5 blocks connected by strings of negligible masses are suspended from a ceiling by a string of negligible mass. The strings and masses in order from bottom to top are M1, S1, M2, S2, M3, S3, M4, S4, M5, S5
M1 = 2kg
M2 = 1kg
M3 = 1kg
M4 = 2kg
M5 = 10kg
What are the tensions on S1, S2, S3, S4 and S5?
The Attempt at a Solution
Net Force is 0 because the system isn't accelerating.
T_1 = (m_1)a = 2kg(g) = 19.6N
T_2 = (m_1)a + (m_2)a = 2kg+1kg(g) = 29.4N
T_3 = (m_1)a + (m_2)a + (m_3)a = 2kg+1kg(g) + 1kg(g) = 39.2N
T_4 = (m_1)a + (m_2)a + (m_3)a + (m_4)a = 2kg + 1kg(g) + 1kg(g) + 2kg(g) = 58.8N
T_5 = (m_1)a + (m_2)a + (m_3)a + (m_4)a + (m_5)a = 2kg + 1kg(g) + 1kg(g) + 2kg(g) + 10kg(g) = 156N
Supposing this is correct, if we treat all the blocks as one system, the force vector upward from M_5 pointing toward the ceiling and the force vector downward from M_1 pointing toward the ground would both be 156N, yes?