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Theory of Machine

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

L
L + 1
L - 1
L + 2

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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

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

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Theory of Machine
The acceleration of a flat-faced follower when it has contact with the flank of a circular arc cam, is given by

ω² R cosθ
ω² (R - r₁) sinθ
ω² (R - r₁) cosθ
ω² r₁ sinθ

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Theory of Machine
The relation between the controlling force (Fc) and radius of rotation (r) for a stable spring controlled governor is

Fc = ar + b
Fc = ar
Fc = ar - b
Fc = a/r + b

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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
16 tp
tp /4
tp /16

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Theory of Machine
The number of centers in a crank driven slider crank mechanism is

2
4
6

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