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Related Concept Videos

Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

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In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
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By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if there is no spherical symmetry. Since most rigid bodies are not spherically symmetric, these require special treatment.
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A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to this type of spinning is defined by the angular position, symbolized by the angle θ. This angle is gauged from a static reference line to the revolving object. From this angular position, any variation is referred to as angular displacement, denoted by dθ. The extent of this displacement can be calculated in degrees, radians, or...
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Rotation with Constant Angular Acceleration - I01:37

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If angular acceleration is constant, then we can simplify equations of rotational kinematics, similar to the equations of linear kinematics. This simplified set of equations can be used to describe many applications in physics and engineering where the angular acceleration of a system is constant.
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Rotation with Constant Angular Acceleration - II01:16

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Kinematics is the description of motion. The kinematics of rotational motion discusses the relationships between rotation angle, angular velocity, angular acceleration, and time. One can describe many things with great precision using kinematics, but kinematics does not consider causes. For example, a large angular acceleration describes a very rapid change in angular velocity without any consideration of its cause. Thus, rotational kinematics does not represent the laws of nature.
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Since all objects on the Earth's surface move through a circle every 24 hours, there must be a net centripetal force on each object, directed towards the center of that circle. The points of the north and south poles are the only exception to this rule.
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Exfoliation and Analysis of Large-area, Air-Sensitive Two-Dimensional Materials
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Controlling Rotation of Two-Dimensional Material Flakes.

Shuze Zhu1, Pascal Pochet2, Harley T Johnson1

  • 1Department of Mechanical Science and Engineering , University of Illinois at Urbana-Champaign , Urbana , Illinois 61801 , United States.

ACS Nano
|May 15, 2019
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Summary
This summary is machine-generated.

Researchers discovered a moiré-driven mechanism to control interlayer rotation in 2D materials. This breakthrough enables programmable design of rotation-tunable electronics for advanced twistronics applications.

Keywords:
interlayer rotationmoiréstrain engineeringtwo-dimensional materials

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Nanotechnology

Background:

  • Interlayer rotational alignment in van der Waals (vdW) structures of two-dimensional (2D) materials significantly impacts electronic properties.
  • Precise control over this rotation is crucial for developing rotation-tunable electronics and advancing the field of twistronics.
  • Current methods for controlling flake rotation are limited, posing a challenge for technological applications.

Purpose of the Study:

  • To reveal a general mechanism governing interlayer rotation in 2D vdW heterostructures.
  • To demonstrate a method for controlling interlayer rotation through moiré pattern engineering.
  • To provide a programmable approach for designing on-demand rotation-tunable electronic devices.

Main Methods:

  • Identification of a moiré-driven mechanism that dictates interlayer rotational alignment.
  • Application of mismatch strain engineering to manipulate the moiré energy landscape.
  • Analysis of moiré symmetry, energetics, and mechanics to ensure robustness and programmability.

Main Results:

  • A general moiré-driven mechanism controlling interlayer rotation in 2D vdW heterostructures was elucidated.
  • Mismatch strain engineering was demonstrated as an effective tool to tune interlayer rotation by modifying moiré patterns.
  • The proposed approach offers a robust and programmable method for controlling rotational alignment.

Conclusions:

  • Controlling moiré patterns provides a pathway to control interlayer rotation in 2D materials.
  • Strain engineering offers a versatile strategy for designing specific interlayer rotations.
  • This work presents a novel approach for the on-demand fabrication of rotation-tunable electronic devices.