Concept explainers
Does the period of a pendulum depend of the mass of the bob? On the length of the string?
To identify: Whether the period of a pendulum depend on the mass of the bob as well as on the length of the string.
Answer to Problem 31A
No, the period of a pendulum does not depend on the mass of the bob. But it depends on the length of string.
Explanation of Solution
Introduction:
The time period T of a pendulum is defined as thetime taken to complete one back and forth motion from rest. Mathematically, it can be expressed as,
Here,
g denotes the acceleration due to gravity
l denotes the length of the string of the pendulum
From the equation, it can be inferred that the period of the pendulum is independent of bob’s.
Now, it can also be seen that the period is directly proportional to square root of the length of the string,
Conclusion:
Therefore, the period of the pendulum does not depend on the mass of bob but it depends upon the length of string.
Chapter 25 Solutions
Conceptual Physics: The High School Physics Program
Additional Science Textbook Solutions
The Cosmic Perspective (8th Edition)
College Physics: A Strategic Approach (4th Edition)
The Cosmic Perspective
Essential University Physics: Volume 1 (3rd Edition)
Essential University Physics (3rd Edition)
Applied Physics (11th Edition)
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON