Механика и простые механизмы · AP Physics 1 Unit 2 (Dynamics)
Симулятор трения и диаграммы сил
Симулятор диаграммы свободного тела и трения покоя vs скольжения на наклонной плоскости
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Окно 3D симуляции● 60 FPS
Параметры эксперимента
N
kg
°
Расчёты и показатели в реальном времени
Фактическое трение f
--
Макс. трение покоя
--
Сила реакции N
--
Ускорение a
--
Вывод формул в реальном времени
Основная формула:
--Подстановка значений:
--Физическое состояние: --
Разбор типовых задач и анализ экзаменационных ошибок
Worked Problem
Условие задачи: A 100N box on a horizontal floor has μs=0.4 and μk=0.3. What is the friction when pushed with 30N? With 50N?
Пошаговый вывод формул:
- 1) Max static friction fs,max = 0.4*100 = 40N. Since 30N < 40N, the box remains static, so f = 30N. 2) 50N > 40N triggers sliding, so kinetic friction f = 0.3*100 = 30N.
Worked Problem
Условие задачи: A 5kg block rests on a 37° incline. Find the friction and normal force. (g=10m/s², sin37°=0.6, cos37°=0.8)
Пошаговый вывод формул:
- Normal force N = mg*cos37° = 5*10*0.8 = 40N; gravity downhill component Gx = mg*sin37° = 30N. Since block is at rest, static friction f = Gx = 30N uphill.
Рабочий лист для урока и домашние задания
Q1. Variant 1: A 2kg block moves uniformly under a 6N horizontal pull. Find μ. If pull increases to 10N, what is friction?
Answer Key: Uniform motion means f = 6N, μ = 6 / (2*9.8) ≈ 0.306. When pull increases to 10N, kinetic friction remains 6N.
Q2. Variant 2: Tilting an incline, the block just begins to slip at θ = 30°. Determine μs.
Answer Key: At critical slip, mg*sinθ = μs*mg*cosθ, thus μs = tan(30°) ≈ 0.577.
Q3. Variant 3: A 20N block is pressed against a vertical wall with 50N horizontal force and stays still. Find friction.
Answer Key: Vertical equilibrium requires f = G = 20N upward. The 50N push provides the normal force.
Часто задаваемые вопросы и типичные заблуждения
Does static friction always increase as push increases?
Yes, as long as the object remains static, static friction exactly equals the net applied parallel force. Once the force exceeds maximum static friction, the object begins to slip and friction drops to kinetic friction.
Why is kinetic friction coefficient typically lower than static?
Microscopically, surfaces interlock and form micro-welds at rest. Once relative motion begins, peaks shear past each other before full interlocking can occur, reducing resistance.
At what incline angle does an object slide naturally?
When tanθ > μs, the component of gravity down the slope exceeds maximum static friction. This critical angle is known as the angle of repose.
Does gripping a cup tighter increase friction?
No. In vertical equilibrium, static friction equals the weight of the cup and stays constant. Gripping tighter increases maximum static capacity, not actual friction.