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When a rigid body is hanging freely from a fixed pivot point and is displaced, it oscillates similar to a simple pendulum and is known as a physical pendulum. The period and angular frequency of a physical pendulum are obtained by using the small-angle approximation and drawing parallels with a spring-mass system. The small-angle approximation (sinθ=θ) is valid up to about 14°.
When dealing with complicated systems, the mass moment of inertia is an important parameter, as it...
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A simple pendulum consists of a small diameter ball suspended from a string, which has negligible mass but is strong enough to not stretch. In our daily life, pendulums have many uses, such as in clocks, on a swing set, and on a sinker on a fishing line. 
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A torsional pendulum involves the oscillation of a rigid body in which the restoring force is provided by the torsion in the string from which the rigid body is suspended. Ideally, the string should be massless; practically, its mass is much smaller than the rigid body's mass and is neglected.
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Angular momentum characterizes an object's rotational motion and is defined as the moment of its linear momentum about a specified point O. When a particle moves along a curved path in the x-y plane, the scalar formulation calculates the magnitude of its angular momentum, utilizing the moment arm (d), representing the perpendicular distance from point O to the line of action of the linear momentum. Despite being scalar in formulation, angular momentum is inherently a vector quantity. Its...
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Simple harmonic motion (SHM) is a type of periodic motion in time and position, in which an object oscillates back and forth around an equilibrium position with a constant amplitude and frequency. In SHM, there is a continuous exchange between the potential and kinetic energy, which results in the oscillation of the object.
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When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
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The science pendulum: From programmatic to incremental-and back?

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Scientific research practices are evolving, with a recent shift in perspective on programmatic science. This analysis explores changes in replication, reliability, and reproducibility, impacting scientific progress and future researchers.

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Area of Science:

  • Scientific Research Methodology
  • Research Integrity
  • Scientific Progress

Background:

  • The scientific research landscape is dynamic, with evolving methodologies and evaluation criteria.
  • Recent years have seen a critical re-evaluation of programmatic science, questioning its incremental contributions to scientific progress.

Purpose of the Study:

  • To reflect on the evolution of scientific practices throughout a research career.
  • To examine the changing emphasis on replication, reliability, and reproducibility in scientific research.
  • To identify potential pitfalls affecting scientific progress and the development of future scientists.

Main Methods:

  • Qualitative reflection on changes in scientific practice over a career.
  • Analysis of the factors influencing shifts in the emphasis of research tools like replication, reliability, and reproducibility.
  • Consideration of the impact of these changes on scientific advancement and emerging researchers.

Main Results:

  • A discernible shift from a positive to a more critical view of programmatic science.
  • Recognition of the crucial role of replication, reliability, and reproducibility in scientific endeavors.
  • Identification of potential negative consequences for scientific progress and the training of new scientists.

Conclusions:

  • Scientific community members can actively shape current research practices through their roles as authors, reviewers, investigators, editors, employers, and educators.
  • Promoting robust scientific practices is essential for sustained scientific progress.
  • Addressing the challenges in replication, reliability, and reproducibility is vital for the future of science.