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Two equal forces have their resultant equal to either at what angle are they inclined?
Let θ be the angle between the two vectors A and B such that, |A| = |B|.
Therefore,
R 2 = A 2 + B 2 + 2AB cosθ
=> A 2 = A 2 + A 2 + 2(A)(A) cosθ [since, |A| = |B| = |R|]
=> A 2 = 2A 2 + 2A 2 cosθ
=> cosθ = -1/2
=> θ = 60 degrees
negative sign is not considered becaus eof the modulus sign
What else can I help you with?
Two equal forces have their resultant equal to eitherat what angle are they inclined?
The question can only be answered if the MAGNITUDE of the resultant is equal to either. Although this is not stated, if that is the case, the answer is 60 degrees.
Two equal forces f and f make an angle of 180 with each other the magnitude of their resultant is?
Zero.
What is the resultant of two forces 4N and 5N exerted at an angle 30 degrees between them?
using parallelogram principle. 15.5N
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vector. How?
Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.
Define the angle of the resultant vector?
The resultant vector is the vector that 'results' from adding two or more vectors together. This vector will create some angle with the x -axis and this is the angle of the resultant vector.
Two equal forces have their resultant equal to eitherat what angle are they inclined?
The question can only be answered if the MAGNITUDE of the resultant is equal to either. Although this is not stated, if that is the case, the answer is 60 degrees.
How is the resultant of two forces affected by the angle between the forces?
The resultant of two forces is affected by the angle between the forces through vector addition. When the forces are pointing in the same direction (angle is 0 degrees), the resultant will be the sum of the two forces. As the angle between the forces increases, the magnitude of the resultant decreases until at 90 degrees, the forces are perpendicular and the resultant is the square root of the sum of the squares of the two forces.
If the angle between two forces increases the magnitude of their resultant?
Yes, if the angle between two forces increases, the magnitude of their resultant will also increase. This is because the forces start to add up more effectively in the direction of the resultant as the angle decreases.
What is th effect on the resultant of increasing the angle between the two forces?
Increasing the angle between two forces will decrease the magnitude of the resultant force. When the angle is 180 degrees (opposite directions), the forces will cancel out, resulting in a zero resultant force. Conversely, when the angle is 0 degrees (same direction), the forces will add up, resulting in a maximum resultant force.
What was the magnitude of the resultant force when the angle between two concrete forces?
To determine the magnitude of the resultant force when the angle between two forces is known, you can use the law of cosines. The formula is: R = √(F1^2 + F2^2 + 2F1F2*cosθ), where R is the resultant force, F1 and F2 are the magnitudes of the individual forces, and θ is the angle between the forces. Plug in the values and calculate to find the magnitude of the resultant force.
What is the effect on the resultant of increasing the angle between the two forces?
The direction will change; the magnitude of the resultant force will be less.
If two identical forces are acting on a body find the angle when resultant is maximum?
Zero degrees. This essentially adds up the forces.
At what angle is the resultant force acting?
The angle of the resultant force can be calculated using trigonometry principles such as the Pythagorean theorem and inverse trigonometric functions. Given the magnitudes of the two component forces, you can determine the angle using the formula: angle = arctan(opposite/adjacent). This will help you find the direction in which the resultant force is acting.
Two equal forces f and f make an angle of 180 with each other the magnitude of their resultant is?
Zero.
What is the resultant of two forces 4N and 5N exerted at an angle 30 degrees between them?
using parallelogram principle. 15.5N
What is the relation between the resultant two froces?
When two forces act at an angle to each other, the resultant force is the single force that can replace them, producing the same effect. The resultant force is found by vector addition using the parallelogram of forces rule, which involves both the magnitude and direction of each force.
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vector. How?
Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.
