- #1

Ocata

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- 5

## Homework Statement

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?

## Homework Equations

F=ma

## 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?