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Theory of Machine

Theory of Machine
The mechanism forms a structure, when the number of degrees of freedom (n) is equal to

2
1
-1

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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

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

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Theory of Machine
Davis steering gear consists of

Sliding pairs
Higher pairs
Turning pairs
Rolling pairs

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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 - r₁) (1 - sinθ)
R (1 - sinθ)

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Theory of Machine
A machine mounted on a single coil spring has a period of free vibration of tp . If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will become

4 tp
tp /4
tp /16
16 tp

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Theory of Machine
If there are L number of links in a mechanism, then number of possible inversions is equal to

L + 2
L
L - 1
L + 1

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