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Relative Motion Analysis using Rotating Axes-Problem Solving

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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.
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Related Experiment Video

Updated: Jul 15, 2026

Three-Dimensional Mapping of the Rotation of Interactive Virtual Objects with Eye-Tracking Data

Three-Dimensional Mapping of the Rotation of Interactive Virtual Objects with Eye-Tracking Data

Published on: October 18, 2024

Motion in the mind's eye: comparing mental and visual rotation.

Amy L Shelton¹, Holly A Pippitt

¹Department of Psychological and Brain Sciences, Johns Hopkins University, Baltimore, MD 21218, USA. ashelton@jhu.edu

Cognitive, Affective & Behavioral Neuroscience

|April 27, 2007

Summary

Mental rotation, a key visuospatial skill, activates brain regions similar to visual motion processing. This suggests shared neural mechanisms for imagining and observing object movement.

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Controlled Rotation of Human Observers in a Virtual Reality Environment

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Published on: April 21, 2022

Area of Science:

Cognitive Neuroscience
Neuroscience
Psychology

Background:

Mental rotation is a fundamental visuospatial ability.
Its neural underpinnings are explored by comparing mental and visual rotation.

Purpose of the Study:

To investigate the neural basis of mental rotation.
To compare brain activation during mental versus visual rotation using fMRI.

Main Methods:

Functional magnetic resonance imaging (fMRI) of the whole brain.
Localization of motion-sensitive area hV5/MT+.
Comparison of brain activity for mental and visual rotation tasks.

Main Results:

Significant activation in hV5/MT+ during both mental and visual rotation.
Increased hV5/MT+ activation correlated with the degree of rotation.
Similar activation patterns observed for both rotation types.

Conclusions:

Mental rotation engages neural substrates also involved in visual motion perception.
Suggests shared neural resources for imagining and observing movement.
Provides evidence for the link between visuospatial skills and motion processing networks.