Two blocks of different mass are connected by a massless rope which goes over a massless,...
Two blocks of different mass are connected by a massless rope which goes over a massless, frictionless pulley. The rope is free to move, and both of the blocks hang vertically. What is the magnitude of the tension in the rope?
Homework Answers
Assuming that there is no friction of the pulley, we have...
m_1 * g - T = m_1a
T - m_2 * g = m_2a
Now...
T - m_1 * g = -m_1a
T - m_2 * g = m_2a
2T = m_2a - m_1a + g(m_1 + m_2)
T = (m_2a - m_1a + g(m_1 + m_2))/2
Assuming that there is no friction of the pulley, we
have...
m_1 * g - T = m_1a
T - m_2 * g = m_2a
Now...
T - m_1 * g = -m_1a
T - m_2 * g = m_2a
2T = m_2a - m_1a + g(m_1 + m_2)
T = (m_2a - m_1a + g(m_1 + m_2))/2
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