Q/ Find the resultant (R) and the direction (N) of the two forces shown in Figure below ? The angle (N) is measured between (R) and the x-axis. O 4 kN 50° 30° y 30° 6 kN Resultant = 6 KN & Direction = 60 Resultant = 6.61 KN & Direction = 66.6 Resultant = 6.61 & Direction = 60

a) Express F1, F2, and F3 in Cartesian form.b) Find the resultant moment about point A using the scalar method.c) Find the resultant moment about point B using the vector method. Express your answer in Cartesian form

Q) A simplified model as shown in figure below of a planar robotic arm. You may assume that each segment has length 1.5 m, and the applied force is 250 N. 01 = 35° and 02 = 03 = 20°. Calculate the moment that the force, F, exerts about the point A. F B 02 O3 A

a) What are the tensions in each of the 4 cables supporting the lamp, if the lamp weighs 40 Ibs and the coordinate direction angles for Cable B are a = 95°, ß = 140° and y = 50.44°? Cable B Cable A 30 50 Cable C 3 ft Cable D b) Using the figure above, determine the maximum weight of the lamp if no cable can support more than 75 Ibs of tension? You can reuse the Cartesian force vector expressions for TA, TB And TC From part a. you do not need to derive them again for this part.