Дано:
а = 3,9 м/с²
Fтр = 1 H
g = 10 м/с² - ускорение свободного падения
Найти:
α - угол наклона плоскости к горизонту
m - массу диска
Угловое ускорение диска
ε = а : R (R - радиус диска)
Момент инерции диска относительно оси, проходящей через его центр перпендикулярно плоскости диска
J = 0.5mR²
Уравнение вращательной части движения диска
J · ε = F тр · R
0.5mR² · а : R = F тр · R
0.5 ma = F тр
m = 2 Fтр : a
m = 2 · 1 : 3.9 ≈ 0.512 (кг)
Уравнение поступательной части движения диска
ma = mg · sin α - F тр
sin α = (ma + F тр) : mg
sin α = (0.512 · 3.9 + 1) : (0.512 · 10) = 0,585
α ≈ 35,8°
Угол наклона плоскости к горизонту α ≈ 35,8°
Масса диска m ≈ 0.512 кг
pererіau 2.8 mm
Объяснение:
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