Question

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.

Answer 1

Answer:

Explanation:

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

Answer 2

The final answer is "39 ft/s".

Determine the string's length.

$S_A +2S_B +2S_C = Constant$

Calculate the equation in terms of time.

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

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

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