If block A of the pulley system is moving downward at 6 ft>s while block C is moving down at 18 ft>s, determine the relative velocity of block B with respect to C.

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Answer:

Explanation:

The detailed steps and appropriate calculation with analysis is as shown in the attachment.

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The final answer is "39 ft/s".

Determine the string's length.

[tex]S_A +2S_B +2S_C = Constant[/tex]

Calculate the equation in terms of time.

[tex]v_A+2v_B +2v_c =0 \\\\6 +2v_B +2(18)=0 \\\\2v_B = -42 \\\\V_B =-21 \frac{ft}{s}[/tex]

Calculate the relative velocity of B with respect to C.[tex]V_B = v_c + V_{\frac{B}{C}} \\\\-21=18+ V_{\frac{B}{C}} \\\\ V_{\frac{B}{C}}= -39 \ \frac{ft}{s} = 39 \ \frac{ft}{s} \uparrow[/tex]

Find out more information about the velocity here:

brainly.com/question/15088467

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