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.

Question

Arun · Answer

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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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.

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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.

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