Question

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Answer 1

★ Question

» Two forces are such that the sum of their magnitudes is 18 N , The resultant is √228 When they are at 120° . Then the magnitude of the forces are ?

★ Given

» Sum of the forces of their magnitudes = 18 N

» resultant force = √ 228 at 120°

★ To find

» Magnitude of the two forces

★ Solution

Let the two forces be X and Y.

Given :

sum of their forces of their magnitudes = 18 N

=> X + Y = 18 ✓

We Know that the Resultant force is always perpendicular to the other forces ie, It will be in a right angled triangle with an angle of 90°.

→R = 12

→X + Y = 18

Y = 18 - X

By pythagoras theorem ,

${y}^{2} = {x}^{2} + {r}^{ {}^{2} }$

$= {(18 - x)}^{2} = {x}^{2} + {12}^{2}$

$= {18}^{2} - 36x + {x}^{2} = {x}^{2} + {12}^{2}$

$= {18}^{2} - 36x + {x}^{2} = {x}^{2} + 144$

$324 - 36x = 144$

$- 36x = 144 - 324$

$- 36x = - 180$

$\longrightarrow \: \bf \: x = 5$

X + Y = 18

5 + Y = 18

$\longrightarrow \: \bf y = 13$

Option 2 is the answer 13N,5N

» For further information Refer to the attachment !

Answer 2

Answer:

itz option 2) ...................