A uniform steel bar swings from a pivot at one end with a period of How long is the bar?
Determine the length of the bar is
A pendulum is an extended object that, for tiny angular displacements, may be modeled to maneuver in simple periodic motion with a couple of pivots that don't undergo the middle of mass.
where is the moment of inertia of the thing about an axis through the pivot and is that the distance from the pivot to the middle of a mass of the article.
We are asked to see the length of the bar.
The moment of inertia of the same bar rotating about an axis through one end is found from Table
Where is the length of the bar.
The period of the pendulum is found in Equation
Since the bar is uniform, the middle of mass is found in the middle and
Substitute for Equation
Solve for :
Substitute of numerical value.
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