Question

A purple bear is hinged to a wall to hold up a blue sign. The beam has a mass of 6kg and the sign has a mass of my - 16.1 kg. The length of the beam is L - 2.76 m. The sign is attached at the very end of the beam, but the horizontal wire holding up the beam is attached 2/3 of the way to the end of the beam. The ange the wire makes with the beam is 0 - 30.2". 1) What is the tension in the wire N Submit You currently have submissions for this question. Only 10 submission are allowed You can make 10 more submissions for this question. 2) What is the net force the hinge exerts on the beam Submit You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question 3) The macimum tension the wire can have without breaking is T = 946 N. What is the maximum mass sign that can be hung from the beam? kg Submit You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question 4) What else could be done in order to be able to hold a heavier sign? while sest keeping it horitzontal, attach the wire to the end of the beam keeping the wire attached at the same location on the beam, make the tre perpendicular to the beam attach the sign on the beam closer to the wall shorter the length of the wire attaching the box to the beam

Answer 1

Given that of the beam mo=6kg * mass of sigo mg = 16.1kg * mass h 2.76m * Length of the beam * Angle O = 30.2° have we Since the O = Fret beam is not moving, - Forer Ž+ B + The Toek R + 7 + 7 + 7 Fot In coordioakes 0 T- Fr. 3 Fry-mg -moi 0áng coso - seno the magcoso → 3 (moramog 4 tono Eq3 T = T- 3(6 + 2x16.1) * 9.81 4 kan 30.00 T = 48a-03 N

around the formula for He tension a]. Components of hinge force are Fhze: = T : Fry = (mg+mg Fn = √ Fra => + Cmst moage Frey 2 2 Fn = 9 9 (mbt ams)? 16 tanto + (mat mp3 3 Fa = = 9.81 9 (38.2)2 16 kar 30.20 + (22.222 Fn = 529.3 N 37 Turning - ms, max a Troaza taso 3g mb 2 ax 946 x tan 30.9 msimon lejos 3x9.81 msi man = 34.41 kg

Skill keeping at 47* while horizontal, attach of the bearm wire to the End the * Keeping the beam, on Location Wive altached at the same the make the wire to the beam the beam closer to the perpendicular to Sign * attach the wall