JEE Main202127 Aug 2021Morning ShiftPhysicsMathematics in PhysicsActual
The resultant of these forces O P → , O Q → , O R → , O S → and O T → is approximately ______ N . [Take 3 = 1 . 7 , 2 = 1 . 4 Given i ^ and j ^ unit vectors along x , y axis]
Options
- A- 1 . 5 i ^ - 15 . 5 j ^
- B9 . 25 i ^ + 5 j ^
- C3 i ^ + 15 j ^
- D2 . 5 i ^ - 14 . 5 j ^
Correct answer
B. 9 . 25 i ^ + 5 j ^
Step-by-step solution
Resultant ( R → ) = i ^ 10 cos 30 ° + 20 cos 60 ° - 15 cos 30 ° - 15 cos 45 ° + 20 cos 45 ° + j ^ 10 sin 30 ° + 20 sin 60 ° + 15 sin 30 ° - 15 sin 45 ° - 20 cos 45 ° = 9 . 25 i ^ + 5 j ^