Two forces are applied to ring of a force table, one at an angle 20.0 degrees and the other at an angle of 80.0 degree. Regardless of magnitudes of the forces choose the corect response below. The equilibrant will be in the (a) first qudrant (b) second quadrant (c) thrid quadrant (d) fourth quadrant (e) cannot tell from the avabilable information
3rd quadrant
To determine the quadrant in which the equilibrant will be, we need to understand the concept of equilibrant force.
In a force table setup, forces are represented by vectors. The equilibrant force is a vector that is equal in magnitude but opposite in direction to the resultant of all the other forces acting on the object. It is the force required to balance out the other forces and achieve equilibrium.
Given that two forces are applied at angles of 20.0 degrees and 80.0 degrees, we can draw a vector diagram to represent these forces.
Let's assume that Force A is applied at 20.0 degrees and Force B is applied at 80.0 degrees. We can draw these forces as vectors originating from the center of the force table.
Next, we can determine the resultant of these forces by adding the vectors head-to-tail. The equilibrant force will have the same magnitude but the opposite direction to the resultant.
Now, if we draw the resultant vector, we can see that it will point towards a specific quadrant on the coordinate plane. Depending on the magnitude and direction of the forces, the resultant vector might point in the first, second, third, or fourth quadrant.
Since we don't know the magnitudes of the forces, we cannot determine the specific quadrant in which the resultant vector points. As a result, we cannot determine the quadrant in which the equilibrant force will be either.
Therefore, the correct response is:
(e) cannot tell from the available information.
To determine the quadrant in which the equilibrant will be, we need to consider the angles of the two forces being applied:
- The force at an angle of 20.0 degrees will be in the first quadrant.
- The force at an angle of 80.0 degrees will be in the first quadrant.
Since both forces are in the first quadrant, the equilibrant will also be in the first quadrant. Therefore, the correct response is (a) first quadrant.