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

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

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Theory of Machine
In a mechanism, the fixed instantaneous centers are those centers which

Moves as the mechanism moves, but joints are of permanent nature
Vary with the configuration of the mechanism
Remain in the same place for all configurations of the mechanism
None of the listed here

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