Answer:
Step-by-step explanation:
To find the resultant of two forces when given an angle, you can use the two-dimensional vector addition method. Here are the steps to follow:
Represent each force as a vector. The magnitude of each vector should be equal to the magnitude of the force, and the direction of each vector should be equal to the direction of the force.
Place the vectors on a coordinate plane with their tails at the origin and their tips pointing in the direction of the forces.
Find the x and y components of each vector using trigonometry. For example, if the angle between the x-axis and the vector is θ, then the x-component of the vector is equal to the magnitude of the vector times cos(θ) and the y-component of the vector is equal to the magnitude of the vector times sin(θ).
Add the x and y components of the two vectors to find the x and y components of the resultant vector.
Use the Pythagorean theorem to find the magnitude of the resultant vector. The magnitude of the resultant vector is equal to the square root of the sum of the squares of the x and y components.
Find the direction of the resultant vector by finding the inverse tangent (tan^-1) of the ratio of the y-component of the resultant vector to the x-component of the resultant vector.
The final result is the vector that starts at the origin and ends at the point determined by the x and y components of the resultant vector, with a magnitude equal to the magnitude of the resultant vector and a direction equal to the direction of the resultant vector.
By using this method, you can find the magnitude and direction of the resultant of two forces given an angle between them.