uniform wear, is(Where μ = Coefficient of friction, W=Load over the bearing, R=Radius of bearing)

²/₃ μWR
μwr
½μWR
¾μWR

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