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

Expert's answer

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.**

Learn more about our help with Assignments: MechanicsRelativity

## Comments

## Leave a comment