To determine The time period of the system. Explanation Write the expression for the time period for a physical pendulum. T = 2 π I m g h (I) Here, T is the time period, g is the gravitational acceleration, h is the distance from the center of mass to the axis of rotation, m is the mass and I is the moment of inertia. Write the expression for moment of inertia from parallel axis theorem. I = 1 12 m l 2 + m h 2 (II) Here, l is the length of the pendulum. Write the expression for the length. l = x + y (III) Here, x , y are the distances. Write the expression for the length from the center to axis of rotation. h = ( x − y / 2 ) (IV) Rewrite the expression (I) by using (II), (III) and (IV). T physical = 2 π 1 12 m ( x + y ) 2 + m ( x − y / 2 ) 2 m g ( x − y / 2 ) = 2 π 1 12 ( x

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ISBN: 9780134988559

Author: Wolfson, Richard

Publisher: Pearson Education,

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Chapter 13, Problem 35E

To determine

The time period of the system.

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Chapter 13, Problem 34E

Chapter 13, Problem 36E

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