Replace the loading by an equivalent resultant force and couple moment acting at point (Figure 1). Assume F = 400 N, F = 800 N, and Mc = 85 N. m. Part A Figure 0.3 m F 0.5 m 0.4 m Mc Determine the resultant force. Express the x, y and z components of the resultant force in newtons to three significant figures separated by commas. View Available Hint(s) Hint 1. Simplification of a force and couple system Recall that a system of several forces and couple moments acting on a body can be reduced to an equivalent single resultant force FR acting at a point O and a resultant couple moment (Mo)R by using the following two vector equations: FR - (MO)R + where Mo is the sum of all of the moments of forces about point O, and M is the sum of all the couple moments. Hint 2. Force summation Consider representing each force as a Cartesian vector before summing the forces. Recall that the equivalent single resultant force of a system is given as FR = F. vec 1 of 1 (FR). (FR)y (FR):= 64,400, -48 Submit Previous Answers Request Answer Incorrect; Try Again; 5 attempts remaining Part B ? N Determine the couple moment acting at point O. Express the x, y and x components of the couple moment in newton-meters to three significant figures separated by commas. View Available Hintal Replace the loading by an equivalent resultant force and couple moment acting at point (Figure 1). Assume F = 400 N, F = 800 N, and Mc = 85 N. m. Part B Figure 0.3 m 0.5 m 0.4 m Mc 1 of 1 Determine the couple moment acting at point O. Express the x, y and x components of the couple moment in newton-meters to three significant figures separated by commas. View Available Hint(s) Hint 1. Simplification of a force and couple system Recall that a system of several forces and couple moments acting on a body can be reduced to an equivalent single resultant force FR acting at a point and a resultant couple moment (Mo)R by using the following two vector equations: FR - (Mo) = o+ where Mo is the sum of all of the moments of forces about point O, and M is the sum of all the couple moments. Hint 2. Finding the moment of a force around a point Recall that the moment equation about a point O can be written in determinant form as Mo=rx F i j k Tz where F, F, F Tz, Ty, Tz represent the x, y, z components of the position vector drawn from O to any point on the line of action of the force; Fr. Fy, Fz represent the x, y, z components of the force vector. vec (Mo)z (Mo)y (Mo)== Submit Request Answer Provide Feedback ? N-m Next >