Question

1. three blocks are connected by strings and pulled to the right by a force with magnitude $f_0$, as shown in the figure above. all frictional forces are negligible. the tension in the right and left strings have magnitudes $t_1$ and $t_2$ respectively.

taking the positive direction to be toward the right, derive a correct equation of motion for the block of mass $m_2$.

Explanation:

Step1: Identify forces on $m_2$

Forces: $T_1$ (right), $T_2$ (left)

Step2: Apply Newton's 2nd Law

Net force = mass × acceleration: $T_1 - T_2 = m_2 a$

Answer:

$T_1 - T_2 = m_2 a$