(Solved): The device shown below is the Atwood's machine considered in Example 6.5. Assuming that the masses ...

The device shown below is the Atwood's machine considered in Example 6.5. Assuming that the masses of the string and the frictionless pulley are negligible, (a) find an equation for the acceleration of the two blocks; (b) find an equation for the tension in the string; and (c) find both the acceleration and tension when block 1 has mass \( 1.2 \mathrm{ko} \) and hlnck 7 has mass \( 3.5 \mathrm{~kg} \). a. In terms of \( m_{1}, m_{2}, g \), and other constants necessary, the magnitude of the acceleration of the two blocks is \( a= \) . (Use underscore ("_") to type subscripts. For example, to type \( m_{1} \), type "m_1".) b. In terms of \( m_{1}, m_{2}, g \), and other constants necessary, the magnitude of the tension is \( T= \) c. With \( m_{1}=1.2 \mathrm{~kg} \) and \( m_{2}=3.5 \mathrm{~kg} \), the numerical values of acceleration and tension are \( a= \) \( \mathrm{m} / \mathrm{s}^{2} \) and \( T= \) N.