Question

FOU UN poly LUNCL. Y dydi. A triangular plate is supported by a cable at A and a hinge at B. Its weight of 320 N acts at the plate's center of gravity, as shown. If the plate is in equilibrium, determine the tension in the cable and the loads acting on the plate at the hinge. 2 m m 0.3 m 1.4 m W В 6 m TE N F = k) N M= + k) N.m A Division of John Wiley & Sons, Inc. Version 4.24

Answer 1

MBZ Sol! G Draw FBD 30.3m J Mex B l-um х W (civer) so W = 32ON Gm Reaction at B Fo= √ Rx ² + by +R y-axis exis at B Taking moment about ( EMB=0 TX6 WX2=o TX6= 320X2 T - 320X2 =106.67 N. 6 IT = 106.67N Apply equilibrium force equation - 1Rx=0 - Ry zo E220 T-W+ R2 =0 R2 =213-33N Now & Fx=0 EFy=0 Rza W-T = 320-106.67

.: FB = √²+0² + 213.33 = 213.33 ÊN 11Fo1= 213.33 N Now moment eam equations. GEMx = Mox +W (0.3) - T (2+0.3) = 0 MB x = 106.667 X 23 - 320x0.3 . hox 149.33 N-ml +MBZ co G+ M2 = 0 MB2 = of Nm MB = (149.33î to ř) N-m,