User:Phys1csf4n

Equation for uniform acceleration in Double Atwood


We are able to derive an equation for the acceleration by using force analysis. If we consider a massless, inelastic string and an ideal massless pulley the only forces we can consider are the two tension forces ($$T_1, T_2$$), and the weights of the three masses ($$m_A, m_B, m_C$$). To find the accelerations we need to consider the accelerations and the forces affecting each individual mass.

We know that: $$T_1 - m_A * g = m_A * a_A$$ $$T_1 - m_B * g = m_B * a_B$$