We propose a new tool for laboratory curricula based on computer-aided data acquisition and analysis. A pendulumcoupled to a low-friction rotary sensor offers variable length, variable mass, variable oscillation plane (to change theeffective gravitational restoring torque) and two different kind of ...
14.Perturbation Approximative Method of Nonlinear Motion Equation of A Simple Pendulum;单摆非线性运动方程的微扰近似解法 15.The equations defining the zero-order perturbation simply govern the static solution.定义零级微扰的方程简单地决定了静态解。 16.The Universal Description of Arbitrary Dimensional Ideal...
For example, themeteorologistEdward Lorenzdiscovered that a simple model ofheatconvectionpossessesintrinsicunpredictability, a circumstance he called the “butterfly effect,” suggesting that the mere flapping of abutterfly’swing can change theweather. A more homely example is thepinball machine: the ...
16.Comment on 《Approximate formula for the period of a simple pendulum》;对《一个单摆周期近似公式》一文的讨论 17.molecular field approximation (: Weiss approximation )"分子场近似法,魏近似法" 18.shock-layer approximation激波层近似解法[近似值] 相关短句/例句 Lyapunov approximate theoryLyapunov近似理论...
Charles Hopkins 2 - Identification correct, but placement for climax is wrong. For counting / spelling tricks (double/triple lifts, pilot card technique) Related to 25 - The "Pilot Card". (Charles Hopkins, 1940) 1940 "Outs" Precautions and Challenges 19 Cards / Principles / Theory & ...
2.3.3. Comparison with pendulums It is interesting to compare the circular isochronism defect of the linear restoring force to the well-known classical isochronism defect for the simple pendulumT(θ)T0−1=116θ2+O(θ3),and the circular isochronism defect of the conical pendulumT(θ)T0...
As is well known, simple pendulums represent widely studied models of nonlinear oscillators, ex- hibiting a variety of physically interesting dynami- cal properties. When coupled in linear chains, for example, they are often used as models for arrays of short Josephson junctions or series of non...
The pendulum acted like a seesaw so that, when a player depressed his clock, it stopped and the opponent’s clock began ticking. See Figure 4. Modern clocks consist of two parallel timers, each with a small button above it for a player to press after completing a move. This stops the ...
The inverted pendulum is a classic problem in dynamics and control theory and is widely used as a benchmark for testing control algorithms. It is also an area of active study, with many new innovations and applications – for example the problem is solved in the technology of the Segway, a...
for the deviations x1 and u1. To be explicit, recall that f is an n-component vector, as is x. Then the components of A, for example, are given by Aij = ∂xj fi, evaluated at x0 and u0. In our pendulum example, we had two fixed points, at θ = 0 and π (see left). ...