AP EAMCET202315 May 2023Evening ShiftPhysicsMathematics in PhysicsActual
Two forces whose magnitudes are in the ratio 5: 3 are acting at a point at an angle 60^ simultaneously. If the resultant of the two forces is 35 ~N , then the magnitudes of two forces respectively are
Options
- A3 ~N , 5 ~N
- B25 ~N , 9 ~N
- C25 ~N , 15 ~N
- D12 ~N , 20 ~N
Correct answer
C. 25 ~N , 15 ~N
Step-by-step solution
aligned F₁ F₂ & = 5 3 F₁ & = 5 3 F₂ F_ n e t & =35 F_ net & = F₁^2+F₂^2+2 F₁ F₂ 35 & = ( 5 3 F₂ )^2+F₂^2+2 5 3 F₂^2 60 (35) & = 25 9 F₂^2+F₂^2+ 5 3 F₂^2 35 & = 49 9 F₂^2 35= 7 3 F₂ F₂ & = 3 35 7 F₂=15 N F₁ & = 5 3 15=25 N aligned