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P13 017

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Léo Ribeiro
Léo Ribeiro
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17. The cable that goes around the lowest pulley is cable 1 and has tension T1 = F . That pulley is supported by the cable 2 (so T2 = 2T1 = 2F ) and goes around the middle pulley. The middle pulley is supported by cable 3 (so T3 = 2T2 = 4F ) and goes around the top pulley. The top pulley is supported by the upper cable with tension T , so T = 2T3 = 8F . Three cables are supporting the block (which has mass m = 6.40 kg): mg T1 + T2 + T3 = mg =⇒ F = = 8.96 N . 7 Therefore, T = 8(8.96) = 71.7 N.

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P13 017

  • 1. 17. The cable that goes around the lowest pulley is cable 1 and has tension T1 = F . That pulley is supported by the cable 2 (so T2 = 2T1 = 2F ) and goes around the middle pulley. The middle pulley is supported by cable 3 (so T3 = 2T2 = 4F ) and goes around the top pulley. The top pulley is supported by the upper cable with tension T , so T = 2T3 = 8F . Three cables are supporting the block (which has mass m = 6.40 kg): mg T1 + T2 + T3 = mg =⇒ F = = 8.96 N . 7 Therefore, T = 8(8.96) = 71.7 N.