Case 2: Next, consider the case of a student wishing to determine the spring constant for a spring by measuring the period of oscillation of a mass on the spring. The student knows that the relationship between the spring constant (k), the mass (m), and the period of oscillation (T) is given by the equation m T = 2n. (18) V k This is not a linear equation, but it can be linearized using the same method used to linearize Equation 10. Square both sides of the equation. Then, you can then plot T² versus m. The slope of the resulting line can be used to determine the spring constant, k. Mass (m) 0.200 kg 0.400 kg 0.600 kg 0.800 kg 1.000 kg 1.200 kg Period (T) 0.331 sec 0.459 sec 0.575 sec 0.669 sec 0.728 sec 0.803 sec T2

Case 2: Next, consider the case of a student wishing to determine the spring constant for a spring by measuring the period of oscillation of a mass on the spring. The student knows that the relationship between the spring constant (k), the mass (m), and the period of oscillation (T) is given by the equation m T = 2n. (18) V k This is not a linear equation, but it can be linearized using the same method used to linearize Equation 10. Square both sides of the equation. Then, you can then plot T² versus m. The slope of the resulting line can be used to determine the spring constant, k. Mass (m) 0.200 kg 0.400 kg 0.600 kg 0.800 kg 1.000 kg 1.200 kg Period (T) 0.331 sec 0.459 sec 0.575 sec 0.669 sec 0.728 sec 0.803 sec T2

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 29P: A mass m0is attached to a spring and hung vertically. The mass is raised a short distance in the...

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Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

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I am having a hard time finding the meaning of what T²is in the equation. Do I just square the T or do something else? Thanks for the help in advanced.

Case 2:
Next, consider the case of a student wishing to determine the spring constant for a spring by measuring
the period of oscillation of a mass on the spring. The student knows that the relationship between the
spring constant (k), the mass (m), and the period of oscillation (T) is given by the equation
m
T = 2n.
(18)
V k
This is not a linear equation, but it can be linearized using the same method used to linearize Equation
10. Square both sides of the equation. Then, you can then plot T² versus m. The slope of the resulting
line can be used to determine the spring constant, k.
Mass (m)
0.200 kg
0.400 kg
0.600 kg
0.800 kg
1.000 kg
1.200 kg
Period (T)
0.331 sec
0.459 sec
0.575 sec
0.669 sec
0.728 sec
0.803 sec
T2

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