Calculate the resultant of two concurrent forces of magnitudes of
25 kN and 50 kN with included angle of 55º.
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We have to calculate the resultant of two concurrent forces of magnitude of 25 kN and 50 kN with included angle of 55°.
Solution : here two concurrent forces 25kN and 50kN are make an angle 55° with each other.
Let F₁ = 25kN , F₂ = 50 kN and Φ =. 55°
Using formula,
Resultant force, F = √{F₁² + F₂² + 2F₁F₂cosΦ}
= √{25² + 50² + 2 × 25 × 50 × cos55°}
= √{625 + 2500 + 2500 × 0.57}
= √{4550}
= 67.45 kN
Therefore the resultant of two given concurrent forces is 67.45 kN
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Step-by-step explanation:
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resultant formula 2step
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