Question

A 1,500-N uniform boom at q = 63.0° to the horizontal is supported by a cable at an angle 0 = 27.0° to the horizontal as shown in the figure below. The boom is pivoted at the bottom, and an object of weight w = 2,450 N hangs from its top. OL Pivot (a) Find the tension in the support cable. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. KN (b) Find the components of the reaction force exerted by the pivot on the boom. (Assume the positive x-direction is to the right and the positive y-direction is upward. Include the sign of the value in your answer.) horizontal component Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. KN vertical component Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. KN

Answer 1

sollection from the question - to Zw=245oN 34 Prsoon ISOON LNO 63°_ Pivot from question, weight of boom & 15oon weight of block = 24son length of boom al Do we have to draw free body diagram of boom - NOU x T53127 T 10527° 47 , 24500 (vertical componen) Ny 111500w No Horizontal component Here, T is tension in string and Nx, My Normal reaction by pirof. Parta As boom is in rotationen equilibriuni, torque about pivot will be zero. formula for forane is T = Ersine or Fr so, Net torque abole

taking clockwise as the s anticlock wise are Thed to My xo + 1500 x & co S63 +2450 e 10563° - Myxo - Tke singo po of 1500 x 0.454 +2450 x0.454 = 2 2 2 75 4 1 340.49 +1112-3) = 1934.054 so tension force in string is 1937:05 part B the reaction force exerted by the pivot- how rod or Boom is in equilibrium , so Net force in x-dire ction will be reso. so, My-T COS27°= 0 Ny = 1937.05 X0.891 = 1725.9 w similarly, Net force in yo direction will be zero, as boom is in equilibrium , Wow so, My - 1500 - vor 1500- 2450 + T sin24°=0 Ny = 1500 +2450-1937.05 x 0.1218 My = 3950 -236.067 = 3713.933 y
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