Fixed Axis Rotation

Fixed axis rotation is the motion of a rigid body about a stationary line, providing a fundamental model for analyzing rotational motion in physics. As the body turns, every point follows a circular path centered on the axis, while angular displacement, angular velocity, and angular acceleration describe its changing orientation and rate of rotation. The motion is governed by torque and moment of inertia, with net torque producing angular acceleration according to the rotational form of Newton’s second law. This framework supports analysis of gears, pulleys, wheels, turbines, and rotating machinery, linking linear and rotational quantities in engineering and experimental mechanics.

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Education

JoVE Core - Mechanical Engineering

Rotational Motion about a Fixed Axis

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2024

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 revolutions, where one...

Equation of Motion: Rotation About a Fixed Axis

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2024

Consider a flywheel, having an uneven mass distribution, rotating steadily around a fixed axis. As this rotation occurs, the center of mass of the flywheel traces a circular path. Understanding the acceleration of this center of mass requires observing both its tangential and normal components. The tangential component is dependent on the direction of the angular acceleration of the flywheel. The tangential component of the acceleration propels the flywheel along its path. On the other hand,...

Rotational Inertia

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2023

Source: Nicholas Timmons, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA Inertia is the resistance of an object to being accelerated. In linear kinematics, this concept is directly related to the mass of an object. The more massive an object, the more force is required to accelerate that object. This is seen directly in Newton's second law, which states that force is equal to mass times acceleration. For rotation,...

Mental Rotation

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2023

Source: Laboratory of Jonathan Flombaum—Johns Hopkins University Visual mental imagery refers to the ability to conjure images in one’s mind’s eye. This allows people to process visual material above and beyond the constraints of a current point-of-view; for example, a person could imagine, using their mind’s eye, how something might look in a different color, or what it would look like if it were made from a different material or rotated and seen from a different perspective. Mental imagery...

Research

JoVE Journal - Engineering

Magnetically Induced Rotating Rayleigh-Taylor Instability

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Cited by 5 •

2017

We present a protocol for preparing a two-layer density-stratified liquid that can be spun-up into solid body rotation and subsequently induced into Rayleigh-Taylor instability by applying a gradient magnetic field.

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