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Work Done When Force Is Varying

Forces propor...

Question

Forces proportional to $A B, B C$ and $2 C A$ act along the sides of triangle $A B C$ in order. Their resultant represented in magnitude and direction as

A

- - \to C A

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B

- - \to A C

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C

- - \to B C

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D

- - \to C B

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Solution

The correct option is A $- - \to C A$
For triangle $A B C : - - \to A B + - - \to B C + - - \to C A = \to 0$
Now $- - \to A B + - - \to B C + 2 - - \to C A$
$= - - \to A B + - - \to B C + - - \to C A = \to 0 + - - \to C A = - - \to C A$

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