mechanics

The animation shows a triangular pendulum in a regular pentagon. The red angles are equal. What is the maximum ratio of the blue to yellow areas?

In 1959, rotating systems were still studied through "elastoid-inertial" oscillations. https://journals.ametsoc.org/view/journals/atsc/16/2/1520-0469_1959_016_0199_anooat_2_0_co_2.pdf This expression was clever and profoundly meaningful because it exactly describes what physics lies... Read more

Problem Statement A particle of mass m moving with velocity v 1 leaves a half-space in which its potential energy is a constant U 1 and enters another in which its potential energy is a different constant U 2. Determine the change in the direction of motion of the... Read more

In 1831, a column of soldiers marched across the Broughton Suspension Bridge near Manchester and the bridge collapsed. The cadence of the march happened to match a frequency the structure responded to strongly, and each footfall added a little more energy than the bridge could shed. Armies have broken step on bridges ever since. The physics behind that order is the same physics that makes a wine …

Why is pulling a heavy object with a rope usually easier than carrying it by hand? I have several 25-liter water containers stored in my yard a few meters from the entrance. When I tried moving them ...

I composed a problem and initially thought it could be solved by purely analytical means, but it turns out it cannot. The problem is as follows: a homogeneous ball of radius ##R## can rotate freely about its fixed center ##O##. Let ##J## denote its moment of inertia relative to an axis passing... Read more

Physicists studying active matter — materials that can use their own internal energy to respond to forces — have uncovered surprising behaviors that challenge conventional ideas in mechanics. Materials that bend, snap, crawl, or even dig on their own may sound like science fiction, but physicists are now building systems that can do exactly that. [...]

The type of bar matters when it comes to how it bends and recoils, but why is still a mystery.

The equation of motion for a pendulum is the differential equation where g is the acceleration due to gravity and ℓ is the length of the pendulum. When this is presented in an introductory physics class, the instructor will immediately say something like “we’re only interested in the case where θ is small, so we can […] The post How nonlinearity affects a pendulum first appeared on John D. Cook .

Perhaps someone would be interested in offering it to their students. There is a disk of radius ##R##. The disk is wound with two inextensible strings, the ends of which are attached to the ceiling. At the moment in time shown in the picture, the strings are taut and the angle between them is... Read more

New model uses 6 differential equations relating to a rotating rigid body for best strike conditions.

There are two questions that can really give some insight into complicated physics concepts. However, I want to do more than just ask the questions.... The post Force and Motion: Creating Two Classic Physics Questions in Real Life with Vernier Cart Fans appeared first on Vernier .

There are many ways to measure motion in your physics classes, from the classic meter stick and stopwatch method to photogates and sensor carts. But... The post Three Mechanics Investigations with the Go Direct Motion Detector appeared first on Vernier .

Physics Is Everywhere British mathematician Roger Penrose once stated, “Sometimes it’s the detours which turn out to be the fruitful ideas.” I am always searching... The post Studying Conservation of Angular Momentum with Vernier Video Analysis appeared first on Vernier .

Organisers of the 19th European Mechanics of Materials Conference (EMMC19) have heralded its success in putting IMDEA Materials Institute on the map in the mechanics of materials field.

Are you ready to take your competitive gaming skills to the next level? Discover how understanding physics principles can revolutionize your gameplay experience. In this guide, we delve into the pivotal role of mechanics, dynamics, and kinetics in competitive gaming. Mechanics in Competitive Gaming Gain insights into the fundamental concepts of mechanics and learn how […] The post The Role of Phy…

The slinky drop is a rather simple experiment. In its most basic form, it requires only a popular toy for children, a stable hand, and a keen eye. For a better view, using a modern smartphone to capture a video of the experiment also helps to capture the falling slinky. Apart from the commonly quoted result, Insight will discuss the evolution of the slinky shape during the drop using only high-sc…

Engaging students in physics can be as simple as getting them moving! The Go Direct® Force Plate, our newest physics sensor, invites students to explore... The post Two Hands-On Motion Investigations with the New Go Direct® Force Plate appeared first on Vernier .

Learn more about stress in mechanics, including its definition as the force per unit area acting on a material, and the types of stress that can occur, such as shear, compressive, tensile, and torsional.

What is a pendulum? A pendulum is an object hanging from a fixed point that swings backwards and forwards when pulled back and released. Imagine sitting on a swing in a park. If someone pulled the swing back and let go the swing would move backwards and forwards and eventually stop without another force to […] The post Easy Painting Pendulum appeared first on Science Experiments for Kids .