The rod of the fi xed hydraulic cylinder is moving tothe left with a speed of 100 mm /s

Chapter 3, Problem 3/45

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The rod of the fixed hydraulic cylinder is moving to the left with a speed of \(100 \mathrm{~mm} / \mathrm{s}\), and this speed is momentarily increasing at a rate of \(400 \mathrm{~mm} / \mathrm{s}\) each second at the instant when \(s_A=425 \mathrm{~mm}\). Determine the tension in the cord at that instant. The mass of slider B is \(0.5 \mathrm{~kg}\), the length of the cord is \(1050 \mathrm{~mm}\), and the effects of the radius and friction of the small pulley at A are negligible. Find results for cases (a) negligible friction at slider B and (b) \(\mu_k=0.40\) at slider B. The action is in a vertical plane.