Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 13PCE
The time T required for one complete oscillation of a mass m on a spring of force constant K is
Find the dimensions k must have for this equation to be dimensionally correct.
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The period T of a simple pendulum is the amount of timerequired for it to undergo one complete oscillation. If the lengthof the pendulum is L and the acceleration of gravity is g, then T isgiven by T = 2pLpgq. Find the powers p and q required for dimensional consistency.
We might assume that the period of a simple pendulum depends on the mass M, the length l of the string and g the acceleration due to gravity, i.e T is directly proportional to m l g. Consider the dimensions of the quantities involved to deduce the values of alpha, beta, gamma hence show that T is directly proportional to √l/g
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Chapter 1 Solutions
Physics (5th Edition)
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