ezzieyguywuf
Active member
- Joined
- Jun 19, 2017
- Messages
- 39
- Reaction score
- 3
Shigley's chapter 10, on page 527, describes the fundamental frequency and weight of a spring as follows:
In the MERM, in table 60.1, the same equation is given for the linear frequency of a mass-and-spring system except there is a factor of pi in the denominator of the 1/2. This equation is (I believe) used to derive formula 54.18. I can derive this same formula using the following formula for the weight W of a spring:
My problem is that factor of pi that is in equation 54.18 in the MERM. I'm working on problem 58 in the 6 minute Solutions for Mechanical Systems and Materials, and their solution seems to also include the factor of pi.
Does anyone know why the MERM includes this factor and Shigley does not? Shigley specifically states that this equation is for "a spring placed between two flat and parallel plates". Could this be the reason? I don't see any clarification regarding the end conditions in the MERM. Any help would be greatly appreciated.
In the MERM, in table 60.1, the same equation is given for the linear frequency of a mass-and-spring system except there is a factor of pi in the denominator of the 1/2. This equation is (I believe) used to derive formula 54.18. I can derive this same formula using the following formula for the weight W of a spring:
My problem is that factor of pi that is in equation 54.18 in the MERM. I'm working on problem 58 in the 6 minute Solutions for Mechanical Systems and Materials, and their solution seems to also include the factor of pi.
Does anyone know why the MERM includes this factor and Shigley does not? Shigley specifically states that this equation is for "a spring placed between two flat and parallel plates". Could this be the reason? I don't see any clarification regarding the end conditions in the MERM. Any help would be greatly appreciated.