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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

1
2
-1

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Theory of Machine
A kinematic chain requires at least

3 links and 4 turning pairs
2 links and 3 turning pairs
4 links and 4 turning pairs
5 links and 4 turning pairs

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Theory of Machine
A simple spring-mass vibrating system has a natural frequency of fn. If the spring stiffness is halved and the mass is doubled, then the natural frequency will become

2 fn
4 fn
8 fn
fn/2

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Theory of Machine
The length of a simple pendulum which gives the same frequency as the compound pendulum, is

kG + l₁
(kG² + l₁²)/ l₁
kG² + l₁
(kG + l₁²)/ l₁

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Theory of Machine
The type of pair formed by two elements which are so connected that one is constrained to turn or revolve about a fixed axis of another element is known as

Sliding pair
Rolling pair
Spherical pair
Turning pair

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Theory of Machine
A shaft carrying two rotors at its ends will have

Two nodes
No node
One node
Three nodes

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