where do the Frx and Fry values come from? If the magnitude for the resultant fo

Question

where do the Frx and Fry values come from?

If the magnitude for the resultant force acting on the plate is required to be 6 kN and its direction measured clockwise from the positive x axis is theta = 30 degree, determine the magnitude of F2, and its direction phi. Rectangular Components: By referring to Figs. a and b, the x and y components of F1, F2, F3, and FR can be written as (F1)x = 4sin30 degree = 2 kN (f2)x = F2 cos phi (F3)x = 5 (4 / 5) = 4 kN (FR)x = 6 cos30 degree = 5.196 kN (F1)y = 4 cos30 degree = 3.464 kN (F2)y = F2 sin phi (F3)y = 5 (3 / 5) = 3 kN (FR)y = 6 sin30 theta = 3 kN Resultant Force: Summing the force components algebraically along the xand y axes. +rightarrow (FR)x; 5.196 = -2 + F2 cos phi + 4 F2 cos phi = 3.196 + uparrow (FR)y; -3 = -3.464 + F2 sin phi -3 F2 sin phi = 3.464 Solving Eqs. (1) and (2), yields phi = 47.3 degree F2 = 4.71 kN

Explanation / Answer

Frx is net resultant in X direction thta is adding components of all in x direction similarly Fry

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

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