Replace the loading system by an equivalent resultant force and couple moment ac

Question

Replace the loading system by an equivalent resultant force and couple moment acting at point O. Assume F1= 150N , F2= 210N and Mc= 85N?m .
                    Part A)
                    Determine the resultant force. Enter the x, y and z components of the resultant force separated by commas.
                    
                    Part B)
                    

Replace the loading system by an equivalent resultant force and couple moment acting at point O. Assume F1= 150N , F2= 210N and Mc= 85N?m . Part A) Determine the resultant force. Enter the x, y and z components of the resultant force separated by commas.

Explanation / Answer

Please note that F_R, F1, F2, M_O, Mc are vectors in the following.

F1 = (0,-150,0) N

F2 = 210(-4/5,0,-3/5) = (-168, 0, -126) N

(A)

F_R = F1+F2 = (0,-150,0) + (-168, 0, -126)=(-168, -150,-126) N

(B)

M_O = r1 x F1 + r2 x F2 + Mc

= (0,0,0.3) x (0,-150,0) + (0,0.5,0.3) x (-168, 0, -126) + 85(-1,0,0)

=(45,0,0) + (-63,-50.4, 84) + (-85,0,0)

=(-103,-50.4,84) N.m

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---