Forces F_1 and F_2 act on a point mass in two | vedclass

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Question

(C) When two vectors act at an angle $	heta$ to each other,their resultant magnitude is given by the formula $R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2 \cos

Vedclass · Accepted Answer

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

Vedclass · Answer

(C) When two vectors act at an angle $	heta$ to each other,their resultant magnitude is given by the formula $R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2 \cos 	heta}$.Since the forces are mutually perpendicular,the angle between them is $	heta = 90^\circ$.Substituting $\cos 90^\circ = 0$ into the formula:$R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2(0)}$$R = \sqrt{F_1^2 + F_2^2}$.Therefore,the correct option is $C$.

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

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