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Principle of Moments: Problem Solving

Principle of Moments: Problem Solving

The principle of moments is a fundamental concept in physics and engineering. It refers to the balancing of forces and moments around a point or axis, also known as the pivot. This principle is used in many real-life scenarios, including construction, sports, and daily activities like opening doors and pushing objects.
One such scenario involves a pole placed in a three-dimensional system with a cable attached. When a tension is applied to the cable, the moment about the z-axis passing through...

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Quite often in three-dimensional statics problems, the direction of a force is specified by two points through which its line of action passes. Consider a three-dimensional static pole with a cable anchored to the ground.

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Updated: Jul 16, 2026

Measurement of Vibration Detection Threshold and Tactile Spatial Acuity in Human Subjects

Measurement of Vibration Detection Threshold and Tactile Spatial Acuity in Human Subjects

Published on: September 1, 2016

One-Dimensional Position Detection Using a Cable Piezoelectric Sensor.

Yusuke Yamazoe¹, Kento Ise², Sayaka Kohno²

¹Department of Applied Physics, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan.

Sensors (Basel, Switzerland)

|July 15, 2026

Summary

This study developed a flexible piezoelectric cable sensor capable of pinpointing force application. By measuring charge distribution, it accurately identifies force location along the sensor length.

Keywords:

cable sensor flexible piezoelectric sensor one-dimensional sensing polyvinylidene fluoride (PVDF)position detection

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Last Updated: Jul 16, 2026

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Area of Science:

Materials Science
Electrical Engineering
Sensor Technology

Background:

Existing sensors often lack flexibility and wide-area sensing capabilities.
Accurate force application point identification is crucial for various monitoring applications.

Purpose of the Study:

To establish a novel sensor structure and readout circuit for precise force application point identification in a single cable piezoelectric sensor.
To enable wide-area sensing through a highly flexible, continuously formable sensor.

Main Methods:

Designed a cable piezoelectric sensor with a high-resistance central electrode.
Utilized charge amplifiers connected to both ends to measure divided charge.
Predicted force application point using a normalized ratio of measured charges and a smoothing-spline calibration model.

Main Results:

Successfully verified the principle using a five-segment cable with discrete resistors.
Achieved a root mean square error of 25 mm in predicting the point of force application for the developed cable sensor.
Demonstrated the sensor's capability for wide-area sensing due to its flexible and continuous form.

Conclusions:

The developed piezoelectric cable sensor effectively identifies the point of force application.
The high-resistance central electrode and dual charge amplifier readout enable accurate, wide-area force sensing.
This technology offers a promising solution for flexible and precise force monitoring.