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Four forces of magnitude p,2p,3p and 4p act along the four sides of a square ABCD in cyclic order. Find the resultant force using vector method.

Four forces of magnitude p,2p,3p and 4p act along the four sides of a square ABCD in cyclic order. Find the resultant force using vector method.

Grade:11

1 Answers

Arun
25763 Points
3 years ago
The resultant of  forces along  AB and CD :  p - 3p =  - 2p  = P
this is along  CD direction
resultant of forces along  BC and DA :  2p - 4p  = - 2p  = Q
this is along DA direction.
since P and Q are equal in magnitude and are perpendicular to each other , it is easy to find the resultant.
The resultant of forces P and Q will be    √2 2 p  
the direction is  45 deg. to either  DA or BA.

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