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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
cosφ
secφ
cosecφ

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Theory of Machine
The frictional torque transmitted in a conical pivot bearing, considering uniform wear, is

(2/3) μ W R cosecα
(1/2) μ W R cosecα
μ W R cosecα
(3/4) μ W R cosecα

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Theory of Machine
The size of cam depends upon

Base circle
Pitch circle
Prime circle
Pitch curve

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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 × NO
ω² × CO
ω² × QN

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Theory of Machine
A single degree of freedom system is given by, m × (d²x/dt²) + c × (dx/dt) + sx = F.cosω.t with usual notations. It represents

Free vibration without damping
Forced vibration without damping
Forced vibration with damping
Free vibration with damping

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Theory of Machine
When the nature of contact between the elements of a pair is such that one element can turn about the other by screw threads, the pair is known as a

Spherical pair
Turning pair
Sliding pair
Screw pair

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