Question

What happens when the point of suspension coincides with the C.G?

Answer 1

Answer:

Such a pendulum is known as compound pendulum or physical pendulum. A rigid body (one that cannot be deformed) pivoted at O (called the “point of suspension”, as. shown in the above figure), or a compound pendulum, when displaced slightly executes simple. harmonic motion, with time period.

Explanation:

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Answer 2

The period of a physical pendulum is determined by the inverse of the distance between the pivot point and the centre of mass. If the pivot is at the centre of mass, the equation yields "infinite," which simply means that in the absence of friction, it will spin around its centre of mass indefinitely and never swing back the other way.

Because the net torque on the pendulum near the COM of the pendulum is certain to be zero, the pendulum will maintain its inertia indefinitely, hence the time period is not defined and can be considered endless.

Iinfinte , Since T=2π√(i/mgl), where i=moment of inertia about the centre of the suspension, g=acceleration due to gravity, m=mass of the pendulum, and l=distance of the centre of gravity from the centre of the suspension, gives the time period of a compound/bar pendulum.