Find the resultant of two vectors of 3 units and 4 units acting at a point 0 at an angle of 45 degrees with each other
R² = a² + b² + 2 a b cos θ
R = √ ( a² + b² + 2 a b cos θ )
R = √ ( 3² + 4² + 2 ∙ 3 ∙ 4 ∙ cos 45° )
R = √ ( 9 + 16 + 24 ∙ cos 45° )
R = √ ( 25 + 2 ∙ 12 √2 / 2 )
R = √ ( 25 + 12 √2 )
R = 6.4784691671
Using cosine rule
OC²=OA²+OB²+2(OA)*(OB)*cos(180_135)=
=3²+4²+2(3)(4)*cos45
=9+16+2*3*4*0.7071
=25+24*0.7071
=25+16.970
=√41.9704
=6.48 units.
33[45o]+4[90o] = (3*cos45+4*cos90) + (3*sin45+4*sin90)i
2.12+6.12i = 6.48[71o].
FIND THE RESULTANT OF 2 VECTORS OF 3UNITS AND 4UNITS ACTING AT POINT 0 AT AN ANGLE OF 45 DEGREE OF EACH OTHER, USING THE TRIANGULAR METHOD.
19.1
19.11
Understand
Find The resultant of two vector of 3 unit and 4 unit acting at a point 0 at an angle of 45 with each other
6.48
Find the resultant of two vector of 3 units and 4 units acting at a point 0 at and angle of 45° with each other
In parallelogram of vector