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On the construction site for a new skyscraper, a uniform

Chapter 13, Problem 67P

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QUESTION:

Problem 67P

On the construction site for a new skyscraper, a uniform beam of steel is suspended from one end. If the beam swings back and forth with a period of 2.00 s, what is its length?

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QUESTION:

Problem 67P

On the construction site for a new skyscraper, a uniform beam of steel is suspended from one end. If the beam swings back and forth with a period of 2.00 s, what is its length?

ANSWER:

Step 1 of 2

The moment of inertia of the beam is given by,

                                                                   

Here  is the mass of the beam and  is the length of the beam.

 The time period of the physical pendulum is given by,

                                                     

Here  is the moment of inertia of the pendulum,  is the acceleration due to gravity,  is the mass of the pendulum, and  is the distance from the pivot point to the centre of mass.

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