Homework#4 roblem 4.102 Part A Replace the loading system acting on the post by

Question

Homework#4 roblem 4.102 Part A Replace the loading system acting on the post by an equivalent resultant force and couple moment at point A Suppose that F-850 N and F, = 450 N. (Figure 1) Determine the magnitude of the resultant force Express your answer to three significant figures and include the appropriate uni igure 1 of1 ValueUnits Submit Previous Answers Request Answer 300 N X Incorrect; Try Again; 3 attempts remaining 1500 N m 60 B 2 m Part B 5 m Determine the angle between the resultant force and the x axis Express your answer using three significant figures.

Explanation / Answer

Part A )

Rx = Fx

= F1 sin30 - F2 cos60

= 850 sin30 - 450 cos60

= 200 N

Ry = - F1 cos30 - F2 sin60 - 300

= -1425.83 N

R = ( Rx2 + Ry2 )1/2

R = ( 2002 + (-1425.83)2 )1/2

R = 1439.788 N

Part B )

= tan-1 ( Ry/Rx )

= tan-1 ( -1425.83/200 )

= 82.01o

Part C )

(MB)A = F1 cos30 X 10 + 1500 + ( 300 X 7 ) + F2 sin60 X 2

= 850 X cos30 X 10 + 1500 + 2100 + 450 X 2

(MB)A = 11.861 kN-m

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.