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Related Concept Videos

Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
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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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Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving01:23

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Consider a wooden box and a cylinder of known masses m1 and m2, respectively,  hanging from a ceiling with the help of a massless pulley system.
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Three-Dimensional Force System01:30

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In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
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Planar Rigid-Body Motion01:22

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Understanding the movement of a rigid body in planar motion involves recognizing that every particle within this body is traversing a path that maintains a consistent distance from a specific plane. This concept is fundamental in the study of physics and mechanical engineering, and it allows us to comprehend better how objects move in 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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Related Experiment Video

Updated: Jan 13, 2026

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
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A Physics-Informed Demonstration-Guided Learning Framework for Granular Material Manipulation.

Minglun Wei, Xintong Yang, Yu-Kun Lai

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    |October 28, 2025
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    Summary
    This summary is machine-generated.

    This study introduces a new robot learning framework for granular material manipulation. It uses a differentiable physics simulator to train robust policies, improving performance in real-world tasks.

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    Area of Science:

    • Robotics
    • Artificial Intelligence
    • Physics Simulation

    Background:

    • Robot learning for granular materials often ignores physical properties or uses approximations.
    • Precise physical modeling for granular material manipulation remains a challenge.

    Purpose of the Study:

    • To develop a novel learning framework for robot manipulation of granular materials.
    • To address the limitations of existing methods by incorporating differentiable physics-based simulation.

    Main Methods:

    • Constructed a differentiable physics-based simulator for granular materials using the Taichi programming language.
    • Developed a learning framework accelerated by demonstrations from gradient-based optimization on non-granular materials.
    • Eliminated costly data collection and model training inherent in prior approaches.

    Main Results:

    • The proposed method trains robust policies for granular material transportation.
    • Achieved successful task execution in both simulated and real-world environments.
    • Outperformed standard reinforcement learning, imitation learning, and prior task-specific methods.

    Conclusions:

    • The flexible design enables effective granular material manipulation.
    • The physics-based approach overcomes limitations of traditional methods.
    • Demonstrates a viable path towards advanced robotic manipulation of complex materials.