### Tag Archive for: mechanics

### The Slinky Drop Experiment Analysed

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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.…

### How to Solve a Multi-Atwood Machine Assembly

IntroductionThe figure on the right shows a "double-double" Atwood machine with three ideal pulleys and four masses. All pulleys are released from…

### How to Apply Newton’s Second Law to Variable Mass Systems

Introduction
The applicability of Newton's second law in the oft-quoted "general form" $$\begin{align}\frac{d\mathbf{P}}{dt}=\mathbf{F}_{\text{ext}}\end{align}$$…

### Corrections to MIT Open Courseware: Systems of Varying Mass

Corrections to
MIT Open Courseware 8-01sc classical mechanics,
fall 2016
Applying Newton's Laws to systems of Varying Mass
PDF Course Link
My concerns…

### An Example of Servo-Constraints in Mechanics

Servo-constraint was invented by Henri Beghin in his Ph.D. thesis in 1922. For details see the celebrated monograph in rational mechanics by Paul Appell.To…

### Learn Basic Kinematics in Classical Mechanics

There is an interesting thing in teaching of Classical Mechanics. Several theorems which presented below form a core part of kinematics for all Russian…

### Presenting a Rare Kinematic Formula

Here we present some useful kinematic fact which is uncommon for textbooks in mechanics.
Consider a convex rigid body (RB) rolling without slipping…

### How Does an Airplane Wing Work? A Primer on Lift

Many people ask how an airplane wing works, and several answers are commonly given. You might have even seen vigorous arguments between proponents…

### Frequently Made Errors in Mechanics: Springs

1. Springs in Series
"A spring of constant ##k_1## is connected in series with a spring of constant ##k_2##. What is the spring constant…

### Frequently Made Errors in Mechanics: Kinematics

Kinematics is the subset of dynamics that only concerns itself with time, displacement, velocity, and acceleration. A problem is…

### Frequently Made Errors in Mechanics: Moments

The term "moment" is used in various ways in Physics and Mathematics:Given a force and a reference point, the force has a moment (or…

### Frequently Made Errors in Mechanics: Friction

1. Direction of the normal
Definition: The normal force that body A exerts on body B is that force of minimum magnitude which suffices to…

### Frequently Made Errors in Mechanics: Forces

Notation: On this page, a circumflex signifies an average.
1. Forces as vectors
A force is a vector, i.e. has magnitude and direction.…