Question

the maximum value of resultat vector is 5 N and the minimum value is 1 N find the resultant of the forces when they act at 60 °​

Answer 1

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→ Given : The maximum value of resultant vector is 5 N and the minimum value is 1 N find the resultant of the forces when they act at 60 °​

→ Answer:

Given that ,

$|F_1|+|F_2|=5N\\\\|F_1|-|F_2|=1N$

By solving these two eqs , we get ,

$|F_1|+|F_2|-|F_1|+|F_2|=5-1\\\\=> 2|F_2|=4\\\\=>|F_2|=2N\\\\|F_1|=3N$

Given , $\theta=60^{0}$

$Resultant,|F_{net}|=\sqrt{F_1^2+F_2^2+2F_1F_2.cos\theta} \\\\=>|F_{net}|=\sqrt{3^2+2^2+2(3)(2)cos(60)} \\\\=>|F_{net}|=\sqrt{9+4+6}\\\\ =>|F_{net}|=\sqrt{19} N$

So the resultant of the forces when they act at 60 °​ is $\sqrt{19} Newtons$

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