Forces {F₁} and {F₂} act on a point mass in two mutually perpendicular directions. resultant for

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3-1.Vectors

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Forces ${F_1}$ and ${F_2}$ act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be

A${F_1} + {F_2}$

B${F_1} - {F_2}$

C$\sqrt {F_1^2 + F_2^2} $

D$F_1^2 + F_2^2$

Solution

(c)$F = \sqrt {F_1^2 + F_2^2 + 2{F_1}{F_2}\cos 90^\circ } $$ = \sqrt {F_1^2 + F_2^2} $

Standard 11

Physics

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