ВХОД | РЕГИСТРАЦИЯ

Задача №10.8

Условие

Гармонические колебания точки определяются законом x=asin(kt+ε), где a>0 — амплитуда колебаний, k>0 — круговая частота колебаний и ε (-π≤ε≤π) — начальная фаза. Определить центр колебаний a0, амплитуду, круговую частоту, период T, частоту колебаний f в герцах и начальную фазу по следующим уравнениям движения (x — в сантиметрах, f — в секундах):
1) x = -7 cos 12t.
2) x = 4 sin (πt/20) - 3 cos (πt/20).
3) x = 2 - 4 sin 140t.
4) x = 6 sin2 18t.
5) x = 1 - 4 cos2 (πt/60).

Решение





Предыдущая задача №7
При соответствующем выборе осей координат уравнения движения электрона в постоянном магнитном поле определяются равенствами x=asinkt, у=acoskt, z=vt, где a, k и v — некоторые постоянные, зависящие от напряженности магнитного поля, массы, заряда и скорости электрона. Определить траекторию электрона и закон движения его по траектории.
Следующая задача №9
Груз, поднятый на упругом канате, колеблется согласно уравнению x=asin(kt+Зπ/2), где a — в сантиметрах, k — в рад/с. Определить амплитуду и круговую частоту колебаний груза, если период колебаний равен 0,4 с и в начальный момент x0=-4 см. Построить также кривую расстояний.
Источник: Решебник Мещерского 12 класс
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1.1
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2.1
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49.1
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55.6
55.7
55.8
55.9
55.10
55.11
55.12
55.13
55.14
55.15
55.16
55.21
55.25
55.38
55.41
55.44
56.3
56.7
56.9

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