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How do you determine the magnitude and the direction of the resultant of nonconcurrent forces?
The resultant (sum) of nonconcurrent forces is given by the Law of Cosines, which is the product of the vector sums and their conjugate:
C^2 = (A + B)(A + B)*=(AA* + BB* + AB* + A*B)= (AA* + BB* + 2ABcos(AB))
The angle of C is given by sin (C) =A/C sin(AB)
angle(C ) is smaller than the angle between A and B, angle(AB).
What else can I help you with?
Determine the magnitude and direction of F so that the particle is in equilibrium?
To have equilibrium, the net force acting on the particle must be zero. The magnitude of force F must be equal in magnitude (but opposite in direction) to the resultant of all other forces acting on the particle. Therefore, to determine F, you need to calculate the vector sum of all other forces acting on the particle and then determine the magnitude and direction for F.
When a rectangle is constructed in order to add velocities what represents the resultant of the velocities?
The diagonal of the rectangle represents the resultant of the velocities when added using vector addition. The magnitude and direction of this diagonal give the magnitude and direction of the resultant velocity vector.
When two equal and opposite vectors are added their resultant vector has zero magnitude what is the direction of this resultant?
The direction of the resultant vector with zero magnitude is indeterminate or undefined because the two equal and opposite vectors cancel each other out completely.
Determine the magnitude and direction of total force?
To determine the magnitude and direction of the total force, you need to consider the individual forces acting on an object. To find the total force, you can sum up the individual forces vectorially. The magnitude of the total force is the length of this resultant vector, and the direction is the angle it makes with a reference axis (e.g., the x-axis).
How do you solve for the resultant if two forces are in the same direction?
To find the resultant of two forces that are in the same direction, simply add the magnitudes of the two forces together. The resultant will have a magnitude equal to the sum of the two forces, and it will also be in the same direction as the original forces.
Determine the magnitude and direction of F so that the particle is in equilibrium?
To have equilibrium, the net force acting on the particle must be zero. The magnitude of force F must be equal in magnitude (but opposite in direction) to the resultant of all other forces acting on the particle. Therefore, to determine F, you need to calculate the vector sum of all other forces acting on the particle and then determine the magnitude and direction for F.
If all the vectors were directed in the same direction how would you determine the resultant mathematically?
Its magnitude would be the sum of all the magnitudes, and the direction would be the same as the component vectors.
When a rectangle is constructed in order to add velocities what represents the resultant of the velocities?
The diagonal of the rectangle represents the resultant of the velocities when added using vector addition. The magnitude and direction of this diagonal give the magnitude and direction of the resultant velocity vector.
When two equal and opposite vectors are added their resultant vector has zero magnitude what is the direction of this resultant?
The direction of the resultant vector with zero magnitude is indeterminate or undefined because the two equal and opposite vectors cancel each other out completely.
Determine the magnitude and direction of total force?
To determine the magnitude and direction of the total force, you need to consider the individual forces acting on an object. To find the total force, you can sum up the individual forces vectorially. The magnitude of the total force is the length of this resultant vector, and the direction is the angle it makes with a reference axis (e.g., the x-axis).
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.
Does the resultant take into account the direction of the two vectors?
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
How do you solve for the resultant if two forces are in the same direction?
To find the resultant of two forces that are in the same direction, simply add the magnitudes of the two forces together. The resultant will have a magnitude equal to the sum of the two forces, and it will also be in the same direction as the original forces.
How do we calculate resultant forces?
To calculate the resultant force, you need to add up all the individual forces acting on an object. If the forces are acting in the same direction, you simply add them up. If the forces are acting in different directions, you need to consider both the magnitude and direction of each force to determine the resultant force.
How does the resultant force change?
The resultant force changes in direction and magnitude when multiple forces act on an object. It is calculated by summing up all the individual forces acting on the object using vector addition. The resultant force will be different depending on the direction and magnitude of the individual forces.
How do you solve for Equilibrant force?
To solve for the equilibrant force in a system of forces, you must first determine the resultant force by adding all the individual forces acting on an object using vector addition. The equilibrant force is equal in magnitude but opposite in direction to the resultant force. Mathematically, you can find the equilibrant force by multiplying the magnitude of the resultant force by -1 and finding the vector in the opposite direction.
Calculate resultant velocity?
First you have to resolve all forces into vertical and horizontal. If it on a slope take the reaction force as vertical and the slope as horizontal. Then equate the opposite forces, for example the friction and the driving force, and use maths to figure out the resultant.
