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

h²/(kG² + h²)
h/(kG² + h²)
(kG² + h²)/h²
(kG² + h²)/h

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Theory of Machine
A body is said to be under forced vibrations, when

There is a reduction in amplitude after every cycle of vibration
A body vibrates under the influence of external force
None of these
No external force acts on a body, after giving it an initial displacement

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Theory of Machine
A governor is said to be stable, if the

Radius of rotation of balls increases as the equilibrium speed increases
Radius of rotation of balls increases as the equilibrium speed decreases
Radius of rotation of balls decreases as the equilibrium speed decreases
Radius of rotation of balls decreases as the equilibrium speed increases

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