MasteringPhysics: HW 12 (Ch. 12/13) ! https://session.mastering 269018 HW 12 (Ch
ID: 1792876 • Letter: M
Question
MasteringPhysics: HW 12 (Ch. 12/13) ! https://session.mastering 269018 HW 12 (Ch. 1213) Problem 12.36 «previous | 3 of 14 | next Problem 12.36 Part A A crane in a marble quarry is mounted on the rock walls of the quarry and is supporting a 2000 kg slab of marble as shown in the figure. The center of mass of the 800 kg boom is located one-third of the way from the pivot end of its 15-m length, as shown (Eigure 1) Find the tension in the horizontal cable that supports the boom. T- kN Submit My Answers Give Up Foure1 Bof Figure 1 Incorrect; Try Again; 5 attempts remaining CM ke etExplanation / Answer
tension in vertical string = 2000 g = 2000 x 9.8 N
balancing moment about the hinge point, (moment = r x F = r F sin(theta))
M = (L/3 x 800 x 9.8 x sin(90-50) ) + (L x 2000 x 9.8 x sin(90-50)) - ( L T sin50) = 0
T = ( 800/3 + 2000)(9.8 sin40) / sin50
T = 18640 N .........Ans