p13_017.pdf

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Chapter 13 - 13.17
17. The cable that goes around the lowest pulley is cable 1 and has tension T 1 = F . That pulley is supported
by the cable 2 (so T 2 =2 T 1 =2 F ) and goes around the middle pulley. The middle pulley is supported
by cable 3 (so T 3 =2 T 2 =4 F ) and goes around the top pulley. The top pulley is supported by the
upper cable with tension T ,so T =2 T 3 =8 F . Three cables are supporting the block(which has mass
m =6 . 40kg):
F = mg
7
T 1 + T 2 + T 3 = mg =
⇒
=8 . 96 N .
Therefore, T =8(8 . 96) = 71 . 7N.

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