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Connected Objects and System Analysis
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Physics
12.40 Connected Objects and System Analysis
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A nonideal Atwood machine has pulley rotational inertia I and radius R. The heavier mass m_2 moves downward without rope slip. Which set of equations is consistent with the motion?
A
m_2 g - T = m_2 a; T - m_1 g = m_1 a; T_2 = T_1
B
m_2 g - T_2 = m_2 a; T_1 - m_1 g = m_1 a; (T_2 - T_1)R = I(a/R)
C
m_2 g + T_2 = m_2 a; T_1 + m_1 g = m_1 a; (T_2 + T_1)R = I(a/R)
D
m_2 g - m_1 g = (m_1 + m_2)a; T_1 = T_2 = 0
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