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関連する概念動画

Design Example: Traverse Angle Computations01:25

Design Example: Traverse Angle Computations

104
Traverse angle computations are a critical component of surveying, used to compute the internal angles within a closed traverse. A traverse consists of a series of connected lines forming a closed loop, often used for land boundary delineation or mapping. Calculating the internal angles ensures accuracy in the traverse geometry and is essential for checking survey data integrity.The process begins with known azimuths and bearings of the traverse sides. Internal angles at each vertex are...
104
Planar Rigid-Body Motion01:22

Planar Rigid-Body Motion

474
Understanding the movement of a rigid body in planar motion involves recognizing that every particle within this body is traversing a path that maintains a consistent distance from a specific plane. This concept is fundamental in the study of physics and mechanical engineering, and it allows us to comprehend better how objects move in space.
Planar motion is typically divided into three distinct categories. The first is rectilinear translation, demonstrated by a subway train that moves along...
474
Dynamics Of Circular Motion: Applications01:17

Dynamics Of Circular Motion: Applications

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Suppose a car moves on flat ground and turns to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. For this, a minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway. Let's now consider banked curves, where the slope of the road helps in negotiating the curve. The greater the angle of the curve, the faster one can take the curve. It is common for race tracks for...
7.9K
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

421
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
421
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

693
A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
693
Dynamics of Circular Motion01:30

Dynamics of Circular Motion

13.6K
An object undergoing circular motion, like a race car, is accelerating because it is changing the direction of its velocity. This centrally directed acceleration is called centripetal acceleration. This acceleration acts along the radius of the curved path (thus is also referred to as radial acceleration).
Any acceleration must be produced by some force. Therefore, any force or combination of forces can cause centripetal acceleration. A few examples include the tension in the rope on a...
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関連する実験動画

Updated: Jul 19, 2025

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
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Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Published on: April 11, 2018

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望ましい経路に沿って転がる形状の固体軌道

Yaroslav I Sobolev1, Ruoyu Dong2, Tsvi Tlusty3,4

  • 1Center for Soft and Living Matter, Institute for Basic Science (IBS), Ulsan, South Korea. yaroslav.sobolev@gmail.com.

Nature
|August 9, 2023
PubMed
まとめ
この要約は機械生成です。

研究者達は 複雑な自己閉塞軌道を含む 無限の周期的な経路をたどることができる トラクチオイドと呼ばれる 新しい転がり形を設計しました ロボット工学や光学に 応用できるのです

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Trajectory Data Analyses for Pedestrian Space-time Activity Study
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関連する実験動画

Last Updated: Jul 19, 2025

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
09:32

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Published on: April 11, 2018

9.8K
Trajectory Data Analyses for Pedestrian Space-time Activity Study
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Trajectory Data Analyses for Pedestrian Space-time Activity Study

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Design and Use of an Apparatus for Presenting Graspable Objects in 3D Workspace
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Design and Use of an Apparatus for Presenting Graspable Objects in 3D Workspace

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科学分野:

  • 数学について
  • 物理学
  • ロボット
  • 光学について

背景:

  • 円筒や球のような単純な形状が 線形に動きます
  • オロイドや球体のようなエキゾチックな固体は,曲線的な転行経路を示しますが,シヌソイドのような軌道に限定されます.
  • ローリングボディに関する既存の研究は,特定の形状と,その限られた経路の多様性に焦点を当てています.

研究 の 目的:

  • ローリングボディを設計し,与えられた無限周期的な軌道をたどるための一般的な解決策があるかどうかを判断する.
  • "トラジェクトイド"と呼ばれるこのような体を作成するためのアルゴリズムを開発する.
  • 3Dプリントで設計されたトラクチオイドを実験的に検証し,その回転経路を追跡します.

主な方法:

  • 望ましい無限周期軌道を基にトラクチオイドを設計するための計算アルゴリズムの開発.
  • 設計されたトラクチオイドの形状の3Dプリント
  • 印刷されたトラクチオイドの回転経路の実験追跡と分析.

主要な成果:

  • 任意の無限周期的な経路をたどることができるトラクチオイドの成功設計と検証.
  • 複合的な経路をたどるトラクチオイドの実証,それには自分自身に閉じるものも含まれます.
  • 質量中心の断続的な上昇運動が,特定の軌道の形状で観察された.

結論:

  • ローリングボディ (トラジェクトイド) を任意の無限周期軌道に設計するための一般的な方法が確立されています.
  • トラジェクトイドは,単純な曲線形の経路を超えて,転がる運動の多様性を大幅に拡大します.
  • この研究は,トレイキトイドダイナミクスによる正確なマッピングにより,量子光学と古典光学に潜在的な影響を及ぼします.