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ID: 1790868 • Letter: P
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previous | 1 of 3 next » Quantitative Prelecture Video: Static Equilibrium Part B Click Play to watch the video below. Answer the ungraded questions in the video and the graded follow-up questions at right A 4-m long, 150-kg steel beam is attached to a wall with one end connected to a hinge that allows the beam to rotate up and down. The other end of the beam is held in a horizontal position with a cable that makes a 27° angle with the beam and is attached to the wall. A mass of 75 kg is hung from the beam 3 meters away from the hinge (see (Figure 2)). Now what is the tension force that keeps this beam in static equilibrium? 1440 N 1210 N 2830 N O 405 N O 1620 N Submit My Answers Give Up Part C Figure 2012 A 4-m long, 150-kg steel beam is attached to a wall with one end connected to a hinge that allows the beam to rotate up and down. The other end of the beam is held in a horizontal position with a cable that makes a 27 angle with the beam and is attached to the wall. A mass of 75 kg is hung from the beam 3 meters away from the hinge (see (Fiaure 2)) What is the vertical component of the force that the hinge exerts on the beam? 2200 N 920N IN 1290 N Submit My Answers Give UpExplanation / Answer
(A) Applying momen balance about hinge point,
M = (2 x 150 x 9.81) + (3 x 75 x 9.81 ) - (4 T sin27) = 0
T = 2836 N ......Ans
(C) balancing forces in vertical directio,
Tsin27 + Fy - (150 + 75)x9.81 = 0
Fy = 919.7 N
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