two forces f1 and f2 are acting at a point such that the angles between them are (1) 30 degree (2) 60 degree and (3) 45 degree show that resultant forces will be
To find the resultant force when two forces are acting at a point, you can use the method of vector addition. This involves finding the sum of the forces using their respective magnitudes and directions.
1) When the angle between the forces is 30 degrees:
To find the resultant force, you need to calculate the sum of the forces using vector addition.
Let F1 be the magnitude of force f1 and F2 be the magnitude of force f2.
To calculate the resultant force, you can use the following equation:
Resultant force (R) = sqrt((F1^2) + (F2^2) + 2F1F2cosθ)
In this case, since the angle between the forces is 30 degrees, θ = 30 degrees.
Therefore, the resultant force (R) = sqrt((F1^2) + (F2^2) + 2F1F2cos30°)
2) When the angle between the forces is 60 degrees:
Using the same equation as above, but this time setting θ = 60 degrees:
Resultant force (R) = sqrt((F1^2) + (F2^2) + 2F1F2cos60°)
3) When the angle between the forces is 45 degrees:
Using the same equation as above, but this time setting θ = 45 degrees:
Resultant force (R) = sqrt((F1^2) + (F2^2) + 2F1F2cos45°)
In each case, you would substitute the values of F1 and F2 into the equation and calculate the resulting magnitude of the resultant force.