Question

The resultant of two equal forces is 141.4N when they are mutually perpendicular. When they are inclined at an angle 0 60 ,then the resultant force will be 1. 173.2 N 2. 141.4 N 3. 196 N 4. zero

Answer 1

Given that,

Resultant force = 141.4 N

Inclined angle = 60°

We need to calculate the force

Using formula of resultant force

$F_{r}=\sqrt{2}F$

$F=\dfrac{F_{r}}{\sqrt{2}}$

Put the value into the Formula

$F=\dfrac{141.4}{\sqrt{2}}$

$F=100\ N$

We need to calculate the resultant force

Using formula of resultant force

$F'= \sqrt{F_{1}^2+F_{2}^2+2F_{1}F_{2}\cos\theta}$

$F'=\sqrt{3}F$

Put the value into the formula

$F'=\sqrt{3}\times100$

$F'=173.2\ N$

Hence, The resultant force will be 173.2 N.

(1) is correct option

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Topic : resultant force

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