Three forces acting at a point keep it in equilibrium . If the angle between two of the forces , 3 N and 3 Nis 120°, then the th
1 answer:
Answer:
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Explanation:
The force necessary to maintain equilibrium depends on the directions of the two forces that are separated by 120°. If both are pointing toward or away from the point, the third force will be pointing that same direction. It will be 120° from the other two, and the same magnitude (3 N).
If the one of the two forces is pointing toward, and the other is pointing away, then the third force will have magnitude 3√3 N, and will be 30° from one of the other forces. This is illustrated in the 2nd attachment.
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Answer:
Explanation:
The force on the point charge q exerted by the rod can be found by Coulomb's Law.
Unfortunately, Coulomb's Law is valid for points charges only, and the rod is not a point charge.
In this case, we have to choose an infinitesimal portion on the rod, which is basically a point, and calculate the force exerted by this point, then integrate this small force (dF) over the entire rod.
We will choose an infinitesimal portion from a distance 'x' from the origin, and the length of this portion will be denoted as 'dx'. The charge of this small portion will be 'dq'.
Applying Coulomb's Law:
The direction of the force on 'q' is to the right, since both charges are positive, and they repel each other.
Now, we have to write 'dq' in term of the known quantities.
Now, substitute this into 'dF':
Now we can integrate dF over the rod.