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Theory of Machine

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

sinφ
secφ
cosφ
cosecφ

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Theory of Machine
Length of arc of contact is given by

Arc of approach / Arc of recess
Arc of approach + Arc of recess
Arc of approach - Arc of recess
Arc of approach × Arc of recess

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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)

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

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Theory of Machine
The pressure angle of a cam is the angle between the direction of the follower motion and a normal to the

Pitch circle
Prime circle
Pitch curve
Base circle

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Theory of Machine
In locomotives, the ratio of the connecting rod length to me crank radius is kept very large in order to

Minimize the effect of primary forces
Minimize the effect of secondary forces
To start the locomotive quickly
Have perfect balancing

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Theory of Machine
A ball and a socket forms a

Screw pair
Turning pair
Rolling pair
Spherical pair

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