Theory of Machine
The sense of Coriolis component 2 ωv is same as that of the relative velocity vector v rotated at

45° in the direction opposite to the rotation of the link containing the path
90° in the direction of rotation of the link containing the path
45° in the direction of rotation of the link containing the path
180° in the direction opposite to the rotation of the link containing the path

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Theory of Machine
The primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r sinθ
m.ω².r (cos 2θ/n)
m.ω².r (sin 2θ/n)
m.ω².r cosθ

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Theory of Machine
Which is the false statement about the properties of instantaneous center?

The two rigid links have no linear velocities relative to each other at the instantaneous center
The double center can be denoted either by O2 or O12, but proper selection should be made
At the instantaneous center of rotation, one rigid link rotates instantaneously relative to another for the configuration of mechanism considered
The two rigid links which have no linear velocity relative to each other at this center have the same linear velocity to the third rigid link

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Theory of Machine
Crowning on pulleys helps

Increase belt and pulley life
In decreasing the slip of the belt
In increasing velocity ratio
For automatic adjustment of belt position so that belt runs centrally

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