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Non-uniform Circular Motion01:22

Non-uniform Circular Motion

In uniform circular motion, the particle executing circular motion has a constant speed, and the circle is at a fixed radius. However, not all circular motion occurs at a constant speed. A particle can travel in a circle and speed up or slow down, showing an acceleration in the direction of motion. In that case, the motion is called non-uniform circular motion, and an additional acceleration is introduced, which is in the direction tangential to the circle. 
For example, such accelerations...
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque exerted...
Design of Transmission Shafts01:16

Design of Transmission Shafts

The design of a transmission shaft is governed by two primary specifications: the power it transmits and its rotational speed. These parameters guide the selection of the shaft's material and cross-sectional dimensions, ensuring that the material's maximum shearing stress remains within the elastic limit while transmitting the desired power at the given speed. The system's power is intrinsically linked to the applied torque. The torque applied to the shaft can be calculated by reconfiguring the...
Transmission Shafts: Problem Solving01:09

Transmission Shafts: Problem Solving

Designing a solid shaft that transmits power from a motor to a machine tool involves a series of calculations to ensure the shaft can withstand the stresses applied by bending moments and torques. First, calculate the torque exerted on the gear, considering the power transmitted by the shaft and its rotational speed. Following this, compute the tangential forces acting on the gears, which directly relate to the torque and the gear radius.
Next, use bending moment diagrams for the shaft to...
The Swing Equation01:21

The Swing Equation

The Swing Equation is a fundamental tool in power system dynamics, especially for analyzing the behavior of generating units like three-phase synchronous generators. This equation emerges from applying Newton's second law to the rotor of a generator, encompassing factors such as inertia, angular acceleration, and the interplay between mechanical and electrical torques.
In a steady-state operation, the mechanical torque (Τm) supplied to the generator is balanced by the electrical torque (Τe)...
Higher Derivatives01:29

Higher Derivatives

In calculus, higher-order derivatives extend the idea of differentiation beyond the first derivative to capture successive rates of change. These derivatives provide detailed information about the behavior of functions and have important applications in both mathematics and physics. To illustrate these concepts, consider the example function\begin{equation*}f(x) = x^3 - x\end{equation*}which serves as a useful case study for exploring higher derivatives.The first derivative represents the slope...

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関連する実験動画

Updated: Jun 26, 2026

Method to Measure Tone of Axial and Proximal Muscle
10:41

Method to Measure Tone of Axial and Proximal Muscle

Published on: December 14, 2011

ヘリコイド型シフトマー

Dean J Tantillo1, Roald Hoffmann

  • 1Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853-1301, USA.

Journal of the American Chemical Society
|June 13, 2002
PubMed
まとめ
この要約は機械生成です。

螺旋型ポリエネにおける水素シフトの活性化バリアを計算しました. この研究は,特定の螺旋形状の [1,7]-シフタマーに ~14 kcal / mol の低いバリアを予測しています.

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Last Updated: Jun 26, 2026

Method to Measure Tone of Axial and Proximal Muscle
10:41

Method to Measure Tone of Axial and Proximal Muscle

Published on: December 14, 2011

Fabrication Process of Silicone-based Dielectric Elastomer Actuators
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Published on: February 1, 2016

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科学分野:

  • 有機化学 オーガニック・ケミストリー
  • コンピューティング・ケミストリー
  • ポリマーサイエンスの科学

背景:

  • 螺旋型ポリエンは,ユニークな構造特性を有する複雑な有機分子です.
  • 水素シフトは,有機化学における基本的な反応であり,分子変換に影響を与える.
  • ポリエンの反応機構を理解することは,新しい材料や触媒の設計に不可欠です.

研究 の 目的:

  • 螺旋型ポリエネの表面間 [1,7]-水素シフトの活性化バリアを計算する.
  • これらの水素シフトに対する飽和した基礎構造の影響を調査する.
  • 無限ポリエネ系 ([1,7]-シフトマー) の水素シフトバリアを予測する.

主な方法:

  • 活性化バリアをモデル化および計算するために,計算化学の方法が採用されました.
  • 密度関数理論 (DFT) は,電子構造の計算に使用された可能性が高い.
  • 分析は,様々な螺旋型ポリエネモデルにおける[1,7]-水素シフトの移行状態に焦点を当てた.

主要な成果:

  • 面間 [1,7]-水素シフトの活性化バリアは,いくつかの螺旋型ポリエネシステムで決定されました.
  • 飽和した基礎構造の存在は,計算された障壁に影響することが判明しました.
  • [1,7]-shiftamer. について,およそ14 kcal/molの著しく低い活性化バリアが予測されました.

結論:

  • ヘリカルポリエネのインターフェイシャル [1,7]-水素シフトは実現可能であり,バリアは形状に依存する.
  • 螺旋状の形状への前編成は,活性化バリアを下げるための鍵です.
  • [1,7]-シフトマーは,非常にアクセス可能な水素シフト経路を持つモデルシステムを表しています.