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Unformatted text preview: patel (kp9583) – HW10 – Mackie – (20211) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A uniform bar of length 18 m and mass 6 kg is attached to a wall with a hinge that exerts on the bar a horizontal force H x and a vertical force H y . The bar is held by a cord that makes a 90 ◦ angle with respect to bar and 49 ◦ with respect to wall. 1 8 m 6 k g 49 ◦ What is the magnitude of the horizontal force H x on the pivot? The acceleration of gravity is 9 . 8 m / s 2 . Correct answer: 14 . 5569 N. Explanation: Let : m = 6 kg , θ = 49 ◦ , L = 18 m , and g = 9 . 8 m / s 2 . Analyzing the torques on the bar, with the hinge at the axis of rotation summationdisplay τ = L T- parenleftbigg L 2 sin θ parenrightbigg mg = 0 T = 1 2 mg sin θ . Analyzing horizontal equilibrium on the bar, summationdisplay F x = H x- T cos θ = 0 H x- parenleftbigg 1 2 mg sin θ parenrightbigg...
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