AP EAMCET202125 Aug 2021Evening ShiftPhysicsLaws of MotionActual
An object is in equilibrium when four concurrent forces, acting in the same plane are in the directions shown in the figure. Find the magnitudes of F₁ and F₂ .
Options
- A2 3 ~N and 20 3 ~N
- B4 3 ~N and 20 3 ~N
- C3 2 ~N and 3 20 ~N
- D4 3 ~N and 10 3 ~N
Correct answer
B. 4 3 ~N and 20 3 ~N
Step-by-step solution
The object is in equilibrium, Hence, F_x=0 and F_y=0 From the given figure, array ll & F_x=0 & 8+4 60^ -F₂ 30^ =0 & 8+2-F₂ 3 2 =0 & F₂= 20 3 ~N array Also F_y=0 array cc & F₁+4 60^ -F₂ 30^ =0 & F₁+ 4 3 2 - F₂ 2 =0 & F₁= F₂ 2 -2 3 = 10 3 -2 3 & = 4 3 ~N array Hence, F₁= 4 3 ~N and F₂= 20 3 ~N