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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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Consider a meter stick that oscillates back and forth

Chapter 13, Problem 66P

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QUESTION:

Problem 66P

Consider a meter stick that oscillates back and forth about a pivot point at one of its ends. (a) Is the period of a simple pendulum of length L =1.00 m greater than, less than, or the same as the period of the meterstick? Explain. (b) Find the length L of a simple pendulum that has a period equal to the period of the meterstick.

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QUESTION:

Problem 66P

Consider a meter stick that oscillates back and forth about a pivot point at one of its ends. (a) Is the period of a simple pendulum of length L =1.00 m greater than, less than, or the same as the period of the meterstick? Explain. (b) Find the length L of a simple pendulum that has a period equal to the period of the meterstick.

ANSWER:

Step 1 of 5

The moment of inertia of the rectangular physical pendulum pivoted at one end is given as follow,

                                                                   

Here  is the total length of the physical pendulum and  is the mass of the physical pendulum.

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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