At what angle three forces of equal magnitude may act so that resultant is zero
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ANSWER:-
Three equal forces must be equally inclined to each other. Therefore the angle between any two forces is 360/3 = 120 °
If the resultant of three forces is zero, each three force is the equilibrant of the other two forces.
In otherwords the resultant of any two forces is equal but opposite to the third force.
The resultant R of two equal forces P and P with an angle θ between them is found from
R^2 = 2P^2 + 2P^2 cos θ
If Q is the third force Q = R = P
Q^2 = R^2 = P^2 = 2P^2 + 2P^2 cos θ
cos θ = -(1/2)
θ = 120 °
Angle between any two forces is 120°.
PLEASE MARK AS BRAINLIEST
Three equal forces must be equally inclined to each other. Therefore the angle between any two forces is 360/3 = 120 °
If the resultant of three forces is zero, each three force is the equilibrant of the other two forces.
In otherwords the resultant of any two forces is equal but opposite to the third force.
The resultant R of two equal forces P and P with an angle θ between them is found from
R^2 = 2P^2 + 2P^2 cos θ
If Q is the third force Q = R = P
Q^2 = R^2 = P^2 = 2P^2 + 2P^2 cos θ
cos θ = -(1/2)
θ = 120 °
Angle between any two forces is 120°.
PLEASE MARK AS BRAINLIEST
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1
Answer:
angle between them is 120
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