Answer to Question #103987 in Mechanics | Relativity for Akinlua Richard

Question #103987
Particles of mass m1 and m2 (m2>m1) are connected by a large inextensible string passing over a smooth fixed pulley. Initially both masses hang vertically with mass m2 at a height X above the floor. If the system is released from rest, what speed will mass m2 hit the floor and the mass m1 will rise a further distance (m2-m1)x/m1+m2 after this occurs
1
Expert's answer
2020-03-02T09:09:33-0500

Let's use the law of conservation of energy.


"m_2gh=\\frac{m_2 v^2}{2}"


"h=\\frac{m_2-m_1}{m_2+m_1}x"


"m_2g\\frac{m_2-m_1}{m_2+m_1}x=\\frac{m_2 v^2}{2}\\to v=\\sqrt{2g\\frac{m_2-m_1}{m_2+m_1}x}" Answer.




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