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Related Concept Videos

Friction: Problem Solving01:21

Friction: Problem Solving

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Friction is an essential force that influences the motion of objects in daily life. Depending on the situation, it can be either beneficial or problematic. Consider a bus with a mass of three megagrams and its center of mass at a specific point, moving along a banked road at a constant speed. The coefficient of static friction between the tires and the road is 0.5. Find the maximum angle of the banked road at which the bus would not slip or tip.
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Two-Dimensional Force System: Problem Solving01:29

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Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

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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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Angle of Twist: Problem Solving01:13

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An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the...
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Free-body Diagrams: Problem Solving01:30

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Free-body diagrams are essential tools for physicists and engineers studying the motion of objects. Free-body diagrams are graphical representations of the object or system under consideration, and they focus solely on the essential forces acting on the object. This tool helps break down complex problems into simpler models that are easier to understand and solve.
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Related Experiment Video

Updated: Oct 22, 2025

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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A Factor-Graph-Based Approach to Vehicle Sideslip Angle Estimation.

Antonio Leanza1, Giulio Reina1, José-Luis Blanco-Claraco2

  • 1Department of Mechanics, Mathematics, and Management, Polytechnic of Bari, via Orabona 4, 70126 Bari, Italy.

Sensors (Basel, Switzerland)
|August 28, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a new graphical model approach for estimating vehicle sideslip angle, offering a flexible and potentially more extensible alternative to traditional Kalman filter methods. The open-source framework demonstrates comparable performance to current techniques.

Keywords:
Kalman filteringfactor graphgraphical modelssideslip angle estimationvehicle dynamics estimation

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Area of Science:

  • Automotive Engineering
  • Control Systems
  • Data Science

Background:

  • Vehicle sideslip angle is crucial for dynamics monitoring but lacks inexpensive direct measurement methods.
  • Current estimation relies on Kalman filter techniques using onboard proprioceptive sensors.

Purpose of the Study:

  • To propose a novel method for estimating vehicle sideslip angle using a factor graph model.
  • To provide a flexible mathematical framework for potential future extensions in vehicle dynamics analysis.

Main Methods:

  • Modeling sideslip angle estimation as a factor graph.
  • Utilizing batch optimization for offline processing and fixed-lag smoothing for real-time operation.
  • Validating the approach with experimental data from real vehicles.

Main Results:

  • The factor graph model demonstrated good agreement between estimated and actual sideslip angle.
  • The proposed method achieved performance comparable to state-of-the-art estimation techniques.
  • The flexible framework shows potential for enhanced future applications.

Conclusions:

  • The factor graph approach offers a viable and flexible alternative for sideslip angle estimation.
  • The open-source implementation facilitates adoption and further research in vehicle dynamics.
  • This method enhances the potential for advanced vehicle monitoring and control systems.