HW7 Solution

HW7 Solution - lew (dl9564) hk7 Opyrchal (41104) This...

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lew (dl9564) – hk7 – Opyrchal – (41104) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points Given: A massless beam supporting two weights as shown in the fgure below. 964 N W L 4 L 4 L 2 L A B ±ind W such that the supporting Force at A is zero. Correct answer: 482 N. Explanation: Let : W 1 = 964 N and W 2 = W . When F A = 0, the clockwise torque will equal the counterclockwise torque at the equi- librium point O, that is W 1 L 4 = W 2 L 2 . Solution: W 2 = 1 2 W 1 = 1 2 (964 N) = 482 N . 002 (part 1 oF 2) 10.0 points The uniForm diving board shown in fgure has a mass oF 26 kg . The acceleration oF gravity is 9 . 81 m / s 2 . A B 1 . 1 m 3 . 3 m ±ind the Force on the support A when a 71 kg diver stands at the end oF the diving board. Correct answer: 2 . 34459 kN. Explanation: Let : m = 26 kg , M = 71 kg , = 4 . 4 m , x 1 = 1 . 1 m , and x d = 3 . 3 m . Consider rotational equilibrium about B : A F A F B B mg M g x 1 x 2 x 3 x d x 2 = 2 - x 1 = 1 . 1 m Applying rotational equilibrium at point B , s v τ = F A x 1 - mg x 2 - M g x d = 0 F A = p x 2 m + x d M x 1 P g = b (1 . 1 m) (26 kg) + (3 . 3 m) (71 kg) 1 . 1 m B × (9 . 81 m / s 2 ) × 1 kN 1000 N = 2 . 34459 kN .
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HW7 Solution - lew (dl9564) hk7 Opyrchal (41104) This...

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