Draft:Helical spring pendulum
| Submission declined on 28 March 2025 by Ibjaja055 (talk). The content of this submission includes material that does not meet Wikipedia's minimum standard for inline citations. Please cite your sources using footnotes. For instructions on how to do this, please see Referencing for beginners. Thank you.
Where to get help
How to improve a draft
You can also browse Wikipedia:Featured articles and Wikipedia:Good articles to find examples of Wikipedia's best writing on topics similar to your proposed article. Improving your odds of a speedy review To improve your odds of a faster review, tag your draft with relevant WikiProject tags using the button below. This will let reviewers know a new draft has been submitted in their area of interest. For instance, if you wrote about a female astronomer, you would want to add the Biography, Astronomy, and Women scientists tags. Editor resources
|  |
Comment: Much of this essay is incorrect. A pendulum is a mass that is suspended and moves freely. We do not have an article about the helical spring pendulum, suspended vertically, which is often a lab project in physics classes, but we do have one about the related Wilberforce pendulum. Horizontal springs, shock absorbers, and suspensions are not pendulums. StarryGrandma (talk) 23:58, 28 March 2025 (UTC)
- Comment: Please see Wikipedia's Referencing for Beginners guide for information about how to add in-text citations. Significa liberdade (she/her) (talk) 06:33, 28 March 2025 (UTC)
A helical spring pendulum is a mechanical system that exhibits simple harmonic motion (SHM), consisting of a mass attached to a helical spring. When displaced from its equilibrium position, the mass oscillates due to the restoring force of the spring, governed by Hooke's law. This system is commonly studied in physics to illustrate concepts of oscillation, energy transfer, and harmonic motion.
Principles of operation
[edit]1. Horizontal oscillations When the mass slides horizontally on a frictionless surface: Restoring force: F = -kx (Hooke's law) Newton's second law: F = ma SHM acceleration: a = -ω²x Angular frequency: ω = √(k/m) Period: T = 2π√(m/k)
2. Vertical oscillations In a vertical configuration: New equilibrium position: x₀ = mg/k Net restoring force still follows F = -kx Oscillation frequency remains identical to horizontal case
Applications Helical spring pendula are used in: Mechanical systems (shock absorbers, vehicle suspensions)\ Timekeeping (early clock mechanisms) Laboratory experiments (measuring spring constants or gravitational acceleration)
Mathematical Derivation The motion can be derived from: Energy conservation: Elastic potential energy = ½kx² Kinetic energy = ½mv² Differential equations of motion For small displacements, the system approximates ideal SHM.
References
[edit]Serway, R.A.; Jewett, J.W. (2018). "Oscillations". Physics for Scientists and Engineers (10th ed.). Cengage Learning. ISBN 978-1337553278.
Halliday, David; Resnick, Robert; Walker, Jearl (2013). Fundamentals of Physics (10th ed.). Wiley. pp. 375–380. ISBN 978-1118230725.
Loy, James (2019). "The Vertical Spring Pendulum". The Physics Teacher. 57 (5): 328–331. doi:10.1119/1.5098923.
Gillespie, Thomas D. (1992). "Spring-Mass Systems". Fundamentals of Vehicle Dynamics. SAE International. ISBN 978-1560911999.
"Helical Spring Experiment" (PDF). LUMS Physics Lab. Retrieved 2023-10-15.
Citations Educational resources on oscillations (OpenProf). Masses and Springs