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Related Concept Videos

Related Rates01:18

Related Rates

When two or more physical quantities are linked by a single relationship, a change in one variable necessarily affects the others. This interdependence forms the basis of related rates analysis, which examines how different quantities change with respect to time. A classic physical example is an expanding balloon, where the size of the balloon changes continuously as air is added.For a hot air balloon, the inflated envelope is commonly idealized as a perfect sphere to simplify mathematical...
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...
Rigid Body Equilibrium Problems - II01:21

Rigid Body Equilibrium Problems - II

A rigid body is in static equilibrium when the net force and the net torque acting on the system are equal to zero.
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
Buoyancy and Stability for Submerged and Floating Bodies01:11

Buoyancy and Stability for Submerged and Floating Bodies

In fluid mechanics, buoyancy and stability are key concepts for understanding the behavior of submerged and floating bodies. When a stationary body is fully or partially submerged in a fluid, the fluid exerts a force on the body known as the buoyant force. This force acts vertically upward through a point called the center of buoyancy, which is the center of the displaced fluid volume. According to Archimedes' principle, the magnitude of the buoyant force is equal to the weight of the fluid...
Gravity between Spherical Bodies01:27

Gravity between Spherical Bodies

Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
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Conservation of Mass in Moving, Nondeforming Control Volume01:14

Conservation of Mass in Moving, Nondeforming Control Volume

Stormwater detention basins are essential in managing runoff during heavy rainfall, particularly in urban areas where impervious surfaces increase the risk of flooding. Understanding the conservation of mass in these systems allows engineers to optimize basin performance, balancing inflow, outflow, and water storage.
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Related Experiment Video

Updated: May 15, 2026

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
08:49

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Published on: February 17, 2019

Physically plausible balloon dynamics via position-based constraints and geodesic-weighted forces.

Jong-Hyun Kim1

  • 1College of Software and Convergence (Dept. of Artificial Intelligence, Design Technology), Graduate School of Electrical and Computer Engineering, Inha University, Michuhol-gu, Incheon‌‌, South Korea.

Plos One
|May 13, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a fast balloon dynamics simulation using Position-Based Dynamics (PBD). The method efficiently models inflation, deflation, and rotation for real-time interactive applications.

Related Experiment Videos

Last Updated: May 15, 2026

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
08:49

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Published on: February 17, 2019

Area of Science:

  • Computer Graphics
  • Physics Simulation
  • Computational Mechanics

Background:

  • Simulating deformable objects like balloons is computationally intensive.
  • Existing methods often rely on complex fluid-structure coupling or computationally expensive simulations.

Purpose of the Study:

  • To develop a lightweight and efficient method for real-time balloon dynamics simulation.
  • To enable realistic inflation, deflation, and rotation behaviors without explicit fluid simulation.

Main Methods:

  • Utilizes the Position-Based Dynamics (PBD) framework.
  • Combines Bernoulli-derived reaction forces with PBD constraints to avoid fluid simulation.
  • Models rotation as global rigid-body motion and handles shape changes via constraint-based position correction.

Main Results:

  • Achieves real-time performance on high-resolution models.
  • Accurately captures characteristic balloon behaviors like inflation, deflation, and rotation.
  • Demonstrates consistent performance across diverse mesh geometries and mass distributions.

Conclusions:

  • The proposed PBD-based method offers an efficient alternative to traditional fluid-structure coupling for balloon dynamics.
  • The approach is suitable for real-time interactive applications including games and VR/AR.
  • Provides a computationally efficient yet physically plausible simulation of balloon deformation and motion.