The resultant of two forces 2 KN and 6 kN which are acting at an angle

1.	The resultant of two forces 2 KN and 6 kN which are acting at an angle 300 is
Answer» Units are not written in calculation. Answer: 2√13 kN. Explanation: 300° can be written as 360° - 60° ⇒ 2π - 60°. We know, period of cosine is 2π, so cos( 300° ) will be as same as cos( - 60° ) which is cos( 60° ), SINCE cos( - 60° ) = cos( 60° ). Resultant of those forces : ⇒ √[(2)^2 + (6)^2 + 2(26cos60°)] ⇒ √[ 4 + 36 + 2(261/2)] ⇒ √[ 40 + 12 ] ⇒ √52 ⇒ 2√13 HENCE, resultant is 2√13 kN.

The resultant of two forces 2 KN and 6 kN which are acting at an angle 300 is

Answer»

Units are not written in calculation.

Answer:

2√13 kN.

Explanation:

300° can be written as 360° - 60° ⇒ 2π - 60°.

We know, period of cosine is 2π, so cos( 300° ) will be as same as cos( - 60° ) which is cos( 60° ), SINCE cos( - 60° ) = cos( 60° ).

Resultant of those forces :

⇒ √[(2)^2 + (6)^2 + 2(2*6*cos60°)]

⇒ √[ 4 + 36 + 2(2*6*1/2)]

⇒ √[ 40 + 12 ]

⇒ √52

⇒ 2√13

HENCE, resultant is 2√13 kN.

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The resultant of two forces 2 KN and 6 kN which are acting at an angle 300 is

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