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Two equal forces each of magnitude 34N act on a body. Calculate the magnitude and direction of the resultant if the angle between them is 120°.
Physics
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Step-by-step solution
2 stepsHere's the solution for the two equal forces:
Given:
Magnitude of each force, N
Angle between the forces,
Calculate the magnitude of the resultant force ().
We use the formula for the resultant of two forces:
Substitute the given values:
Since :
Determine the direction of the resultant force.
When two forces of equal magnitude act on a body, their resultant force bisects the angle between them.
The angle between the forces is .
Therefore, the direction of the resultant force will be half of this angle relative to either force.The magnitude of the resultant force is and its direction is .
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