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

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

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Theory of Machine
The inversion of a mechanism is

Turning its upside down
Obtained by reversing the input and output motion
Obtained by fixing different links in a kinematic chain
Changing of a higher pair to a lower pair

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