Two masses m₁ = 1 kg and m2 = 2 kg, are attached to two length ropes L. The ropes are hung at the same point to the ceiling. The mass m2 is in the equilibrium position, while the mass m1 is moved at an angle 8 to the vertical and then left free. The mass m₁ hits the mass m2 and remains attached to it; the two masses therefore describe small oscillations of period T = 4.92 s, with angular amplitude a = 12 th. Calculate the initial angle 8 and the energy lost in the impact.
Two masses m₁ = 1 kg and m2 = 2 kg, are attached to two length ropes L. The ropes are hung at the same point to the ceiling. The mass m2 is in the equilibrium position, while the mass m1 is moved at an angle 8 to the vertical and then left free. The mass m₁ hits the mass m2 and remains attached to it; the two masses therefore describe small oscillations of period T = 4.92 s, with angular amplitude a = 12 th. Calculate the initial angle 8 and the energy lost in the impact.
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