if the resultant of two vectors is equal to sum of their magnitude find the angle between the vectors
Answers
Answered by
3
Angle between the vectors is 0°
Suppose two forces F are acting on a block in same direction with 0° angle between them, then resultant force on block is F + F = 2F
E.g. When a car is pushed by people in the same direction (θ = 0°) then the resultant force acting on car is Sum of forces applied by people on the car.
______________________________
If you want mathematical answer then,
R = sqrt(a² + b² + 2abCosθ)
According to question R = a + b
(a + b) = sqrt(a² + b² + 2abCosθ)
(a + b)²= a² + b² + 2abCosθ
a² + b² + 2ab = a² + b² + 2abCosθ
2ab = 2abCosθ
Cosθ = 1
θ = 0°
Suppose two forces F are acting on a block in same direction with 0° angle between them, then resultant force on block is F + F = 2F
E.g. When a car is pushed by people in the same direction (θ = 0°) then the resultant force acting on car is Sum of forces applied by people on the car.
______________________________
If you want mathematical answer then,
R = sqrt(a² + b² + 2abCosθ)
According to question R = a + b
(a + b) = sqrt(a² + b² + 2abCosθ)
(a + b)²= a² + b² + 2abCosθ
a² + b² + 2ab = a² + b² + 2abCosθ
2ab = 2abCosθ
Cosθ = 1
θ = 0°
Similar questions